A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the 2004 season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance? Saturday Sales Data ($) for Ski Hats Saturday East Side Shop West Side Shop 1 548 523 2 493 721 3 609 695 4 567 510 5 432 532 Click here for the Excel Data File (a) Choose the appropriate hypotheses. Assume μd is the difference in average sales between the east side shop and west side shop. a. H0: μd = 0 versus H1: μd ≠ 0. b. H0: μd ≠ 0 versus H1: μd = 0. a b (b) State the decision rule for 10 percent level of significance. (Round your answers to 3 decimal places.) Reject the null hypothesis if tcalc < or tcalc > . (c-1) Find the test statistic tcalc. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.) tcalc (c-2) What is your conclusion? We (Click to select) can cannot conclude that there is a significant difference in sales dollars of hats between the west side and east side stores
A ski company in Vail owns two ski shops, one on the west side and one on the east side of Vail. Ski hat sales data (in dollars) for a random sample of 5 Saturdays during the 2004 season showed the following results. Is there a significant difference in sales dollars of hats between the west side and east side stores at the 10 percent level of significance?
| Saturday Sales Data ($) for Ski Hats | ||
| Saturday | East Side Shop | West Side Shop |
| 1 | 548 | 523 |
| 2 | 493 | 721 |
| 3 | 609 | 695 |
| 4 | 567 | 510 |
| 5 | 432 | 532 |
Click here for the Excel Data File
(a) Choose the appropriate hypotheses. Assume μd is the difference in average sales between the east side shop and west side shop.
a. H0: μd = 0 versus H1: μd ≠ 0.
b. H0: μd ≠ 0 versus H1: μd = 0.
-
a
-
b
(b) State the decision rule for 10 percent level of significance. (Round your answers to 3 decimal places.)
Reject the null hypothesis if tcalc < or tcalc > .
(c-1) Find the test statistic tcalc. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.)
tcalc
(c-2) What is your conclusion?
We (Click to select) can cannot conclude that there is a significant difference in sales dollars of hats between the west side and east side stores
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