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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question # 2
NOTE
A manufacturer has produced a new product, which he claims has a mean lifetime of
25 with a standard deviation of 3.5. To test the hypothesis that, µ= 25 against the
alternative that p> 25 kilograms, a random sample of 49 such products will be
tested. The critical region is defined to be i> 26.5.
a. Find the probability of committing a type I error.
b. Evaluate probability of type II error for the alternatives pu = 26 and u
c. Find the power of the test for each case in part (b) and conclude which is better in
the part (b).
File typ
Maxim
=26.6."
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Revisit
Question # 2
NOTE
A manufacturer has produced a new product, which he claims has a mean lifetime of
25 with a standard deviation of 3.5. To test the hypothesis that, µ= 25 against the
alternative that p> 25 kilograms, a random sample of 49 such products will be
tested. The critical region is defined to be i> 26.5.
a. Find the probability of committing a type I error.
b. Evaluate probability of type II error for the alternatives pu = 26 and u
c. Find the power of the test for each case in part (b) and conclude which is better in
the part (b).
File typ
Maxim
=26.6.
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