Question

சரகானா பாயாக The owner of a chain of mini-markets wants to compare the sales 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 suret 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) 303 557 511 329 26 706 714 900 795 419334 342 236 241 547 105 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 27 Answer this question by performing a hypothesis test regarding (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 Perform a one-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.)

please show how to calculate on ti 84 calculator

Answer 1

Given Nell hypothesis- Ho-eldo VS Alternative hypothesis'- Hi elato type of test statistics ! Degree of freedon.- = t-test -1 = 7 test statistic :- calculation - dedi - 900 - 112.5 sh ecdi-a? - 78234.03 = 11176.29 TS 11176.29 n-1 "175.22 Sd = 105.7180 test statistica- t= 112.5-o J11176. 2goo 112.5 37.3769

(2 ) - 3.0 98 Critical value - tn 12 = 18-1 0.10 total = 47, 0.05 = 1.8946 Conclusion e 3.009> 1.8946 calt taht then reject to As the o. lo leves e Yes, owner store & exceeds conclude that mean daily that of store 2. sales of Rorito