Question: The data given below show the number of students attending cyber charter schools in Allegheny County, Pittsburgh, Pennsylvania and the number of students attending cyber schools in counties surrounding Allegheny County. At \(\alpha =0.01\), is there enough evidence to support the claim that the average number of students in school districts in Allegheny County who attend cyber schools is greater than those who attend cyber schools in school districts outside Allegheny County? Assume normal distributions and equal population variances. (Decide whether the z-test or the t-test applies using the flowchart on Page 443 in our textbook). You will have to calculate the sample mean and sample standard deviation for each group using formulas from Chapter 2.