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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 2 and wishes to see if the improvements have made Store 2 more popular than Store 1. 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 10 days, she records the sales (in dollars) for each store on these days, as shown in Table 1, Difference Store 2 (Store 1 Store 2) Day Store 1 606 861 -255 471 835 -364 827 923 -96 4 927 995 |-68 408 763 -355 986 941 45 879 885 -6 711 1085 -374 574 842 -268 10 845 814 31 Table 1 Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of Store 2 exceeds that of Store 1? Answer this question by performing a hypothesis test regarding u, (which is u with a letter "d" subscript), the population mean daily sales difference between the two 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 specifie in the table. (If necessary, consult a list of formulas.) stores. Assume that this population of differences (Store 1 minus Store 2) is normally distributed. The null hypothesis: H, :0 1. 2. 3. 5. 6, CO www-awn.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNslkr7j8P3jH-IBGBIH_OB3uhhqwxlXoS5SIQhuX6YjFjUgDFbj2rml6z3FmlwsAt1_6SZnmFtj0E0ofJXXzD0m-K3h4BNyNsZVC3f_fzcUlq?1oBw7QYjlbavbSPXtx-YCjsh_7mMmrq#it.. O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Hypothesis test for the difference of population means: Paired.. Emmanuel V T& V Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of Store 2 exceeds that of Store 1? Answer this question by performing a hypothesis test regarding u, (which is p 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.) The null hypothesis: H, :0 合 The alternative hypothesis: H , :0 口=ロ 口2ロ The type of test statistic: (Choose one) ♥ 口ーロ ロ<□ □>□ The value of the test statistic: (Round to at least three decimal places.) The critical value at the 0.10 level of significance: (Round to at least three decimal places.) At the 0.10 level, can the owner conclude that the mean daily sales of Store 2 exceeds that of Store 17 Yes No Explanation Check C 2020 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy I Accessibility 9 11/ O Type here to search 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 2 and wishes to see if the improvements have made Store 2 more popular than Store 1. 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 10 days, she records the sales (in dollars) for each store on these days, as shown in Table 1, Difference Store 2 (Store 1 Store 2) Day Store 1 606 861 -255 471 835 -364 827 923 -96 4 927 995 |-68 408 763 -355 986 941 45 879 885 -6 711 1085 -374 574 842 -268 10 845 814 31 Table 1 Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of Store 2 exceeds that of Store 1? Answer this question by performing a hypothesis test regarding u, (which is u with a letter "d" subscript), the population mean daily sales difference between the two 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 specifie in the table. (If necessary, consult a list of formulas.) stores. Assume that this population of differences (Store 1 minus Store 2) is normally distributed. The null hypothesis: H, :0 1. 2. 3. 5. 6, CO www-awn.aleks.com/alekscgi/x/Isl.exe/1o_u-IgNslkr7j8P3jH-IBGBIH_OB3uhhqwxlXoS5SIQhuX6YjFjUgDFbj2rml6z3FmlwsAt1_6SZnmFtj0E0ofJXXzD0m-K3h4BNyNsZVC3f_fzcUlq?1oBw7QYjlbavbSPXtx-YCjsh_7mMmrq#it.. O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Hypothesis test for the difference of population means: Paired.. Emmanuel V T& V Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of Store 2 exceeds that of Store 1? Answer this question by performing a hypothesis test regarding u, (which is p 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.) The null hypothesis: H, :0 合 The alternative hypothesis: H , :0 口=ロ 口2ロ The type of test statistic: (Choose one) ♥ 口ーロ ロ<□ □>□ The value of the test statistic: (Round to at least three decimal places.) The critical value at the 0.10 level of significance: (Round to at least three decimal places.) At the 0.10 level, can the owner conclude that the mean daily sales of Store 2 exceeds that of Store 17 Yes No Explanation Check C 2020 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy I Accessibility 9 11/ O Type here to search
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Related Book For
Introduction to Operations Research
ISBN: 978-1259162985
10th edition
Authors: Frederick S. Hillier, Gerald J. Lieberman
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