Question: Although starting salaries are in a fairly narrow band, D&Y wonders whether they have anything to do with retention.

1. Find the 95% confidence interval for the mean starting salary of all employees who stay at least 3 years with D&Y.

b. Do the same for those who leave before 3 years.

c. . Management believes that, on average, those employees that left before 3 years might be getting paid less than those that stayed beyond 3 years. Although there might be a point estimate difference, is there enough evidence in this data to support this theory? Perform a hypothesis test at the 10% level of significance.

d. Among all employees whose starting salary is below the median ($37,750), find a 95% confidence interval for the proportion who stay with D&Y for at least 3 years.

e. Find a 95% confidence interval for the proportion who stay with D&Y for at least 3 years but this time with starting salaries above the median.

f. Find a 95% confidence interval for the difference between these proportions. From this interval, can we conclude that there is a significant difference in the proportions at

the 5% level of significance?

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