Probability of Type II error.
A hypothesis test is to be performed to conclude whether the mean waiting time during peak hours for customers in a grocery store has changed from the previous waiting time of 8.3 minutes. Preliminary data analyses indicate that it is reasonable to apply a z-test, with population standard deviation 3.6 minutes. The sample size is 45. The significance level is 0.05. Find the likelihood of a Type II error if in fact the mean waiting time is actually 9.8 minutes.