A restaurant chain has two locations in a medium-sized town and believing that it has oversaturated the market for its food is considering
closing one of the restaurants. The manager of the restaurant with a downtown location claims that his restaurant generates more revenue than the sister
restaurant by the freeway. The CEO of this company wishing to test this claim randomly selects 36 monthly revenue totals for each restaurant. The revenue
data from the downtown restaurant have a mean of $360000 and a standard deviation of $50000 while the data from the restaurant by the freeway have a mean of
$340000 and a standard deviation of $40000. Assume there is no reason to believe the population standard deviations are equal and
let ?1 and ?2 denote the mean
monthly revenue of the downtown restaurant and the restaurant by the freeway respectively.
Refer to Exhibit 10.3. Compute the value of the appropriate test statistic to analyze the claim.