Question: A personnel director claims that the mean annual wage is greater in Allegheny County than it is in Erie County. In Allegheny County, a random sample of 19 residents has a mean annual income of $30,800 and a standard deviation of $8600. In Erie County, a random sample of 15 residents has a mean annual income of $25,700 and a standard deviation of $5500. AssuMeannual incomes follow a normal distribution.

A) Construct a 90% confidence interval for the difference between the two population means.

B) Looking at the confidence interval explain why or why not, you support the personnel director’s claim?