Question # Revisit 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, u = 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 > 26.5. a. Find the probability of committing a type I error. b. Evaluate probability of type II error for the alternatives u = 26 and u = c. Find the power of the test for each case in part (b) and conclude which is better in the 26.6. part (b).
Question # Revisit 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, u = 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 > 26.5. a. Find the probability of committing a type I error. b. Evaluate probability of type II error for the alternatives u = 26 and u = c. Find the power of the test for each case in part (b) and conclude which is better in the 26.6. part (b).
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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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