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v Espanol The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2.

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v Espanol The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Though the two stores have been comparable in the past, the owner has made several improvements to Store 2 and wishes to see if the improvements have made Store 2 more popular than Store 1. 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 10 days, she records the sales (in dollars) for each store on these days, as shown in the table below. D Day 2 10 Store 1 202 511 759 966 748 468 368 278 252 371 Store 2 187 695 688 1083 741 358 604 550 379 297 Difference 15 184 71 -117 1 10 -236 -272 -127 74 (Store 1 - Store 2) Send data to calc... Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of Store 2 exceeds that of Store 1? Answer this question by performing a hypothesis test regarding u (which is u 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 one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H1. Ho : D LY S H :0 (b) Determine the type of test statistic to use. Type of test statistic: 0-0 050 020 (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) x0 00 X 2 (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) (e) At the 0.05 level, can the owner conclude that the mean daily sales of Store 2 exceeds that of Store 1? Yes No

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