Find the power of the test if the true mean is 204 millimeters for a sample of size 20 at 5% level of significance.

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Answer 1

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 9, Problem 148SE

a.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 20 at 5% level of significance.

b.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 50 at 5% level of significance.

c.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 100 at 5% level of significance.

d.

To determine

Explain whether the power of the test increase or decrease as the sample size increases.

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A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected. a) Calculate the percentage of components that get rejected. b) In a manufacturing run of 1000 units, how many are expected to be rejected? c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.

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Answer 2

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 9, Problem 148SE

a.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 20 at 5% level of significance.

b.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 50 at 5% level of significance.

c.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 100 at 5% level of significance.

d.

To determine

Explain whether the power of the test increase or decrease as the sample size increases.

Expert Solution & Answer

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Answer 3

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 9, Problem 148SE

a.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 20 at 5% level of significance.

b.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 50 at 5% level of significance.

c.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 100 at 5% level of significance.

d.

To determine

Explain whether the power of the test increase or decrease as the sample size increases.

Expert Solution & Answer

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Check out a sample textbook solution

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Answer 4

Question

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 9, Problem 148SE

a.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 20 at 5% level of significance.

b.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 50 at 5% level of significance.

c.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 100 at 5% level of significance.

d.

To determine

Explain whether the power of the test increase or decrease as the sample size increases.

Expert Solution & Answer

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Answer 5

Chapter 9, Problem 148SE

a.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 20 at 5% level of significance.

b.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 50 at 5% level of significance.

c.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 100 at 5% level of significance.

d.

To determine

Explain whether the power of the test increase or decrease as the sample size increases.

Answer 6

Chapter 9, Problem 148SE

a.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 20 at 5% level of significance.

Answer 7

Chapter 9, Problem 148SE

a.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 20 at 5% level of significance.

Answer 8

b.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 50 at 5% level of significance.

Answer 9

b.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 50 at 5% level of significance.

Answer 10

c.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 100 at 5% level of significance.

Answer 11

c.

To determine

Find the power of the test if the true mean is 204 millimeters for a sample of size 100 at 5% level of significance.

Answer 12

d.

To determine

Explain whether the power of the test increase or decrease as the sample size increases.

Answer 13

d.

To determine

Explain whether the power of the test increase or decrease as the sample size increases.

Answer 14

Expert Solution & Answer

Answer 15

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Answer 16

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Answer 17

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Find the power of the test if the true mean is 204 millimeters for a sample of size 20 at 5% level of significance.

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Find the power of the test if the true mean is 204 millimeters for a sample of size 20 at 5% level of significance.

Find the power of the test if the true mean is 204 millimeters for a sample of size 50 at 5% level of significance.

Find the power of the test if the true mean is 204 millimeters for a sample of size 100 at 5% level of significance.

Explain whether the power of the test increase or decrease as the sample size increases.

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Chapter 9 Solutions