10.61 Let m denote the true average lifetime (in hours) for a certain type of battery under...
Question:
10.61 Let m denote the true average lifetime (in hours) for a certain type of battery under controlled laboratory conditions. A test of H0: m 10 versus Ha:
m 10 will be based on a sample of size 36. Suppose that s is known to be 0.6, from which sx 5 .1. The appropriate test statistic is then
a. What is a for the test procedure that rejects H0 if z 1.28?
b. If the test procedure of Part
(a) is used, calculate b when m 9.8, and interpret this error probability.
c. Without doing any calculation, explain how b when m 9.5 compares to b when m 9.8. Then check your assertion by computing b when m 9.5.
d. What is the power of the test when m 9.8? when m 9.5?
Step by Step Answer:
Introduction To Statistics And Data Analysis
ISBN: 9780840054906
4th Edition
Authors: Roxy Peck, Chris Olsen, Jay L. Devore