Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal distribution, and the three times are independent of one another. The mean values are 15, 30, and 20 min, respectively, and the standard deviations are 2 V3, and 3 min, respectively. Suppose the manager wants to test the following hypothesis regarding the true average machining time u, Η0 : μ 65

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Question 3
Manufacture of a certain component requires three different machining operations. Machining
time for each operation has a normal distribution, and the three times are independent of one
another. The mean values are 15, 30, and 20 min, respectively, and the standard deviations are 2,
V3, and 3 min, respectively. Suppose the manager wants to test the following hypothesis
regarding the true average machining time u,
H0 : μ 65
На : и 2 65
If the true average machining time is 66 minutes, what is the type II error probability [blank]? The
sample size is n = 16 and a = 0.0027. (Provide your answer with 3 significant decimal digits)
Transcribed Image Text:O is quite small given the current state of US economy Question 3 Manufacture of a certain component requires three different machining operations. Machining time for each operation has a normal distribution, and the three times are independent of one another. The mean values are 15, 30, and 20 min, respectively, and the standard deviations are 2, V3, and 3 min, respectively. Suppose the manager wants to test the following hypothesis regarding the true average machining time u, H0 : μ 65 На : и 2 65 If the true average machining time is 66 minutes, what is the type II error probability [blank]? The sample size is n = 16 and a = 0.0027. (Provide your answer with 3 significant decimal digits)
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