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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
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 8 days, she records the sales (in dollars) for each store on these days, as shown in the table below. Day 2 3 4 5 6 8 Store 1 400 341 459 392 955 957 636 365 Store 2 157 325 291 103 682 694 492 384 Difference 243 16 168 289 (Store 1 - Store 2) 273 263 144 - 19 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 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 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 P Ho : 0 X S P H, : 0 (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) V 0=0 030 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) *0 00 X 5 ? (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? O Yes ONo
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