Solution Found!
Suppose that a random sample consisting of 16 observations
Chapter 9, Problem 10(choose chapter or problem)
Suppose that a random sample consisting of 16 observations is available from the normal distribution for which both the mean 1 and the variance 2 1 are unknown, and an independent random sample consisting of 10 observations is available from the normal distribution for which both the mean 2 and the variance 2 2 are also unknown. For each constant r > 0, construct a test of the following hypotheses at the level of significance 0.05: H0: 2 1 2 2 = r, H1: 2 1 2 2
Questions & Answers
QUESTION:
Suppose that a random sample consisting of 16 observations is available from the normal distribution for which both the mean 1 and the variance 2 1 are unknown, and an independent random sample consisting of 10 observations is available from the normal distribution for which both the mean 2 and the variance 2 2 are also unknown. For each constant r > 0, construct a test of the following hypotheses at the level of significance 0.05: H0: 2 1 2 2 = r, H1: 2 1 2 2
ANSWER:Step 1 of 2
Note that, under 
Hence we have