Harriet's Shoe Emporium operates stores in enclosed shopping malls and outlet malls. There're more than 1,000 stores during the United States and Canada. Harriet, the CEO, wishes to find out whether the number of shoes sold per week at mall stores is more than the number sold at outlet malls. She picks a sample of 22 mall and 25 outlet stores and verifies the number of shoes sold in each sample store last week. The sample information is reported below.
|
Â
|
Sample Mean
|
Sample Standard Deviation
|
Sample Size
|
|
Mall
|
1,078
|
633
|
22
|
|
Outlet
|
908.2
|
369.8
|
25
|
Harriet thinks there is much more variation in the number of shoes sold in mall stores than in the outlet stores. Hence, she isn't willing to assume equal population standard deviations. At the .02 significance level is it reasonable to conclude that the mean number of shoes sold at mall stores is larger than at outlet stores?