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Answer questions 19 – 20 based on the following. The standard deviation of the ages of...

Answer questions 19 – 20 based on the following. The standard deviation of the ages of a sample of 16 executives from northern states was 8.2 years, while the standard deviation of the ages of a sample of 25 executives from southern states was 12.8 years. At α = 0.10, test to see if there is any difference in the standard deviations of the ages of all northern and southern executives.

19. Compute the p-value associated with this test. When computing two-tailed p-values, remember to use the 2p approach!

a. 0.0498

b. 0.0772

c. 0.1873

d. 0.3746

20. What is the probability of rejecting the null hypothesis when it is true?

a. 1%

b. 5%

c. 10%

d. None of these responses

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

19. Compute the p-value associated with this test. When computing two-tailed p-values, remember to use the 2p approach!

The provided sample variances are 67.24 and 163.84 and the sample sizes are given by n1​=16 and n2​=25.

Test Statistics

The F-statistic is computed as follows:

P value = 0.0772

20. What is the probability of rejecting the null hypothesis when it is true?

P[ rejecting the null hypothesis when it is true ] = the significance level

P[ rejecting the null hypothesis when it is true ] = 0.010

P[ rejecting the null hypothesis when it is true ] = 10%

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