Suppose two independent random samples of sizes n1 5 and n2 16 that have been taken from two normally distributed populations having variances 21 and 22 give sample standard deviations of s1 5 and s2 9 a Test H0 21 22 versus Ha 21 22 with a 05 What do you conclude b Test H0 21 22 versus Ha 21 22 wi...

Suppose two independent random samples of sizes n1 = 5 and n2 = 16 that have been

Question:

Suppose two independent random samples of sizes n1 = 5 and n2 = 16 that have been taken from two normally distributed populations having variances σ21 and σ22 give sample standard deviations of s1 = 5 and s2 = 9.
a. Test H0: σ21 = σ22 versus Ha: σ21 ≠ σ22 with a = .05. What do you conclude?
b. Test H0: σ21 > σ22 versus Ha: σ21 < σ22 with a = .01. What do you conclude?