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In: Statistics and Probability

The Canadian government would like to test the hypothesis that the standard deviation for the hourly...

The Canadian government would like to test the hypothesis that the standard deviation for the hourly wage for men is equal to the standard deviation for the hourly wage for women. The sample size for men is 11 with sample standard deviation 2.25 and the sample size for women is 9 with standard deviation 3.75. Assume that hourly wages are normally distributed.

a) What are the parameters of interest?

b) Define the null and alternative hypothesis.

c) What is the appropriate test statistic? Calculate its value.

d) Find the degree of freedom for the critical value for the men.

e) Find the degree of freedom for the critical value for the women.

f) Using ? = 0.1. Find the critical value(s) for this test.

g) Interpret your result and draw your conclusion.

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