assume that the failure strength of a beam can be represented by a normal distribution where the population standard deviation is 4 psi. if you need the width of the 95% confidence interval to be 3 psi, how large of a sample do you need?

Answers

Answer 1

A sample size of 45 is needed to achieve a 95% confidence interval with a width of 3 psi, assuming a population standard deviation of 4 psi.

We must apply the following formula to get the sample size required to obtain the desired width of the confidence interval:

n = (z * σ / E)²

n is the sample size, σ is the population standard deviation of the data, E is the margin of error, z is the intended degree of confidence.

Inputting the values provided yields:

n = (1.96 * 4 / 1.5)²

n = 44.23

So, we need a sample size of 45 to get a confidence level of 95%.

To know more about Confidence interval, visit,

https://brainly.com/question/20309162

#SPJ4


Related Questions

Your classmates Sarah, Gene and Paul are proposing plans for a class fundraiser. Each presents his or her proposal for the amount of money raised, y, for x number of hours worked, in different ways. Part A: Are each of the proposals represented by linear functions? Explain. Refer to lesson 7. 4 Comparing Linear and Non-Linear Functions. Part B: Does the class have any money in the account now? How can you tell? Calculate the y-intercept in order to find your answer. Part C: Which fundraising proposal raises money at the fastest rate? Explain. Refer to lesson 7. 2 Representations of Functions Part D: If Sarah and her classmates are hoping to raise $200, which proposal do you recommend that Sarah and her classmates choose? Analyze your answers to explain why you recommend that proposal. Note that there are different ways to analyze and display your thinking

Answers

All the plans proposed by classmates Sarah, Gene and Paul  represents linear function.

Total money in the account at (0 ,0 ) is $24.

Fundraising proposal showing fastest rate is of Sarah proposal plan.

To raise $200 recommended plan is of Sarah.

Standard linear function is y = mx + c

'm' is the slope and 'c' is the y-intercept.

For attached question

Let y represents the amount of money

And x represents the number of hours worked.

Proposing plan of Sarah represents the straight line

From graph consider two points

( x₁ , y₁ ) = ( 1, 20 )

(x₂ , y₂ ) = ( 2 , 30 )

Slope 'm' = ( y₂ - y₁ ) / ( x₂ - x₁ )

               = (30 -20 ) / ( 2 - 1 )

               = 10 /1

y = mx + c

⇒ 20 = 10(1) + c

⇒ c = 10

Linear function for Sarah is y = 10x + 10

Gene proposal ,

( x₁ , y₁ ) = ( 5, 42 )

(x₂ , y₂ ) = ( 10 , 77 )

Slope 'm' = ( y₂ - y₁ ) / ( x₂ - x₁ )

               = (77 -42 ) / ( 10 - 5 )

               = 35 /5

                = 7

y = mx + c

⇒ 112 = 7(15) + c

⇒ c = 7

Linear equation for Sarah is y = 7x + 7

Paul proposal is,

y = 10x + 7

Linear function.

This implies all proposal plans represents linear function .

As they are in form y = mx + c.

Yes class has money in the account.

Sarah has 10 , Gene has 7 and Paul has 7 in his account.

Total money in account = 24

If we put x = 5 in all the plans

Sarah raised

y = 10(5) + 10

  = 60

Gene raised

y = 7x + 7

 = 7(5) + 7

 = 42

Paul raised

y = 10x + 7

  = 10(5) + 7

  = 57

This implies Sarah plan raised the money at fastest rate.

Sarah and her classmates are hoping to raise $200

Sarah plan,

200 = 10x + 10

⇒ x = 19 hours

Gene plan

200 = 7x + 7

⇒ x = 27.6 hours

Paul plan

y = 10x + 7

⇒ 200 = 10x + 7

⇒x = 19.3hours

Recommended plan is of Sarah.

Therefore, all the proposal plans represents linear function.

Class has $24 in the account.

Sarah plan raises at the fastest rate.

Recommended plan is Sarah proposal plan.

learn more about linear function here

brainly.com/question/25293058

#SPJ4

The above question is incomplete, the complete question is:

Attached question.

- Olu has 2x oranges and Umar has 4 oranges less than Olu. How many oranges do they have altogether?​

Answers

The sum of oranges they have altogether is 4x-4



How to calculate the number of oranges they both have?

Olu has 2x oranges
Umar has 4 oranges less than olu. Hence the number of oranges that Umar has can be written is (2x-4)

The number of oranges they have altogether can be calculated as

2x + (2x-4)

Remove the brackets

2x + 2x -4

4x-4

Hence the sum of oranges that Olu and Umar has is 4x-4

Read more on sum here

https://brainly.com/question/24150117


#SPJ1

a plane travels 600 from salt lake city, utah, to oakland, california, with a prevailing wind of 30. the return trip against the wind takes longer. find the average speed of the plane in still air.

Answers

the average speed of the plane in still air is s + 30.

Let's call the average speed of the plane in still air "s" (in miles per hour).

We can use the formula:

time = distance / speed

to find the time it takes the plane to travel from Salt Lake City to Oakland with the wind and against the wind.

With the wind:

time with wind = [tex]600 / (s + 30)[/tex]

Against the wind:

time against wind =[tex]600 / (s - 30)[/tex]

time against wind > time with wind

So we can set up an inequality:

[tex]600 / (s - 30) > 600 / (s + 30)[/tex]

Multiplying both sides by [tex](s - 30)(s + 30)[/tex], we get:

[tex]600(s + 30) > 600(s - 30)[/tex]

Expanding and simplifying, we get:

[tex]600s + 18000 > 600s - 18000[/tex]

Subtracting 600s from both sides, we get:

[tex]18000 > -18000[/tex]

This inequality is true for all values of s. In other words, there are no restrictions on the value of s that would make the return trip take longer than the trip with the wind.

Therefore, we can use the average of the two speeds (with and against the wind) to find the average speed of the plane in still air:

Average speed = [tex]2s(s + 30) / (s + 30 + s - 30)[/tex]

Simplifying, we get:

Average speed = [tex]2s(s + 30) / (2s)[/tex]

Canceling the common factor of 2s, we get:

Average speed = s + 30

We know that the distance from Salt Lake City to Oakland is 600 miles, and we can use the formula:

time = distance / speed

to find the time it takes the plane to travel this distance:

time = [tex]600 / (s + 30)[/tex]

We also know that the return trip (against the wind) takes longer, so we can set up another equation:

time return trip =[tex]600 / (s - 30)[/tex]

We can use these two equations to solve for s:

[tex]600 / (s + 30) = 600 / (s - 30)[/tex]

Cross-multiplying, we get:

[tex]600(s - 30) = 600(s + 30)[/tex]

Expanding and simplifying, we get:

[tex]600s - 18000 = 600s + 18000[/tex]

Subtracting 600s from both sides, we get:

[tex]-18000 = 18000[/tex]

This is not a valid equation, so there must be no solution.

However, we can still find the average speed of the plane in still air by using the equation we derived earlier:

Average speed = s + 30

So the average speed of the plane in still air is s + 30. We don't have a specific value for s, but we can say that the average speed is equal to the speed with the wind plus 30 (which is the speed of the wind).

for such more questions on average speed

https://brainly.com/question/4931057

#SPJ11

Baseball Field Problem
Find the amount of fencing, dirt, and sod needed to rebuild the baseball field.
380 to the fence
G'
is
Grass
87
Cr=10
Gras
Grass
Note: Not drown to sale
Fence
Dut
IS'

Answers

The amount of fencing, dirt and sod for the baseball field are;

Length of fencing ≈ 1410.5 feet

Area of the sod ≈ 118017.13 ft²

Area of of the field covered with dirt ≈ 7,049.6 ft²

What part is the fencing of a baseball field?

The fencing of a baseball field is the outer enclosure of the field, which typically, is located along the outfield boundary.

The amount of fencing, dirt, and sod can be found using the formula for finding the circumference of a circle and the area of a circle as follows;

Area of a circle = π × r²

Circumference of a circle = 2 × π × r

Where r is the radius of the circle

The area of a quarter of a circle is therefore; Area of a circle ÷ 4

The perimeter of a quarter of a circle is; The perimeter of a circle ÷ 4

Fencing = (1/4) × 2 × π × 380 + 2 × 15 + 2 × 380 + (1/4) × 2 × π × 15

Fencing = 190·π + 790 + 7.5·π = 197.5·π + 790 ≈ 1410.5

The fencing ≈ 1410.5 feet

Grass = π/4 × (380 - 6)² + 87² - π/4 × (87 + 30)² + 2 × 380 × 15 + π/4 × 15² - (3/4) × π × 10² - 25·π = 31528·π + 18969 ≈ 118017.13

The area covered by the sod is about 118017.13 square feet

Dirt; π/4 × 380² - π/4 × (380 - 6)² + π/4 × (87 + 30)²- 87² + π·100 = (18613·π - 30276)/4 ≈ 7049.6

The area occupied by the dirt is about 7049.6 square feet

Learn more on the area of a sector of a circle here: https://brainly.com/question/29140580

#SPJ1

2 pints
4 quarts
gallon
gallon
1
16
8 cups
19 quart
1 gallon
B
1 quart
2
(FO
>
1 cup
(0
(W)
None
D
ee

Answers

The answer to the given question is You have a total of 40 cups.

How to solve

Convert each measurement to cups:

2 pints = 4 cups (1 pint = 2 cups)

4 quarts = 16 cups (1 quart = 4 cups)

1 gallon = 16 cups (1 gallon = 4 quarts = 16 cups)

1 quart = 4 cups

Add up the total cups:

4 cups (from 2 pints) + 16 cups (from 4 quarts) + 16 cups (from 1 gallon) + 4 cups (from 1 quart) = 40 cups

Answer: You have a total of 40 cups.

Read more about addition here:

https://brainly.com/question/4721701

#SPJ1

If you have 2 pints, 4 quarts, 1 gallon, and 1 quart, how many total cups do you have?

Determine the measure of the exterior angle in the diagram

Answers

the measure of the exterior angle ECD is 140 degrees.

Answer:

110°

Step-by-step explanation:

The sum of the angles in a triangle is equal to 180°

So, 2x°+3x°+(3x+4)°=180°

8x°+4°=180°

8x°=180°- 4°

8x°=176°

x°=22°

The exterior angle theorem states that when a triangle's side is extended, the resultant exterior angle formed is equal to the sum of the measures of the two opposite interior angles of the triangle.

So, the exterior angle is 2x°+3x°=5x°

As we got x°=22°, then 5x°=5×22°=110°

How do I round 9979.03 to the nearest gram?

Answers

Gram is a unit of mass, so you cannot directly round 9979.03 to the nearest gram. However, if you assume that you are talking about the nearest gram of weight, then you can round it as follows:

Since 1 gram is equal to 0.001 kilograms, you can convert 9979.03 grams to kilograms by dividing it by 1000:

9979.03 grams ÷ 1000 = 9.97903 kilograms

Now you can round 9.97903 kilograms to the nearest gram by looking at the first decimal place after the desired rounding point, which is the gram:

- If the first decimal place is less than 5, you round down.
- If the first decimal place is 5 or greater, you round up.

The first decimal place after the gram is 0, so you round down, and the nearest gram is therefore:

9.979 kilograms or 9979 grams

Can someone help me pls!!!

Answers

Answer: Yes

Step-by-step explanation: SSS criteria

Given the quadratic equation x^(2)+4x+c=0, what must the value of c be in order for the equation to have solutions at x=-3 and x=-1 ?

Answers

Answer:

Step-by-step explanation:

If the solutions are x = -3 and x = -1, then (x - 3) (x - 1) will give us our answer. Using the FOIL method,

(x - 3) (x - 1)

x^2 - x - 3x + 3

x^3 - 4x + 3 = 0

Your answer is 3

A circular garden is surrounded by fence that is 47. 1 feet long the surface soil of the entire garden within the fencing needs to be turned prior to planting calculate the square feet of soil that must be turned use 3. 14 as a substitute for pi help me please within the next hour

Answers

The surface soil of the entire garden within the fencing that needs to be turned prior to planting is approximately 176.625 square feet.

To calculate the area of the circular garden, we need to know the radius of the garden. We can find the radius by using the formula for the circumference of a circle, which is

C = 2πr

Where C is the circumference and r is the radius.

In this problem, we are given that the circumference of the garden is 47.1 feet, so we can set up the equation as

47.1 = 2πr

Solving for r, we get

r = 47.1 / (2π)

r ≈ 7.5 feet

Now that we know the radius, we can calculate the area of the garden using the formula for the area of a circle, which is

A = πr²

Substituting the value we found for r, we get:

A = 3.14 × (7.5)²

A ≈ 176.625 square feet

Learn more about area here

brainly.com/question/28642423

#SPJ4

how many intervals (or 'bins' or 'classes') should be chosen when creating a histogram? question 1 options: most often, about 8-10. eleven. it can vary - it really depends on the distribution of the variable. a minimum of 5.

Answers

"It can vary - it really depends on the distribution of the variable."

The number of intervals, or bins, to choose when creating a histogram can vary depending on the distribution of the variable.

Most often, about 8-10 intervals are used, but there is no set rule. It is generally recommended to have at least 5 intervals, but if the data is highly skewed or has outliers, more intervals may be needed to accurately represent the distribution.

Ultimately, the goal is to choose a number of intervals that provides a clear visual representation of the data without oversimplifying or overcomplicating the histogram.

The number of intervals or bins to be chosen when creating a histogram can vary and it really depends on the distribution of the variable.

While most often, about 8-10 bins are used, there is no hard and fast rule for the number of bins to be used in a histogram.

In general, the number of bins should be large enough to display the shape of the distribution clearly, but not so large that it obscures important features of the distribution or leads to overfitting.

A minimum of 5 bins is recommended to display the basic shape of the distribution, but more bins may be necessary for complex or multi-modal distributions.

Depending on the distribution of the variable, a histogram's number of intervals or bins can be altered.

There is no established guideline, however 8–10 intervals are typically utilized.

A minimum of five intervals are often advised, however if the data is extremely skewed or contains outliers, more intervals could be required to correctly depict the distribution.

For similar questions on variable.

https://brainly.com/question/27894163

#SPJ11

Joe solved the equation 3+x/2=10 and justified each step as shown.
Explain in words Joe’s error and fix his mistake.
Step Justification
3+x/2=10 Given equation
x/2=7 Multiplication Property of Equality
x = 14 Subtraction Property of Equality

Answers

The correct solution for the given equation is x = 17.

What is distributive property?

The distributive property is a mathematical property that relates multiplication and addition or subtraction. It states that multiplying a number by a sum (or difference) is equivalent to multiplying the number by each term of the sum (or difference) and then adding (or subtracting) the results.

According to question:

Joe's error is due to not using the order of operations correctly. In step 2, he did not use parentheses to isolate the x term before dividing by 2. Instead, he divided both 3 and x by 2, resulting in x/2 = 7.

To fix Joe's mistake, we need to apply the distributive property by adding parentheses around the numerator of the left-hand side of the equation, like this:

(3 + x)/2 = 10

Then we can multiply both sides by 2 to eliminate the fraction:

3 + x = 20

Finally, we can solve for x by subtracting 3 from both sides:

x = 17

Therefore, the correct solution is x = 17.

To know more about distributive property visit:

https://brainly.com/question/5637942

#SPJ1

What is the mode for the data set? 49, 47, 46, 40, 48, 41, 44, 49, 45, 42, 43

Answers

The mode of a data set is the value that appears most frequently. In the given data set, the value 49 appears twice, and all other values appear only once. Therefore, the mode for this data set is 49.

Answer:

49

Step-by-step explanation:

The mode is the number that appears most often in a set of data. In this case, 49 appears twice while all the other numbers only appear once.

why is 0.5 used in place of p when determining the minimum sample size necessary for a proportion confidence interval?

Answers

0.5 is used as a conservative estimate of p in determining the minimum sample size for a proportion confidence interval to account for maximum uncertainty.

How to determine the minimum sample size?

In statistical hypothesis testing and estimation, we often need to make inferences about population parameters based on a sample. One of the parameters of interest is the proportion of successes in a population.

When we construct a confidence interval for a proportion, we need to specify the desired level of confidence and the desired margin of error. The margin of error depends on the sample size and the standard error of the sample proportion.

The standard error of the sample proportion is estimated using the population proportion, p, which is unknown. Since we don't know the true value of p, we typically use the sample proportion, p-hat, as an estimate. However, using p-hat alone can lead to an overly optimistic estimate of the standard error and, therefore, an overly narrow confidence interval.

To account for this uncertainty, we use a conservative estimate of the standard error that assumes a worst-case scenario for p. The worst-case scenario is when p is 0.5, which corresponds to maximum uncertainty or variability in the estimate of the proportion. This is why 0.5 is often used as a conservative estimate of p when determining the minimum sample size necessary for a proportion confidence interval. By assuming p = 0.5, we ensure that our sample size is large enough to account for the worst-case scenario and provide a reliable estimate of the proportion.

Learn more about proportion confidence interval

brainly.com/question/13686615

#SPJ11

consider the following data set when answering questions 9-12. in a study of jury behavior, participants were provided details about a trial in which the defendant was obviously guilty. although group 2 was told the same details as group 1, they were also told that some evidence had been withheld from the jury by the judge. later the participants were asked to recommend a jail sentence in years. the length of sentence suggested by each participant is presented below. group 1 scores: 4 4 3 2 5 1 1 4 group 2 scores: 3 7 8 5 4 7 6 8 what is the null hypothesis for this test? the groups will differ in their suggested sentences the second group will have a longer mean sentence than group one the second group will have a shorter mean sentence than group one the 2 groups will not differ in terms of their suggested sentences

Answers

The null hypothesis for this test is that the 2 groups will not differ in terms of their suggested sentences.

The null hypothesis is a statement that there is no difference between the two populations or variables being tested.

It can be thought of as the "default" position, which assumes that any observed difference is due to chance.

The null hypothesis is usually written in a way that it can be tested and rejected or not rejected through statistical analysis.

The null hypothesis for this test is that the two groups will not differ in terms of their suggested sentences.

This means that any difference between the groups in their suggested sentences is due to chance and not a difference in the population or variables being tested.

This hypothesis can be tested and rejected or not rejected through statistical analysis.

If the two groups do differ in their suggested sentences then the null hypothesis will be rejected and it will be concluded that the difference is not due to chance but rather due to a difference in the population or variables being tested.

For similar question on hypothesis:

https://brainly.com/question/6984941

#SPJ11

Chase is moving and must rent a truck. There is an initial charge of $35 for the rental plus a fee of $2.50 per mile driven. Make a table of values and then write an equation for C,C, in terms of m,m, representing the total cost of renting the truck if Chase were to drive m miles.

Answers

The required equation in the given situation is C = 35 + 2.50m where C is the total cost and m is the number of miles driven.

What is the equation?

Equation: A declaration that two expressions with variables or integers are equal.

In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign.

A formula would be 3x - 5 = 16, for instance.

The equation would be:

C is the total cost and m is the miles driven.

We know that:
Charge of the truck: $35

Charge per mile: $2.50

Then, form the equation as follows:

C = 35 + 2.50m

Therefore, the required equation in the given situation is C = 35 + 2.50m where C is the total cost and m is the number of miles driven.

Know more about equations here:

https://brainly.com/question/2972832

#SPJ1

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2 + (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36

Answers

The two options that represent circles with diameter 12 units and center on the y-axis are:

x² + (y - 6)² = 36

x² + (y + 6)² = 36

What is circles diameter?

The diameter of a circle is a straight line segment that passes through the center of the circle and connects two points on its circumference. It is twice the length of the circle's radius.

The equations that represent circles that have a diameter of 12 units and a center that lies on the y-axis are:

x² + (y - 6)² = 36

x² + (y + 6)² = 36

Explanation:

For a circle with diameter 12 units, the radius is half of the diameter, which is 6 units.

Since the center of the circle lies on the y-axis, the x-coordinate of the center is 0.

The general equation for a circle with center (h, k) and radius r is (x - h)² + (y - k)² = r².

Using the given information, we substitute h = 0, k = ±6, and r = 6 to get the two equations:

(x - 0)² + (y - 6)² = 6² => x² + (y - 6)² = 36

(x - 0)² + (y + 6)² = 6² => x² + (y + 6)² = 36

Therefore, the two options that represent circles with diameter 12 units and center on the y-axis are:

x² + (y - 6)² = 36

x² + (y + 6)² = 36

To know more about circles diameter visit:

https://brainly.com/question/28162977

#SPJ1

ssume that the failure strength of a beam can be represented by a normal distribution where the population standard deviation is 4 psi. if you need the width of the 95% confidence interval to be 3 psi, how large of a sample do you need?

Answers

The failure strength of a beam can be represented by a normal distribution where the population standard deviation is 4 psi, we get a test measure of 7. Subsequently, we would require a test of at slightest  7 pillars to attain a 95% certainty interim with a width of 3 psi...

To discover the test measure required to realize a 95% certainty interim with a width of 3 psi, we ought to utilize the equation:

n = [ (z*σ) / E ][tex]^{2}[/tex]

where:

n is the test measure

z is the z-score related to the specified level of certainty (in this case, 95% compares to a z-score of 1.96)

σ is the populace standard deviation

E is the specified edge of blunder (in this case, 3 psi)

n = [ (1.96 * 4) / 3 ][tex]^{2}[/tex]

n = [ 2.61 ][tex]^{2}[/tex]

n = 6.82

we get a test measure of 7. Subsequently, we would require a test of at slightest 7 pillars to attain a 95% certainty interim with a width of 3 psi.

To learn about standard deviation visit:

https://brainly.com/question/29088233

#SPJ4

 

Saanvi brought a boat 13 years ago. It depreciated in value at a rate of 2.5% per year and is now worth £3115.

How much did Saanvi pay for the boat?

Answers

Saanvi paid £5329.39 for the boat 13 years ago. This is based on the assumption that the boat depreciated at a constant rate of 2.5% per year. It is important to note that there could be other factors that affect the value of the boat, such as maintenance, repairs, and upgrades, which are not accounted for in this calculation.

How to solve the question?

To find out how much Saanvi paid for the boat, we can use the concept of depreciation. Depreciation is the reduction in value of an asset over time. In this case, the boat has depreciated at a rate of 2.5% per year.

Let the initial value of the boat be 'P'. After one year, the value of the boat would be 97.5% of P. After two years, it would be 95% of P, and so on. We can write this mathematically as:

Value of the boat after n years = P x (0.975)^n

We are given that the value of the boat after 13 years is £3115. Therefore, we can write:

3115 = P x (0.975)^13

Solving this equation for P, we get:

P = 3115 / (0.975)^13

P = 5329.39

Therefore, Saanvi paid £5329.39 for the boat.

In conclusion, Saanvi paid £5329.39 for the boat 13 years ago. This is based on the assumption that the boat depreciated at a constant rate of 2.5% per year. It is important to note that there could be other factors that affect the value of the boat, such as maintenance, repairs, and upgrades, which are not accounted for in this calculation.  

To know more about deprecition visit:-

https://brainly.com/question/27971176

#SPJ1

Consider this equation.

X-1-5=x-8

The equation has blank and blank. A valid solution for x is blank

Answers

The equation √( x - 1 ) - 5 = x - 8 has 2 valid and no extraneous solution , a valid solution is x = 2 or 5.

Equation is equal to,

√( x - 1 ) - 5 = x - 8

Add 5 on both the side of the equation we get,

⇒ √( x - 1 ) - 5 + 5 = x - 8 + 5

⇒ √( x - 1 ) = x - 3

Squaring both the sides of the equation we get,

⇒ ( √x - 1 )² = ( x - 3 )²

⇒ x - 1 = x² - 6x + 9

⇒ x² - 6x - x +  9 + 1 = 0

⇒ x² -7x + 10 =0

Factorize it using splitting method to get the solution,

⇒ x² - 2x - 5x + 10 =0

⇒ x( x -2 ) - 5 ( x - 2 ) =0

⇒ ( x - 2 ) ( x - 5 ) = 0

⇒  x = 2 or x = 5

Therefore, equation has 2 valid solution and no extraneous solution.

valid solution for x = 2 or 5.

Learn more about solution here

brainly.com/question/24609052

#SPJ4

The above question is incomplete, the complete question is :

Consider this equation.

√( x - 1 ) - 5 = x - 8

The equation has blank and blank. A valid solution for x is blank.

a new whitening toothpaste advertises four shades as the mean number of shades the toothpaste whitens your teeth. one user claims that the mean number of shades the toothpaste whitens your teeth is less than four shades. the user conducts a hypothesis test and fails to reject the null hypothesis. assume that in reality, the mean number of shades the toothpaste whitens your teeth is four shades. was an error made? if so, what type?

Answers

It appears that a Type II error was made in the hypothesis test conducted by the user.

What is a Type II error?

A Type II error, also known as a "false negative," is a statistical error that occurs when a null hypothesis is actually true, but a hypothesis test fails to reject the null hypothesis, leading to the incorrect conclusion that there is no significant effect or difference when, in fact, there is.

According to the given information:

Based on the given information, it appears that a Type II error was made in the hypothesis test conducted by the user.

In this case, the user claimed that the mean number of shades the toothpaste whitens teeth is less than four, and conducted a hypothesis test to test this claim. However, the given information states that the true mean number of shades the toothpaste whitens teeth is actually four. If the user failed to reject the null hypothesis, it means that they did not find enough evidence to support their claim that the mean number of shades is less than four, even though it is actually true.

This would be a Type II error because the null hypothesis (which assumes that the mean number of shades is four) is actually true, but the test failed to detect this and erroneously failed to reject the null hypothesis. In other words, the user made an error in concluding that there is no significant effect or difference, when in fact there is.

To know more about Type II errors visit:

https://brainly.com/question/24320889

#SPJ1

Slope-intercept (0, -2) , (9,1)

Answers

Answer:
Do you have a graph or anything?

A pistol is accidently discharged vertically in the air. The height, h, of the bullet at time t seconds is recorded in the table below. Using an equation to model the data, find the height of the pistol after 10 seconds.

t (sec)
0
1
2
3
4
h (ft)
3
187
339
459
547

Answers

The height of the pistol after 10 seconds is 783 feet.

How to  find the height of the pistol after 10 seconds.

We can use the method of finite differences to find the degree of the polynomial function that models the data. The first differences are:

3, 18, 37, 56, 72

The second differences are:

15, 19, 19, 16

Since the second differences are constant, we know that the function that models the data is a quadratic function of the form:

h(t) = at² + bt + c

where a, b, and c are constants to be determined.

To find a, we can use the fact that the coefficient of t² in the quadratic function is equal to half of the second difference. Thus, we have:

a = 1/2(15) = 7.5

To find b, we can use the fact that the coefficient of t in the quadratic function is equal to the first difference minus twice the coefficient of t². Thus, we have:

b = 18 - 2(7.5) = 3

To find c, we can use the fact that the constant term in the quadratic function is equal to the value of h(0). Thus, we have:

c = h(0) = 3

Therefore, the equation that models the data is:

h(t) = 7.5t² + 3t + 3

To find the height of the pistol after 10 seconds, we can substitute t = 10 into the equation:

h(10) = 7.5(10)² + 3(10) + 3

h(10) = 750 + 30 + 3

h(10) = 783

Thus, the height of the pistol after 10 seconds is 783 feet.

Learn more about polynomial function at https://brainly.com/question/2833285

#SPJ1

the coefficient of determination resulting from a particular regression analysis was 0.85. what was the slope of the regression line?

Answers

The slope of the regression line is 0.922. Option C is correct.


The coefficient of determination (R-squared) is defined as the proportion of the variance in the dependent variable that is explained by the independent variable(s) in a linear regression model. It can be calculated as the square of the correlation coefficient (r) between the dependent and independent variables.

If we assume a simple linear regression model with a single independent variable (x) and a single dependent variable (y), the slope of the regression line (b) can be calculated as:

b = r * (Sy / Sx)

where r is the correlation coefficient between x and y, Sy is the standard deviation of y, and Sx is the standard deviation of x.

If the coefficient of determination is 0.85, then the correlation coefficient is the square root of 0.85, which is approximately 0.922. Assuming the standard deviations of x and y are known, we could use the formula above to calculate the slope of the regression line as:

b = 0.922 * (Sy / Sx)
Therefore, 0.922, could be the slope of the regression line in this case, if the assumptions of a simple linear regression model with known standard deviations are met. Option C is correct.

The complete question is

The coefficient of determination resulting from a particular regression analysis was 0.85. What was the slope of the regression line?

a. 0.85

b. -0.85

c. 0.922

d. There is insufficient information to answer the question.

e. None of the above

To know more about the Analysis, here

https://brainly.com/question/27178867

#SPJ4

math please. its for a quiz

Answers

The quotient function of f(x) and g(x) is given as follows:

(f/g)(x) = 3x^(3/4).

How to obtain the quotient function?

The functions in the context of this problem are defined as follows:

f(x) = 3x.g(x) = x^(1/4).

When we want to divide two functions, we just divide each other, hence:

(f/g)(x) = f(x)/g(x) = 3x/x^(1/4).

When we divide two terms with the same base and different exponents, we keep the base and subtract the exponents, hence:

x/x^(1/4) = x^(1 - 1/4) = x^(3/4).

Hence the function is:

(f/g)(x) = 3x^(3/4).

More can be learned about quotient of functions at https://brainly.com/question/23520000

#SPJ1

In circle A, marc BC is 61° and marc EF is 76°: Points B, C, E, and F lie on Circle A. Lines BE and CF pass through point D, creating angle EDF. The measure of arc BC is 61 degrees, and the measure of arc EF is 76 degrees. What is m∠FDE? 30.5° 38° 76° 68.5°

Answers

The measure of angle FDE is 68.5°

the correct answer is an option (d)

Consider the following figure.

We know that whenever two chords cut across a circle, the resulting angle is equivalent to half of the sum of the measurements of the arc the angle intersects and that which the angle vertical to the first angle intercepts.

Here, chords BE and FC cuts across the circle forming ∠FDE.

According to above statement, the measure of ∠FDE would be equal to the sum of the measurements of the arc BC and FE

⇒ m∠FDE = 1/2( Arc BC + Arc FE)

⇒ m∠FDE = 1/2 (61° + 76°)

⇒ m∠FDE = 137/2

⇒ m∠FDE = 68.5°

Therefore, the correct answer is an option (d)

Learn more about an angle here:

https://brainly.com/question/14569348

#SPJ4

Answer:

The measure of angle FDE is 68.5° (D)

Step-by-step explanation:

I TOOK THE TEST

in a shipment of 15 room air conditioners, there are 5 with defective thermostats. two air conditioners will be randomly selected (without replacement) and inspected. what is the probability that the selected two are both defective? round your answer to four decimal places.

Answers

The probability of both selected room air conditioners are defective is equal to 0.0952 rounded to four decimal places.

Total number of room air conditioners in shipment = 15

Number of defective room air conditioners = 5

The probability of the first air conditioner being defective is 5/15.

Since there are 5 defective air conditioners out of a total of 15.

After one air conditioner has been inspected,

There will be 4 defective air conditioners left out of a total of 14.

The probability of the second air conditioner also being defective, given that the first one was defective, is 4/14.

Probability of both air conditioners being defective.

Multiply probability of first air conditioner being defective by probability of second air conditioner being defective.

Given by first one was defective,

P(both defective) = (5/15) x (4/14)

Simplifying this expression ,

P(both defective) = 2/21

Therefore, the probability that the selected two air conditioners are both defective is 0.0952 rounded to four decimal places.

learn more about probability here

brainly.com/question/30613202

#SPJ4

A concert hall opened in 2019. The average number of visitors per concert during that year was 584. In 2020, the average number of visitors per concert increased by 1. 2% find the average number of visitors per concert in 2020

Answers

The average number of visitor per concert in 2020 as compare to average number of visitors in 2019 is equal to 591 ( approximately ).

Average number of visitors per concert in 2019 was 584,

And the average number of visitors per concert in 2020 increased by 1.2%,

The average number of visitors per concert in 2020 as follows,

Average number of visitors per concert in 2020

= Average number of visitors per concert in 2019 + Increase in average number of visitors per concert

Increase in average number of visitors per concert

= 1.2% of the average number of visitors per concert in 2019

= (1.2/100) x 584

= 7.008

This implies,

The increase in the average number of visitors per concert from 2019 to 2020 is approximately 7.008.

Adding this increase to the average number of visitors per concert in 2019 gives us,

Average number of visitors per concert in 2020

= 584 + 7.008

= 591.008

Rounding this to the nearest whole number, we get,

Average number of visitors per concert in 2020 ≈ 591

Therefore, the average number of visitors per concert in 2020 is approximately 591.

Learn more about average number here

brainly.com/question/27482419

#SPJ4

Huseyin was able to map quadrilateral EFGH onto EJGK using a vertical stretch

Answers

Huseyin used a vertical stretch, so the quadrilateral aren't similar. So correct option is A.

Describe Quadrilateral?

A quadrilateral is a geometric shape that consists of four straight sides and four angles. It is a polygon because it is a closed shape with multiple straight sides.

There are various types of quadrilaterals, which are classified based on their properties. Some common types of quadrilaterals include squares, rectangles, rhombuses, parallelograms, trapezoids, and kites.

A square is a quadrilateral with four equal sides and four equal right angles. A rectangle has four right angles but opposite sides are equal. A rhombus has four equal sides, but its angles are not necessarily right angles. A parallelogram has opposite sides that are parallel and equal in length, but its angles are not necessarily right angles. A trapezoid has only one pair of opposite sides that are parallel. A kite has two pairs of adjacent sides that are equal in length.

We know that that two quadrilateral are similar if corresponding angles are congruent and measures of their corresponding sides are proportional.

In the given transformation, angles that corresponding to each other are

∠fEH and ∠JEK

∠EHG and ∠EKG

∠HGF and ∠KGJ

and ∠GFE and ∠GJE

Here all four angles of EFGH are not congruent to other four angles of EJGK.

So,

Here Huseyin used a vertical stretch, so the quadrilateral aren't similar.

To know more about angles visit:

https://brainly.com/question/10462409

#SPJ1

The complete question is:

Determine the domain of the following graph:
21098
11
76
4
+32
2
1
-12-11-10-9-8-7-6-5-4-3-2-1
5
ܐ ܣ ܣ ܟ ܬ ܬ { ܣ ܣ
-2
-3
-4
-5
-6
-9
-7
-10
-8
-11
-12
2 3 4 5 6 7 8 9 10 11 12

Answers

The domain of the following graph is equal to [-11. -3]

What is a domain?

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function is defined.

How to identify the domain any graph?

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-11, -3].

Range = [-5, 0].

Read more on domain here: brainly.com/question/9765637

#SPJ1

Other Questions
The atomic mass is the The stream function for a given two dimensional flow field is Y = 5x2y- (5/3)y3 Determine the corresponding velocity potential T/F the risks and expense of manned deep-water exploration must be balanced with the knowledge that will be gained. a client who experienced a traumatic head injury reports extreme thirst. the nurse notes that the client is consuming 10 to 15 liters of water daily and is experiencing polyuria. which does the nurse suspect? Find the distance of d, ab What are the differences between mutual funds, unit investment trusts, and hedge funds?Notes:Make sure to include: What is the difference between mutual funds and hedge funds? What is the difference between mutual funds and unit investment funds? What is the difference between hedge funds and unit investment funds? 1.Below is a demand schedule facing an individual firm. Complete the table by computing average revenue, total revenue, and marginal revenue. Then answer the following two questions: (a) How can you tell whether a firm is operating in a market that is purely competitive? (b) What relationship exists between average revenue and marginal revenue? (6 marks) Quantity Average Total Marginal Price demanded revenue revenue revenue $30 0 $_____ $_____ 30 1 _____ _____ $_____ 30 2 _____ _____ _____ 30 3 _____ _____ _____ 30 4 _____ _____ _____ 30 5 _____ _____ _____ 30 6 _____ _____ _____ all of these rules must be followed in the handling earnest monies except the a. monies must be placed in a non-interest bearing account. b. records must be keep for ten years. c. monies must be placed in a federally insured depository. d. monies must be deposited in the escrow account within one business day of contract formation. d. monies must be deposited in the escrow account within one business day of contract formation. in three flips of an unfair coin the probability of getting three heads is the same as the probability of getting exactly two tails. what is the ratio of the probability of flipping a tail to the probability of flipping a head? Read the two scenarios below. Identify each situation as phagocytosis or pinocytosis. Provide an explanation foryour answers.A. A bacterial cell is engulfed by a white blood cell.B. A protist cell absorbs dissolved food particles in the extracellular fluid. The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 62 and a standard deviation of 11. Using the empirical rule (as presented in the book), what is the approximate percentage of 1-mile long roadways with potholes numbering between 51 and 84? explain how you could build a dc motor rotation direction control with nand gates. assume the gates can provide enough source or sink current to the motor. how would you control the motor with your arduino? If a pendulum bob is released from its farthest right position and it swings in small ares, then the distance a from the equilibrium position can be described by a cosine function. Assume a pendulum bob swings in an are 7.5 centimeters wide with a period of 1.1 seconds. Let a be positive if the bob is to the right of the equilibrium position and let t be the time after the bob's release. What is the equation for the bob's horizontal location and where is the bob after 0.9 seconds? Round as needed to two decimal places. Mike has the utility function U = 2XY (X, Y are 2 goods). PX = 4 $/unit and PY = 6$/unit. Mikes income is $600.Suppose that Mike wants to have U=300, what is his minimum expenditure? DOES TECHNOLOGY MAKE US FEEL MORE ALONE? for decades, scientists relied on the fossil record and comparative anatomy to assemble evolutionary lineages. which statement describes a limitation of these methods? (1 point) responses they are no longer relevant because the fossil record is complete. they are no longer relevant because the fossil record is complete. they are not reliable evidence of how the body structures of organisms evolved. they are not reliable evidence of how the body structures of organisms evolved. they cannot be used to determine when species evolved. they cannot be used to determine when species evolved. they can show false relationships between organisms that are not reflected in the dna. what is the science and art of ensuring that goods and services are created and delivered successfully to customers? a. operations management b. supply chain management c. decision support systems d. customer relationship management e. enterprise resource planning 1. (1 pt.) the article describes how light is absorbed and reflected. if a dye on an easter egg absorbed green light what color would the egg appear to be? giving away tickets to pre-season games to introduce fans to the team and the sport is an example of which of the following statements are true regarding the electromagnetic spectrum?check all that apply.which of the following statements are true regarding the electromagnetic spectrum?check all that apply.visible light lies at the center of the electromagnetic spectrum.radio waves have wavelengths on the order of meters and very low photon energies.x rays and gamma rays have very long wavelengths and very low photon energies.infrared radiation has long wavelengths and low photon energies.ultraviolet radiation has long wavelengths and low photon energies.