question archive The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2
The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2
Subject:StatisticsPrice: Bought3
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 Table 1. Difference Day| Store 1 Store 2 (Store 1 - Store 2) 1 840 625 215 595 w 483 .12 462 360 102 528 664 136 288 287 6 999 833 166 7 385 311 8 994 804 190 9 316 337 -21 10 866 837 29 11 917 689 228 12 685 561 124 Table 1 Based on these data, can the owner conclude, at the 0.01 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 H 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 The null hypothesis: Ho : O p X S D The alternative hypothesis: H , :0 The type of test statistic: (Choose one) e value of the test statistic: Chi square 0*0 0<0 0>0 (Round to at least three decimal places.) X ? The two critical values at the 0.01 level of significance: [ and (Round to at least three decimal places.) At the 0.01 level, can the owner conclude that the mean daily sales of the two stores differ? O Yes O No
