A random sample of six measurements gave x = 19.4 and s2

= 2.208.

a. What assumptions must you make concerning the population in order to test a hypothesis about s2?

b. Suppose the assumptions in part a are satisfied. Test the null hypothesis s2

= 1 against the alternative hypothesis s2 7 1. Use a = .01.

c. Refer to part

b. Suppose the test statistic is x2

= 12.83.

Use Table IV of Appendix B or statistical software to find the p-value of the test.

d. Test the null hypothesis s2 = 1 against the alternative hypothesis s2  1. Use a = .01.