[Steps Shown] The mean length of a work week for the population of workers was reported to be 39.2 hours. Suppose that we would like to take a current sample
Question: The mean length of a work week for the population of workers was reported to be 39.2 hours. Suppose that we would like to take a current sample of workers to see whether the mean length of a work week has changed from the previously reported 39.2 hours.
- State the hypotheses that will help us determine whether a change occurred in the mean length of a work week.
- Suppose a current sample of 112 workers provided a sample mean of 38.5 hours. Use a population standard deviation \(\sigma=4.8\) hours. What is the \(p\) -value?
- At \(\alpha=.05\), can the null hypothesis be rejected? What is your conclusion?
- Repeat the preceding hypothesis test using the critical value approach.
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(Steps Shown) Consider the following hypothesis test: H_0:μ ≥
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