Chapin Manufacturing Company operates 24 hours a day, 5 days a week. The workers rotate shifts each week. Management is interested in whether there is a difference in the number of units produced when the employees work on various shifts. A sample of five workers is selected and their output recorded on each shift. At the 0.05 significance level, can we conclude there is a difference in the mean production rate by shift or by employee?
Units Produced
Employee Day Afternoon Night
Skaff 31 21 34
Lum 33 25 37
Clark 27 28 38
Treece 33 22 28
Morgan 25 24 36
a-1. Which of the following is the null hypothesis for the treatments? multiple choice 1 μDay > μAfternoon > μNight μDay = μAfternoon = μNight μDay < μAfternoon < μNight Not all means equal.
a-2. Which of the following is the alternate hypothesis for the treatments? multiple choice 2 μDay > μAfternoon > μNight μDay = μAfternoon = μNight μDay < μAfternoon < μNight Not all means equal.
b. State the decision rule for treatments. (Round your answer to 2 decimal places.)
c-1. Which of the following is the null hypothesis for the blocks? multiple choice 3 μS = μL = μC = μT = μM μS > μL > μC > μT > μM μS < μL < μC < μT < μM Not all means are equal.
c-2. Which of the following is the alternate hypothesis for the blocks? multiple choice 4 μS = μL = μC = μT = μM μS > μL > μC > μT > μM μS < μL < μC < μT < μM Not all means are equal. Also, state the decision rule for blocks. (Round your answer to 2 decimal places.)
d & e. Compute SST, SSB, SS total, and SSE and complete an ANOVA table. (Round your SS, F value to 2 decimal places, MS 3 decimal places and p-value to 4 decimal places.)
f-1. Give your decision regarding the two sets of hypotheses.
f-2. Interpret the results. Shifts Employee

Answer:

Step-by-step explanation:

ito answer: Combine 130 and x2.C=x230−2x+1530

The acceleration of the rocket is 11.1 m/s^2.

We know that the acceleration can be obtained from the net force that is  acting on the rocket. Given that force is a vector quantity the direction of the forces that are acting is very important in the problem.

We know that;

Net force = Thrust force - Frictional force

If the net force is given by ma then;

2100a = 2.4×10^4 - 650

a = 2.4×10^4 - 650 /2100

a = 11.1 m/s^2

Thus, we can see that the magnitude of the acceleration is 11.1 m/s^2.

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Answer:

21,866,655ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer: 21866655

Step-by-step explanation:

The complete statements are:

As a general rule, an adverbial clause, sometimes referred to as an adverb clause, is a group of words that, together, functions as an adverb.

They are introduced to a statement by words such as although, though, etc

Using the above as a guide, we have the following:

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The student council is selling t-shirts to increase awareness for the local animal shelter. For each t-shirt they sell, they will donate $5.00 to the shelter.

This means that the amount of money the student council will donate to the shelter will be directly proportional to the number of t-shirts they sell. The more t-shirts they sell, the more money they will donate to the shelter.

By selling t-shirts, they are taking a proactive step to help raise awareness and support for the local animal shelter.

Directly proportional: as one amount increases, another amount increases at the same rate. The symbol for "directly proportional" is ∝

(Do not confuse it with the symbol for infinity ∞)

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The equation in slope-intercept form is  y = 5/7x + 3/7

It is important to note that the equation of a line is expressed with the formula;

y = mx + c

Such that the parameters are;

From the information given, we have that;

slope, m = 5/7

Now, let's substitute the points into the formula, we have;

9 = 5/7(12) + c

expand the bracket

9 - 60/7 = c

find the lowest common multiple

c = 63-60/7

c = 3/7

The equation of the line is ; y = 5/7x + 3/7

Hence, the equation is y = 5/7x + 3/7

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The stem-leaf representation of the data is,

0|7 9 9

1|0 1 3 4 4 4 4 5 5 7 7

2|0 5 7

3|5.

The values of the data are divided into a stem and a leaf in a stem-leaf plot.

The initial digit or digits will be put in the stem position, and the final digit will be written in the leaf position.

Let us first rearrange the data in ascending order,

78, 95, 96, 103, 112, 134, 141, 145, 147, 148, 153, 158, 172, 172, 200, 255, 271, 359.

The data is down with the truncated leaf unit of 10, 1|4 represents a number in the 140s.

0|7 9 9

1|0 1 3 4 4 4 4 5 5 7 7

2|0 5 7

3|5.

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Answer:

x is 3.43

Step-by-step explanation:

[tex]{ \tt{6x = 16 \frac{2}{7} }} \\ \\ { \tt{6x = \frac{(16 \times 7) + 2}{7} }} \\ \\ { \tt{6x \times 7 = 144}} \\ \\ { \tt{42x = 144}} \\ \\ { \tt{x = \frac{144}{42} }} \\ \\ { \tt{x = 3.43}}[/tex]

Answer:

If the time is 3:45 how many minutes is it slow or fast

Answer:

D.) f(x)= x-4

Step-by-step explanation:

Attached is an image with all the functions graphed.

Function A: Red

Function B: Blue

Function C: Green

Function D: Purple

From the image, you can see that function D is the only function with an x-intercept of 4.

If you wanted to find the function with an x-intercept of 4, you could plug in 4 for x and see which gives you y=0 as a solution.

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The solution is, 46 quarts (qt) = 46*4*8 oz

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

1 qt = 4 cups,

1 cup = 8 oz

so, we get,

46 quarts (qt) = 46*4 cup

i.e. 46 quarts (qt) = 46*4*8 oz

Hence, The solution is, 46 quarts (qt) = 46*4*8 oz

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Number 10⁻² is 100 times as great as 10⁻⁴.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Numbers are 10⁻² and 10⁻⁴.

Let number 10⁻² is x times great as 10⁻⁴.

Hence, We can formulate;

⇒ 10⁻² = x × 10⁻⁴

⇒ x = 10⁻² / 10⁻⁴

⇒ x = 10⁻²⁺⁴

⇒ x = 10²

⇒ x = 100

Thus, Number 10⁻² is 100 times as great as 10⁻⁴.

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if you are using a simple-moving average and you want your forecast to ignore occasional noise in the data, Only A & C are of the following is true .

What is the meaning of the simple moving average?

The average of a range of prices is determined by the number of periods that fall within the range using simple moving averages.

                             A technical indicator called a simple moving average can help forecast whether a price trend—be it bullish or bearish—will continue or reverse.

What is not necessary for simpler forecasting techniques?

various types and amounts of data are needed for various forecasting methodologies. Less information is necessary for simpler techniques, such as the time series techniques outlined below.

                                       Complex models require a lot of data. It might be expensive to create precise forecasts.

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Answer:

(26, ∞)

Step-by-step explanation:

(I am assuming the question has been copied and pasted properly because the answer is not as simple as computing inequalities. It also involves using triangle properties)

Let the sides of the triangle be
x, y and z where x is the base

Let y be the side which is 9cm shorter than x:
y = x - 9

Let z be the side which is17cm longer than x:
z = x + 17

Perimeter = x + y + z

= x + (x-9) + (x + 17)

= x + x + x -9 + 17

= 3x + 8

We are told that the perimeter should be at least 32 cm

So 3x + 8 ≥ 32

Subtract 8 from both sides of the inequality:
==> 3x + 8 - 8 ≥ 32 - 8

==>  3x ≥ 24

Divide by 3 both sides:
==> 3x/3 ≥ 24/3

==> x ≥ 8

If these were inequalities in x, then this would be the solution and the interval will be [8, ∞ ]

However, we can see that some of the values for x are impossible within this inequality

For example, for x = 8, y = -1
for x = 9 y = 0 and both these are not possible in a triangle

Since these are the sides of a triangle. In any triangle, the sum of any two sides must be greater than the third side

In this particular triangle, the shortest side is y=  x - 9 and the longest side is z = x + 17

So the shortest side + x > longest side

x + y > z

==> x + x -9 > x +17

2x - 9 > x + 17

Moving x to the left side and -9 to the right side

2x - x > 17 + 9

x > 26

So x must be greater than 26 and it can go all the way to infinity. Remember x need not be an integer

The interval is (26, ∞)

The solution is Option C.

The equation of line is y = 2x - 2 , where the slope m = 2

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

2x - y = 2   be equation (1)

On simplifying the equation , we get

Adding y on both sides of the equation , we get

y + 2 = 2x

Subtracting 2 on both sides of the equation , we get

y = 2x - 2

Therefore , the value of A is y = 2x - 2

Hence , the equation of line is y = 2x - 2 and the graph is plotted

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The new current if the voltage is increased to 9 volts is given as follows:

0.18A = 180 mA.

Ohm's First Law states that a circuit's voltage is obtained as the multiplication of the resistance and of the current, as follows:

V = RI.

In which:

When 8 volts are applied to a circuit, 160 milliamperes (mA) = 0.16 A of current flow through the circuit, hence the resistance is obtained as follows:

8 = 0.16R

R = 8/0.16

R = 50 ohms.

Then the new current if the voltage is increased to 9 volts is given as follows:

9 = 50I

I = 9/50

I = 0.18A = 180 mA.

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The shape of the distribution, is symmetric, is the best description of   statistics about scores.

What is standard deviation ?

The standard deviation is the positive square root of the variance of this data set. Variance of a data set is the sum of squared differences of the data values from its mean to the total count of data values.

The given data in the problem is;

Mean = 78%

Standard deviation = 4%

Min = 64

Median = 78

Q1 = 72

Q3 = 84

Max = 99

The condition for the symmetric distribution is found as;

Q2-Q1 = Q3 - Q2

From the data we have;

Q2-Q1 = 6

Q3 - Q2= 6

So that , both are equal

Hence, the condition of symmetry is followed.

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The standard deviation is 19.21 while the mean is 20.785.

a) Because E(Y) = 12, var(Y) = 9.

then, for 2Y+20

E(2Y+20)=2E(Y)+20=24+20=44

Var(2Y+20)=4(9)=36.

The average deviation is six.

b)E(X) = 80 var(X) = 144

so, for 3X

E(3X)=3(80)=240

Var(3X)=9Var(X)=9(144)=1296

The average deviation is 36.

c)0.25x+y

E(0.25x+y)=0.25E(x)+E(y)=0.25(80)+12=32

Var(0.25x+y)=0.0625 var(x)+var(y) +2(0.25)Cov(x,y)

Cov(x,y)=0 since x and y are independent.

Var(0.25x+y)=18

Standard deviation = 4.24 d) x – 5 y

E(x-5y)=E(x)-5E(y)=80-5(12)=20

Var(x-5y)=var(x)+25var(y)-2(5)Cov(x,y)

Because X and Y are unrelated, Cov(x,y) = 0

Var(x-5y)=369

The standard deviation is 19.21, while the mean is 20.785

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The polynomial function for the number of ships in thousands that visited the port in a given year is

The polynomial is found by substituting the values of x and the function that has same value as in the table is the correct function

The function P(x) = 2.3x² + 0.2x + 1.8 gave the correction option, this can be ascertained using

x = 1

P(1) = 2.3 * 1² + 0.2 * 1 + 1.8 = 4.2

x = 2

P(2) = 2.3 * 2² + 0.2 * 2 + 1.8 = 8.2

x = 3

P(3) = 2.3 * 3² + 0.2 * 3 + 1.8 =  14.1

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The nearest square inch gives a total of 61 square inches of fabric used to make all three triangles.

The trigonometric area formula is used to calculate the area of a triangle. The formula is Area = 1/2absin(c), where a and b are the lengths of two sides of the triangle, and c is the angle between the two sides. In this case, Lian is making three congruent isosceles triangles, so all three triangles have the same base and height, and the same angle at the vertex. Therefore, the area of each triangle is the same. The base and height of the triangle can be calculated using the side lengths, and the angle can be calculated using the theorem of cosines. For example, the base of the triangle is 11 cm, the height is 8 cm, and the angle at the vertex is 62 degrees. Therefore, the area of each triangle is 1/2*11*8*sin(62) = 52 square cm. Multiplying this by three gives a total area of 156 square cm. Converting this to square inches gives 156*0.3937 = 61.4 square inches. Rounding to the nearest square inch gives a total of 61 square inches of fabric used to make all three triangles.

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Answer: To solve for x, we need to find the value of x that makes both equations equal to each other. We can do this by setting the two equations equal to each other and solving for x:

3x + 2 = 4x - 5

Subtracting 4x from both sides:

-x - 2 = -5

Adding 2 to both sides:

-x = -3

Finally, dividing both sides by -1:

x = 3

So x = 3 is the solution that makes both y = 3x + 2 and y = 4x - 5 equal to each other.

You can substitute x = 3 into either equation to find the corresponding y value:

y = 3x + 2, when x = 3, y = 3(3) + 2 = 9 + 2 = 11

y = 4x - 5, when x = 3, y = 4(3) - 5 = 12 - 5 = 7

So the solution is (x, y) = (3, 11) or (3, 7).

Step-by-step explanation:

Answer:

P = 5x + 29

Step-by-step explanation:

Let's call the length of one side of the triangle "a".

According to the problem, another side is 14 more than three times the length of the bottom of the triangle, so it can be expressed as 3x + 14.

The last side is 15 more than the bottom of the triangle, so it can be expressed as x + 15.

The perimeter of the triangle is the sum of all three sides, so:

P = x + (3x + 14) + (x + 15)

Simplifying:

P = 5x + 29

The probability of 30-39 age group is 18.83%. The probability of a given age group is the frequency of that group divided by the total frequency.

To find the probability of the age group 30-39, divide the frequency of this group (7845) by the total frequency (9831 + 7845 + 6869 + 6323 + 5410 + 5279 = 41,478). So the probability of 30-39 is 7845/41478 = 0.19.

In probability distributions, probabilities are calculated as the ratio of the number of occurrences of an event to the total number of possible events. To find the probability of an event in a specific age group, we need to calculate the ratio of the frequency of that age group to the total frequency of all age groups.

In this case, the frequency of the age group 30-39 is 7845. The total frequency of all age groups is 9831 + 7845 + 6869 + 6323 + 5410 + 5279 = 41,657.

So, the probability of the age group 30-39 is 7845/41657 = 0.1883 or 18.83%.

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The graphed piecewise function is the one in option C.

y = x² + 2    if x < 1

y = -x + 2  if x ≥ 1

Here we can see the graph of a piecewise function.

The first part seems to be a quadratic function, with an y-intercept of 2, and ends with an open circle at x = 1, then we have something of the form:

quadratic equation for x < 1

And then we have a linear equation that has a closed circle at x = 1, so we have:

linear equation for x ≥ 1

Then the correct option is C.

y = x² + 2    if x < 1

y = -x + 2  if x ≥ 1

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The correct statement is: C. You may use the t procedure, provided your sample size is large, say at least fifty.

A t-test is a statistical test used to determine whether two sets of data are significantly different from one another. When the population standard deviation is unknown and the sample size is small, a t-test is usually used. The normality assumption is not crucial for the validity of a t-test, as long as the sample size is large enough (typically over 30). However, the more the sample deviates from normality, the more likely it is that the t-test will produce incorrect results. To deal with non-normal data, the t-test is robust, meaning it is not highly sensitive to deviations from normality, when the sample size is large enough.

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The rule of functions to solve for C(N(h)) is composition of functions. The cost when h = 8 hours is $3680.

To solve C(N(h)), the rule used is composition of functions, where the output of one function N(h) is used as the input to another function C(x).

First, evaluate C(x) to get its output and then plug that output into N(h) to get the final output.

Given the two functions, the cost in dollars to produce x shovels, C(x) = 12x + 450, and the number of shovels that can be produced in h hours, N(h) = 40h, we can find the cost when h hours of production time is used by finding C(N(h)).

To find C(N(h)), we first find N(h) to get the number of shovels produced in h hours and then plug that into C(x) to find the cost:

C(N(h)) = C(40h) = 12(40h) + 450 = 480h + 450

So, the rule for C(N(h)) is C(N(h)) = 480h + 450.

When h = 8 hours, the cost to produce shovels is given by C(N(8)) = 480(8) + 450 = 3680 dollars.

Therefore, it will cost $3680 to produce shovels in 8 hours.

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The differential equation (y^2 cos(x−y) −x^2 sin(x−y)) dx+(2xycos(x−y) +x^2 sin(x−y)) dy =0 is not exact, because it cannot be written in the form F(x,y)dx + G(x,y)dy = 0 for some functions F and G.

b. The differential equation (2x+12y^2)dx+(12x+2y)dy=0 is exact, because it can be written in the form F(x,y)dx + G(x,y)dy = 0 for F(x,y) = 2x + 12y^2 and G(x,y) = 12x + 2y.

To find a general solution in an implicit form, we can integrate both sides:

∫ (2x + 12y^2) dx + ∫ (12x + 2y)dy = C

x^2 + 6y^2 + 12xy = C

c. The differential equation (12x^2 + 2y) dx+(2x + 12y^2)dy=0 is not exact, because it cannot be written in the form F(x,y)dx + G(x,y)dy = 0 for some functions F and G.

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The only items she can add to the box to make it less than 12 pounds are;  either the package of socks or the book

The list of items and their weight that she has already packed are;

Boots = 5.2 pounds

Jeans = 1.25 pounds

Sweater = 2.05 pounds

Running Shoes = 2.25 pounds

We are told that the package must weigh less than 12 pounds. Thus, let the weight of the additional item be x and as such we have the inequality;

5.2 + 1.25 + 2.05 + 2.25 + x < 12

10.75 + x < 12

Subtract 10.75 from both sides to get;

x < 1.25

The only item that is less than 1.25 pounds that she can carry is either the package of socks or the book

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The interest rate is given as follows:

5%.

The balance of an account after t years, using simple interest, that is, a single compounding per year, is given by the equation presented as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are explained as follows:

The interest accrued is given as follows:

I(t) = Prt.

For each case, the interest accrued is given as follows:

The total interest was of 13,500, hence:

I(3) + I(5) = 13500.

Meaning that the interest rate is obtained as follows:

120,000r + 150,000r = 13500

r = 13500/270000

r = 0.05.

r = 5%.

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The solution is, The value of the 6 in 0.96 is 10 times the value of the 6 in 93.601.

Place value is the basis of our entire number system. This is the system in which the position of a digit in a number determines its value.

The number 42,316 is different from 61,432 because the digits are in different positions.

here, we have,

the 6s in 0.96 , is, the place value of 6 is 0.06 = 6/100

and in 93.601, the place value of 6 is 0.6 = 6/10

so, we get,

6/10 * 10 = 6/100

Hence, The solution is, The value of the 6 in 0.96 is 10 times the value of the 6 in 93.601.

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The percent of the time you would expect the mean of the sample size of 25 to fall between 66 and 74 is 68.27%, to be less than 70 is 50%, and to be greater than 68 is 84.13%.

a. If a population has a mean of 100 and a standard deviation of 20, then the mean of the sampling distribution of a sample size of n=252 will be 100. This is because the sample means of a sampling distribution will always be equal to the population mean.

b. The standard deviation of the sampling distribution of a sample size of n=25 is 4. This is calculated using the formula: σx = σ/√n, where σ is the population standard deviation (20) and n is the sample size (25).

c. The percentage of the time you would expect the mean of the sample size to fall between 66 and 74 is 68.27%. This is calculated using the Z-score formula, which is (x-μ)/σ, where x is the upper limit (74), μ is the population mean (70), and σ is the population standard deviation (10). The Z-score for the upper limit is (74-70)/10=0.4. We then use the standard normal table to find the area between -∞ and 0.4, which is 0.6827.

d. The percentage of the time you would expect the mean of the sample size to be less than 70 is 50%. This is because the Z-score for a mean of 70 is 0, and the area below 0 is 0.5 or 50%.

e. The percentage of the time you would expect the mean of the sample size to be greater than 68 is 84.13%. This is calculated using the Z-score formula, which is (x-μ)/σ, where x is the lower limit (68), μ is the population mean (70), and σ is the population standard deviation (10). The Z-score for the lower limit is (68-70)/10=-0.2. We then use the standard normal table to find the area between -∞ and -0.2, which is 0.8413.

The percent of the time you would expect the mean of the sample size of 25 to fall between 66 and 74 is 68.27%, to be less than 70 is 50%, and to be greater than 68 is 84.13%.

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