What is Null hypothesis?
The null hypothesis assumes that any difference between the selected attributes in a set of data is attributable to chance. For example, if the predicted earnings for the gambling game are genuinely zero, then any discrepancy between the data's average earnings and zero is due to chance.
(a) The appropriate null and alternative hypotheses for this setting are:
Null hypothesis: The actual mean systolic pressure (μ) of the individual is not greater than 130 (μ ≤ 130).
Alternative hypothesis: The actual mean systolic pressure (μ) of the individual is greater than 130 (μ > 130).
(b) Type I error occurs when the null hypothesis is rejected when it is actually true. In this case, it means that the device recommends that the person seeks medical attention when they do not actually need it. The consequence of this error is that the person may undergo unnecessary medical tests or treatments, which can be costly, time-consuming, and can cause anxiety or other negative effects.
Type II error occurs when the null hypothesis is not rejected when it is actually false. In this case, it means that the device does not recommend medical attention when the person actually needs it. The consequence of this error is that the person may not receive the necessary medical attention and treatment, which can lead to serious health problems, including organ damage or failure, stroke, or heart attack.
(c) In this scenario, the cost of making a Type II error is likely to be much higher than the cost of making a Type I error. The reason is that failing to detect high blood pressure in a person can have serious health consequences. Therefore, it is better to make the Type I error probability smaller and the Type II error probability larger. This means that the device should be adjusted to have a higher threshold for recommending medical attention, which would decrease the likelihood of a false alarm, even if it increases the likelihood of missing some cases where medical attention is needed.
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The initial assertion that forms the null hypothesis frequently rests on research from the past or expert knowledge. According to the alternative hypothesis, a population parameter is either less, larger, or different from the value predicted by the null hypothesis.
What are the distinctions between Type I and Type II errors and what impact do they have?A type I error (false-positive) occurs when a researcher rejects a null hypothesis that is actually true in the population; if the researcher does not do this When a null hypothesis is rejected even when it is false in the population, this is known as a type II error (false-negative).
What does a hypothesis parameter mean?Parameter Hypothesis testing is a second sort of statistical inference.
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if a data set is normally distributed what percent of the data will lie below the mean
Explanation:
The normal curve, aka bell curve, has mirror symmetry with the mean at the very center. Half of the data is below the mean, while the other half is above the mean.
About 68% of the data will lie below the mean in a normally distributed data set. This is known as the Empirical Rule, which states that if a data set is approximately normally distributed, then approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.
2. How can the term unit square help you to remember
that area is measured in square units?
When ever the area is calculated the units will have a degree of two.
What is an area?The area is defined as the space covered by any two-dimensional body. The unit if the area is calculated as square units. The square units come because the area is calculated by the two parameters of length.
The area of the rectangle is calculated by the multiplication of the two lengths like length and width.
Similarly, the area of the circle is calculated by taking the square of the radius of the circle it means that the length here is also multiplied by two times.
Therefore, the area is calculated in an square units.
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Divide ₹1750 into 2 parts such that if one part be lent out at 15% per annum for 2 years and the other part at 16% per annum for 3 years, the total interest is 624.
The amount of lent out at 15% and 16% will be ₹1,200 and ₹550, respectively.
What is simple interest?Let P be the principal, R be the rate of interest, and T be the time. Then the interest rate is given as,
The formula for interest is written as,
I = (PRT)/100
Divide ₹1750 into 2 parts such that if one part is lent out at 15% per annum for 2 years and the other part at 16% per annum for 3 years, the total interest is 624.
Let 'x' be the amount of lent out at 15%. Then the amount of lent out at 16% is (₹1750 - x). Then the equation is given as,
(x · 0.15 · 2) + [(1750 - x) · 0.16 · 3] = 624
Simplify the equation, then we have
(x · 0.15 · 2) + [(1750 - x) · 0.16 · 3] = 624
0.30x + 840 - 0.48x = 624
0.18x = 216
x = ₹1,200
Then the value of (₹1750 - x) is given as,
₹1750 - x = (₹1750 - ₹1,200)
₹1750 - x = ₹550
The amount of lent out at 15% and 16% will be ₹1,200 and ₹550, respectively.
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While playing a game of chance, Mei rolled a regular six-sided die 100 times and noticed that it landed on the number 4 exactly 48 times. What could Mei conclude about the die?
We are 90% confident that the true proportion of times the die would land on the number 4 is between 0. 398 and 0. 562. Since this includes 0. 5, the die appears to be fair. We are 90% confident that the true proportion of times the die would land on the number 4 is between 0. 398 and 0. 562. Since this is much greater than 1 out of 6, the die appears to be unfair. We are 90% confident that the true proportion of times the die would land on the number 4 is between 0. 382 and 0. 578. Since this is much greater than 1 out of 6, the die appears to be unfair. We are 90% confident that the true proportion of times the die would land on the number 4 is between 0. 382 and 0. 578. Since this includes 0. 5, the die appears to be fair
Mei concluded that
We are 90% confident that the true proportion of times the die would land on the number 4 is between 0.398 and 0.562. Since this includes 0.5, the die appears to be fair.
It is based on a statistical analysis of the data collected by Mei.
The proportion of times the die landed on the number 4 is calculated as 48/100 = 0.48.
Using a statistical method called a confidence interval, we can estimate the range of values that the true proportion of times the die would land on the number 4 is likely to fall within, with 90% confidence.
The confidence interval calculated for this data is 0.398 to 0.562.
Since this interval includes the value of 0.5 (which would be the proportion of times a fair die would land on the number 4), By using statistical method we cannot reject the hypothesis that the die is fair.
Hence,
By using statistical method, we can conclude that the die would land on the number 4 is between 0.398 and 0.562 as 0.5 the die appears to be fair.
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fifth fifth generation equipment is state the advantage and disadvantage how such computers were designed
Answer:
Step-by-step explanation:
Advantages of Fifth Generatin of Computer:These computers are much faster than other generation computers. Development of true artificial intelligence.
Development of Natural language processing.
Advancement in Parallel Processing. Advancement in Superconductor technology. More user-friendly interfaces with multimedia features. Availability of very powerful and compact computers at cheaper rates.
Disadvantages of Fifth Generatin of Computer: They tend to be sophisticated and complex tools. ...
Example of Third Generation of Computer: Desktop.
Solve: x²-8x = 24
O x = − 4 ± √√40
O
x = 2√/10 ± 4
Ox=4±2√10
O x = 4+√40
The solution of the expression x²-8x = 24 will be x = 4+√40. The correct option is D.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
Given that the quadratic expression is, x²-8x = 24. The expression will be solved as below,
x²-8x = 24
Solve the above expression by completing the square method.
x²-8x = 24
( x - 4 )² - 24 - 16 = 0
( x - 4)² =40
x - 4 = √40
x = √40 + 4
Therefore, the correct option is D.
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A daycare center in Burlington
currently has 8 assistant caregivers
and 5 senior caregivers. Since demand
is high, the owner is going to be hiring
3 assistant caregivers per month and
4 senior caregivers per month. Her
goal is to have a larger staff, including
an equal number of assistant
caregivers and senior caregivers. How
long will that take? How many of each
type will there be?
The number of months it will take to have same number of caregivers is 3 months .And there will be of 17 caregivers of each type.
What is an equation?
An equation is an expression with variables and constant having an equality sign. The degree of equation can be one or more than one.
We are given that initially there are 8 assistant caregivers
and 5 senior caregivers.
And the owner is going to be hiring 3 assistant caregivers per month and
4 senior caregivers per month.
Hence the number of total assistant caregivers after n months will be
3n +8
And the number of senior caregivers after n months will be 4n+ 5
To find n we equate the two
3n + 8 = 4n+5
n =3
Hence after 3 months there will be same number of assistant and senior caregivers
And the total number of assistant and senior caregivers is 3(3)+8 = 17
The number of months it will take to have same number of caregivers is 3 months .And there will be of 17 caregivers of each type.
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Felipe wants to go to all 19 home games at a football club.
For each game, a ticket costs £32
A season ticket costs £389 and gives entry to all 19 home games.
In total, how much does Felipe save by buying a season ticket?
Answer: 219
Step-by-step explanation:
32 times 19= 608
608 minus 389=219
Write a real-world situation and an algebraic expression that is represented by the bar diagram:
The expression is there are 2 chocolates and 5 lollypops having a total cost of $5. The expression is 2C + 5L = $5.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.
Suppose the real-time situation is if there are 2 chocolates and 5 lollypops having a total cost of $5.
The mathematical form of the expression can be written as:-
2C + 5L = 5
Here, C is the cost per chocolate and L is the cost of per Lollypop.
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The complete question is given below.
Write the expression if there are 2 chocolates and 5 lollypops having a total cost of $5.
can someone help it’s due today
look at attachment
The graph of the relation G is shown below.
Give the domain and range of G .
Write your answers using set notation.
please explain it too I dunno what I'm doing btw I set the point worth to 50 points
Answer:
The answer is 15 and 22
Step-by-step explanation:
KHAN
Pleaseeee help needddd done asappppp
8 is (6x^2-7x-5)/(2x + 1)
96 Vistors in 6 Hours. How many visitors per hour?
Answer:
16 visitors per hour
Step-by-step explanation:
96/6 = 16
19 ounces of canned corn for $3.61
Step-by-step explanation:
106 ounces106 ouncesThis 10 can contains 106 ounces of corn, making it ideal for foodservice operators and large gatherings.don't forget to smile today
and make brainalist
82.6>-11.8d
What is d?
Answer:
d > - 7
Step-by-step explanation:
Swap the sides :
- 11.8d < 82.6
Then, divide both sides of the inequality by -11.8 and flip the inequality sign
Which measure of centre is meaningful when the data are qualitative?
A. The range
B. The mean
C. The mode
D. The median
The correct answer is C. The Mode.
What is data in math?Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.
This measure of centre is most meaningful when the data is qualitative because it shows the value that appears most frequently in the data set. The mode can be used to identify the most popular item or most commonly occurring outcome. It is the only measure of centre that can be used for qualitative data, as the other measures (mean, median, and range) require numerical data.
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Solve for y
x-3/2y=-12
The equation x-3/ 2y=-12 when solved for the variable y is y = x-3/-24
How to solve for the variableWe have to make 'y' the subject from the equation, we have;
x-3/2y=-12
By solving for the variable, we need to work it out.
Also, we have to make it stand alone on one end of the equality sign.
cross multiply the values
x - 3(1) = -12(2y)
multiply the values
x-3 = -24y
Make 'y' the subject by dividing both sides by the coefficient of y
y = x-3/-24
Hence, the equation is y = x-3/-24
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At 10:00 am, two boys start out on their bikes to meet each other from towns located 68 miles apart. They meet at 1 pm. If one boy travels 3 miles per hour faster than the other, what was the speed of each boy?
The speed of each boy is given as follows:
Faster: 12.83 miles per hour.Slower: 9.83 miles per hour.How to define the linear function?
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
The slope m represents the rate of change.The intercept b represents the value of y when x = 0.For this problem, the parameters are given as follows:
Slope: velocity.Intercept: initial position.Hence the functions are given as follows:
vt.68 - (v - 3)t.They meet at 1 pm, which is three hours after 10 am, hence the velocity of the faster boy is obtained as follows:
3v = 68 - 3(v - 3)
3v = 68 - 3v + 9
6v = 77
v = 77/6
v = 12.83 miles per hour.
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how to interperet ratios into values?
solve:
3/4 : 1/2
what is the value?
The value of the given ratio 3/4 : 1/2 is 3/2.
How to interperet ratios into values?To get the value of a ratio, we just need to take the quotient between the first and second values.
For example, the value of a:b is a/b.
In this case we have the ratio:
3/4 : 1/2
Taking the quotient we will get:
(3/4)÷(1/2) = (3/4)*(2/1) = 6/4
= 3/2
That is the value of the ratio.
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the weights of medium oranges packaged by an orchard are normally distributed with a mean of 14 oz and a standard deviation of 2 oz. 1 orange is randomly selected. what is the probability that this orange weighs more than 17 oz?
The probability that an orange weighs more than 17 oz is 0.1587.
The probability that an orange weighs more than 17 oz is 0.1587. This value can be calculated using the Z-score formula, which is used to calculate the probability of an event occurring. The formula is as follows:
Z = (x - μ) / σ
where x is the data point, μ is the mean, and σ is the standard deviation.
In this case, the Z-score is (17 - 14) / 2 or 1.5. We can find the probability using the Z-score table, which gives us 0.1587, the probability that an orange weighs more than 17 oz.
The Z-score formula is useful for determining the probability of an event occurring when the data follows a normal distribution. Knowing the mean and standard deviation, we can calculate the likelihood of a certain outcome occurring. In this case, the probability that an orange weighs more than 17 oz is 0.1587.
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can solve the question in the picture and solve both parts
Answer:
zeroparallel to the x-axisStep-by-step explanation:
You want to know the slope of the line segment between (-4, -3) and (3, -3), and its relation to the x-axis.
SlopeThe slope of a line between two points (x1, y1) and (x2, y2) is given by the formula ...
m = (y2 -y1)/(x2 -x1)
For the given points, the slope is ...
m = (-3 -(-3))/(3 -(-4)) = 0/7 = 0
The slope of the line segment is zero.
The line segment has the same slope as the x-axis. It is parallel to the x-axis.
__
Additional comment
The equation of the line segment is ...
y = -3 . . . for -4 ≤ x ≤ 3
The equation of the x-axis is ...
y = 0
I don’t understand this can someone help
Answer:
f(-2) = 2
Step-by-step explanation:
Using the graph, we can determine the y value when x = -2.
When x = -2, the y value is 2.
f(-2) = 2
Todd and Amani started savings accounts. Todd started with
$10 and deposits $4 each week. Amani started with $10 and
makes two $2 deposits each week. Complete the table. Will
Todd and Amani ever have the same amount in their
accounts? Why or why not? Write an equation to represen-
the total amount in each of their accounts at any
given time.
a) Since Todd and Amani started with the same initial deposit, they will never have the same amount in their accounts if they keep to their weekly savings plans because Todd's weekly savings are two times that of Amani.
b) An equation to represent the total amount in each of their accounts at any given time or weeks is as follows:
Todd, t = 10 + 4wAmani, a = 10 + 2w.What is an equation?An equation is a statement of equality or equivalence of two or more mathematical expressions.
Mathematical expressions combine values, variables, and numbers or constants without the equation symbol (=), which differentiates them from equations.
Todd Amani
Initial deposit in account $10 $10
Weekly deposits $4 $2
Let the number of weeks of deposits = w
Let the total deposit in Todd's account in w weeks = t
t = 10 + 4w
Let the total deposit in Amani's account in w weeks = a
a = 10 + 2w
For Todd's and Amani's account to be equal, 10 + 4w = 10 + 2w
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State how the triangles are congruent using SSS, SAS, ASA, AAS, or
HL. If they are not congruent, type NOT.
Answer:
AAS
Step-by-step explanation:
There are two pairs of congruent angles, and the pair of congruent sides is not included in between the angles.
Start with the equation −5=x. Do the same thing to each side at least three times to create an equation that has the same solution as the starting equation.
A right triangle has acute angles c and d . If c=15/8 and sin d=8/17, what are cos d and cos c?
The value of the right triangle cos d = 15/17 and cos c = 8/17.
What are trigonometric functions?Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.
Given that, the value of tan c = 15/8 and the value of sin d = 8/17.
From the trigonometric functions we can conclude that:
Opposite side to c = 15
Adjacent side to c = 8
Hypotenuse = 17
Opposite side to d = 8
Adjacent side to d = 15
The values of cos d is:
cos d = Adjacent side to d / Hypotenuse = 15/17
cos c = Adjacent side to c / Hypotenuse = 8/17
Hence the value of the right triangle cos d = 15/17 and cos c = 8/17.
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Simplify the algebraic expression by combining like terms. Explain your answer or show your work.
2x + 5y + 6x - 5x+3y
Answer: 3x + 8y
Step-by-step explanation:
Combining like terms is simply adding all the terms which are similar.
2x+6x-5x= 3x
5y+3y= 8y
Hope it helps!
Or
Mr. Mosley ordered pizzas for the volunteers at Highland School's fundraiser event. He ordered 12 large pizzas from the Roman Rounds pizzeria. Since this was a bulk order, Roman Rounds reduced the price of each large pizza by $2. The total came to $192. Which equation can you use to find the amount of money, p, Roman Rounds normally charges for a large pizza?
Equation that we can use to find the amount of money, p, Roman Rounds normally charges for a large pizza is 12(p - 2) = 192.
Let's use p to represent the normal price of a large pizza from Roman Rounds. Since Mr. Mosley ordered 12 large pizzas and received a $2 discount on each, he paid a total of $192. We can use this information to set up the following equation:
12(p - 2) = 192
In this equation, 12 represents the number of large pizzas that were ordered, and (p - 2) represents the discounted price of each pizza. The left side of the equation gives us the total amount that Mr. Mosley paid for the pizzas. By setting this expression equal to 192, we can solve for p, the normal price of a large pizza from Roman Rounds.
To solve for p, we first distribute the 12 on the left side of the equation:
12p - 24 = 192
Next, we add 24 to both sides of the equation:
12p = 216
Finally, we divide both sides of the equation by 12:
p = 18
Therefore, the normal price of a large pizza from Roman Rounds is $18.
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Factor completely.
28x³y7z² - 7xy4
Answer: 28xy(7x^2-1)
Step-by-step explanation:
28x^3yx7z^2-7x4xy
196x^3-28xy
4. Fill in the following equivalents:
1 Tbsp. =
1/4 c. =
1 c. =
1 c. =
1/3 c. =
Based on the conversion factors, the equivalent values are as follows:
1 Tbsp. = 1/16 c
1/4 c. = 4 Tbsp
1 c. = 16 Tbsp
1 c. = 1/2 pint
1/3 c. = 80 mL
What are conversion factors?A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an identical value. For instance, 12 inches equals one foot when converting between inches and feet.
The conversion factor for Tbsp to c is 1/4, which means that 1 Tbsp. is equal to 1/4 c.
The conversion factor for c to mL is 236.6, which means that 1 c. is equal to 236.6 mL (rounded to one decimal place).
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