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The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same sample of days. After choosing a random sample of days, she records the sales (in dollars) for each store on these days, as shown in Table 1.
Day Store 1 Store 2 Difference
(Store 1 - Store 2)
1 754 806 -52 2 448 647 -199 3 284 169 115 4 645 440 205 5 759 628 131 6 440 340 100 7 214 239 -25 8 752 700 52
Based on these data, can the owner conclude, at the level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding (which is with a letter "d" subscript), the population mean daily sales difference between the two stores. Assume that this population of differences (Store 1 minus Store 2) is normally distributed.
Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.
*****Also Depending on the test statistic, you may need to input the degree of frequency. For example the options are Z, T, Chi Square, and F. You will need the Degree of frequency if the proper test statistic is T or Chi Square, furthermore if it is F you will need to provide the dfn: () and the dfd: (). *****
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