In: Statistics and Probability
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