Faulty or not? You are in charge of shipping computersto customers. You learn that a faulty disk drive was putinto some of the machines. There’s a simple test you canperform, but it’s not perfect. All but 4% of the time, agood disk drive passes the test, but unfortunately, 35% ofthe bad disk drives pass the test, too. You have to decideon the basis of one test whether the disk drive is good orbad. Make this a hypothesis test.a) What are the null and alternative hypotheses?b) Given that a computer fails the test, what would youdecide? What if it passes the test?c) How large is a for this test? d) What is the power of this test? (Hint: How many pos-sibilities are in the alternative hypothesis?)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Faulty or not? You are in charge of shipping computers
to customers. You learn that a faulty disk drive was put
into some of the machines. There’s a simple test you can
perform, but it’s not perfect. All but 4% of the time, a
good disk drive passes the test, but unfortunately, 35% of
the bad disk drives pass the test, too. You have to decide
on the basis of one test whether the disk drive is good or
bad. Make this a hypothesis test.
a) What are the null and alternative hypotheses?
b) Given that a computer fails the test, what would you
decide? What if it passes the test?
c) How large is a for this test?
d) What is the power of this test? (Hint: How many pos-
sibilities are in the alternative hypothesis?)
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