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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 sample of days. After choosing a random sample of 12 days, she records the sales (in dollars) for each store on these days, as shown in the table below. Day 3 4 5 6 7 8 9 10 11 12 Store 1 593 846 303 702 648 224 919 356 283 504 294 881 Store 2 616 718 147 729 697 151 834 309 97 410 402 951 Difference -23 128 156 -27 -49 73 85 47 186 94 (Store 1 - Store 2) - 108 -70 Send data to calculator Based on these data, can the owner conclude, at the 0.0) level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding My (which is I 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 -1. O P Ho : 0 X S p H :1 (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) O=0 050 020 (c) Find the value of the test statistic. (Round to three or more decimal places.) 0:0 00Store 2 616 718 147 729 697 151 834 309 97 410 402 951 Difference -27 73 85 (Store 1 - Store 2) -23 128 156 -49 47 186 94 -108 -70 Send data to calculator Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding ly (which is I 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 , and the alternative hypothesis . P X S H :1 (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#0 00 0 X 5 ? (d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.) [ and (e) At the 0.05 level, can the owner conclude that the mean daily sales of the two stores differ? OYes ONo