10.61 Let m denote the true average lifetime (in hours) for a certain type of battery...

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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 5 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 z 5 x 2 10 0.1

a. What is a for the test procedure that rejects H0 if z # 21.28?

b. If the test procedure of Part

(a) is used, calculate b when m 5 9.8, and interpret this error probability.

c. Without doing any calculation, explain how b when m 5 9.5 compares to b when m 5 9.8. Then check your assertion by computing b when m 5 9.5.

d. What is the power of the test when m 5 9.8?

when m 5 9.5?

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Introduction To Statistics And Data Analysis

ISBN: 9781305445963

5th Edition

Authors: Roxy Peck, Chris Olsen, Jay L Devore

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