Michael Smith would like to open a new charter grade school and is considering Berks County or Chester County as possible locations. The annual household incomes in each county are a factor. Michael collected a random sample of household incomes for both counties. They are as follows (in thousands of dollars) and can also be found in the Excel file charter school.xlsx.

Perform a hypothesis test using α = 0.05 to determine if there is a difference in annual household incomes between these two counties.

Berks County (S) 59.8 35.8 80.6 67.7 45.0 Chester County () 40.7 62.9 86.7 31.4 100.4 94.8 87.7 48.6 38.8 76.5