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

Question

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 1 and wishes to see if the improvements have made Store 1 more popular than 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 10 days chosen at random She records the sales in dollars for each store on these days as shown in the table below Day Store 1 Store 2 Difference Store 1 Store 2 Send data to calculator 1 343 2 74 778 3 542 4 589 417 756 480 365 5 972 981 22 62 224 9 6 7 8 927 764 716 580 902 764 630 450 564 625 9 163 134 266 16 277 Based on these data can the owner conclude at the 0 10 level of significance that the mean daily sales of Store 1 exceeds that of Store 2 Answer this question by performing a hypothesis test regarding H 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 a State the null hypothesis Ho and the alternative hypothesis H H H b Determine the type of test statistic to use Type of test statistic Choose one c Find the value of the test statistic Round to three or more decimal places 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 d Find the critical value at the 0 10 level of significance Round to three or more decimal places e At the 0 10 level can the owner conclude that the mean daily sales of Store 1 exceeds that of Store OYes No H Ix X 0 0 0 0 X O S OSO 0 0 P P S 010 030 O

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