The owner of two submarine sandwich shops located in a particular city would like to know how the mean daily sales of the first shop (located in the downtown area) compares to that of the second shop (located on the southwest side of town). In particular, he would like to determine whether the mean daily sales levels of these two restaurants are essentially equal. He records the sales (in dollars) made at each location for 30 randomly chosen days. These sales levels are given in the file P09_19.xlsx. Find a 95% confidence level for the mean difference between the daily sales of restaurant 1 and restaurant 2. Based on this confidence interval, is it possible to conclude that there is a statistically significant mean difference at the 5% level of significance? Explain why or why not. Can you infer from this confidence interval whether there is a statistically significant mean difference at the 10% level? What about at the 1% level? Again, explain why or why not.
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