Question: A medical informatics manager reviews sick day use in her department. She identifies that employees in her small department used the following amount of sick time in the past year:
The statistician indicated she should use a nonparametric test to determine if there is a difference in sick time use between the men and women in her department. Use the 5-step approach to hypothesis testing and alpha=0.05 to determine if there is a difference.
Question: A recent study indicated that women took an average of 8.6 weeks of unpaid leave from their jobs after the birth of a child. Assume that this distribution follows the normal probability distribution with a standard deviation of 2.0 weeks. We select a sample of 35 women who recently returned to work after the birth of a child. What is the likelihood that the mean of this sample is at least 8.8 weeks?
Question: The manager of the Tee Shirt Emporium reports that the mean number of shirts sold per week is 1,210 with a standard deviation of 325. The distribution of sales follows the normal distribution. What is the likelihood of selecting a sample of 25 weeks and finding the sample mean to be 1,100 or less?