V Esp 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 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 5 6 8 10 11 12 Store 1 320 815 687 414 385 688 906 608 751 820 306 928 Store 2 231 844 601 541 427 580 896 58 616 864 257 800 Difference (Store 1 - Store 2) 89 29 86 -127 -42 108 10 25 135 44 49 128 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 J (which is J 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 H S (b) Determine the type of test statistic to use. Type of test statisticit Degrees of freedom: OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places. X and (e) At the 0.10 level, can the owner conclude that the mean daily sales of the two stores differ? Yes No