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In: Statistics and Probability

For the following, Calculate the Probability and Type II errors. Assume an level of significance of...

For the following, Calculate the Probability and Type II errors. Assume an level of significance of α= 0.05 .

•Q1: For testing Ha: u < 62, true population standard deviation= 15, sample size = 64, and we miraculously know that our true population mean is really 60. What is the type II error? Power? Also is our Power up to par (at least 0.8).

•Q2: For testing Ha: u >65, true population standard deviation = 12, sample size = 36, and we miraculously know that our true population mean = 66. What is the type II error? Power? Also is our Power up to par (at least 0.8).

•Q3: For testing Ha: u ≠ 65, true population standard deviation = 12, sample size = 64, and we miraculously know that our true population mean= 65. What is our power? Type II error? Is our power up to par (at least 0.8).

Helpful Tip: You can also use the youtube videos, labeled mentioned on the previous slide, for help.

Please help me with the Q1,2,3

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