Chapter 9.4, Problem 2BSC

F Test if using the sample data in Data Set 1 “Body Data” in Appendix B for a test of the claim that heights of men and heights of women have different variances, we find that s = 7.48296 cm for women and s = 7.10098 cm for men.

a. Find the values of $s_1^2$ and $s_2^2$ and express them with appropriate units of measure.

b. Identify the null and alternative hypotheses.

c. Find the value of the F test statistic and round it to four decimal places.

d. The P-value for this test is 0.5225. What do you conclude about the stated claim?