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Hypothesis test for a population mean

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Please help with the following problem.

You have a sample size of 120 and the population standard deviation of 20. You are testing the null hypothesis of whether the population mean is 120 or not.

A. What are the critical values for rejection when Type I error is 5%?
B. If actual mean is 121, find the Type II error
C. Draw the Type I and II errors

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This is an example of a Hypothesis test for a population mean. The solution also illustrates Type I and Type II errors.

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Hypothesis test, critical values for rejection
You have a sample size of 120 and the population standard deviation of 20. You are testing the null hypothesis of whether the population mean is 120 or not.

A. What are the critical values for rejection when Type I error is 5%?

This is a large sample hypothesis test regarding a population mean. The test statistic such a hypothesis test has a standard normal, or Z distribution (a normal distribution with mean equal to 0 and standard deviation equal to 1). The ...

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