The owner of a chain of mini-markets has two stores, Store 1 and Store 2, in one city. She recently added a breakfast station in Store 1 and wants to determine if the mean daily sales of Store 1 is greater than the mean daily sales of Store 2. After choosing 12 days at random, she records the sales (in dollars) at Store 1 for these days. Then, she records the sales at Store 2 for these same days. The data and the differences (Store 1 minus Store 2) are shown in the table below. Day 1 2 3 4 5 6 7 8. 9. 10 11 12 Store 1 951 547 437 682 547 729 488 776 461 815 859 518 Store 2 989 599 500 680 451 528 452 741 446 758 960. 421 Difference (Store 1 − Store 2) −38 −52 63 2 96 201. 36 35 15 57 −101 97 Send data to calculator Send data to Excel (a)Are the two samples of daily sales amounts independent or paired (dependent) samples? Choose the best answer. independent samples paired (dependent) samples (b)The owner of the chain wants to use the data to determine whether the mean daily sales of Store 1 is greater than the mean daily sales of Store 2. The owner will perform a hypothesis test of the mean of the population of differences (Store 1 minus Store 2). The mean and standard deviation of the sample of differences in the bottom row are 23.8 and 83.4, respectively. Assume that the population of these differences is approximately normally distributed. Choose the appropriate test statistic for the hypothesis test that would be performed. Then calculate that statistic. Carry your intermediate computations to three or more decimal places. Round your answer to three decimal places. (If necessary, consult a list of formulas.) =z =t or It is unclear which test statistic to use.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The owner of a chain of mini-markets has two stores, Store 1 and Store 2, in one city. She recently added a breakfast station in Store 1 and wants to determine if the mean daily sales of Store 1 is greater than the mean daily sales of Store 2. After choosing 12 days at random, she records the sales (in dollars) at Store 1 for these days. Then, she records the sales at Store 2 for these same days. The data and the differences (Store 1 minus Store 2) are shown in the table below. Day 1 2 3 4 5 6 7 8. 9. 10 11 12 Store 1 951 547 437 682 547 729 488 776 461 815 859 518 Store 2 989 599 500 680 451 528 452 741 446 758 960. 421 Difference (Store 1 − Store 2) −38 −52 63 2 96 201. 36 35 15 57 −101 97 Send data to calculator Send data to Excel (a)Are the two samples of daily sales amounts independent or paired (dependent) samples? Choose the best answer. independent samples paired (dependent) samples (b)The owner of the chain wants to use the data to determine whether the mean daily sales of Store 1 is greater than the mean daily sales of Store 2. The owner will perform a hypothesis test of the mean of the population of differences (Store 1 minus Store 2). The mean and standard deviation of the sample of differences in the bottom row are 23.8 and 83.4, respectively. Assume that the population of these differences is approximately normally distributed. Choose the appropriate test statistic for the hypothesis test that would be performed. Then calculate that statistic. Carry your intermediate computations to three or more decimal places. Round your answer to three decimal places. (If necessary, consult a list of formulas.) =z =t or It is unclear which test statistic to use.

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