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 Espanol 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 12 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. Day 2 3 4 5 9 10 11 12 Store 1 786 878 827 645 708 500 699 970 618 271 572 324 Store 2 646 802 712 579 527 367 679 762 635 215 698 530 Difference (Store 1 - Store 2) 140 76 115 66 181 133 20 208 17 56 -126 -206 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 H (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 H, and the alternative hypothesis H. O H : D X 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.) * 00 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? Yes No