Question

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 Table 1. Day Store 1 Difference Store 2 store 1 - Store 2) 1 893 809 84 2 898 721 574 177 105 3 679 4 318 -118 436 592 5 732 140 6 216 211 5 7 362 224 138 8 945 1054 -109 Table 1 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 ud (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 fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

Answer 1

Review your data: Group One Group Two Group Mean SD SEM N 630.38 291.20 102.96 8 577.63 288.04 101.84 8

Critical values are -1.895 & 1.895

Based on data giren d = ston-n Stone 2 meda T = 630.38-577.63 52.75 40.449 SECT J = n=8 - Null Hypo Hype Ho: Md=0 Hi: Md to Alt This is pained test statistics Test statistics is t= TI Sec d] = 1.3041 V df=7 & x=0.01 -1.895 1.899 -3.4995 and 3.4998 v cnti cal values an Will Don't Reject Sinu at x=0.01 +21349151 t L 1.895 & t-1.895 No daily sales of the two stors differ Answer * dusn

Note: critical values are corrected