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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

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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 : days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. Day 2 5 6 8 Store 1 382 237 517 442 836 424 955 942 Store 2 171 188 209 279 462 381 838 863 Difference 211 40 308 163 374 43 117 79 (Store 1 - Store 2) Send data to calculator Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding u. (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 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 . O H : 0 S H :0 (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) V 0=0 OSO 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) 0*0 00 0 X (d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.) [ and (e) At the 0.10 level, can the owner conclude that the mean daily sales of the two stores differ? OYes ONo

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