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 beencomparable 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 thanStore 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 torecord each store's sales on the same 8 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below.Day1345678Store 1751402609832682232864611Store 2630307288477556238535267Difference12195321355126-6329344(Store 1- Store 2)Send data to calculator vBased 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 2? Answer thisquestion by performing a hypothesis test regarding u, (which is u with a letter "d" subscript), the population mean daily sales difference between the twostores. Assume that this population of differences (Store 1 minus Store 2) is normally distributed.Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers asspecified. (If necessary, consult a list of formulas.)(a) State the null hypothesis H, and the alternative hypothesis H,.H, :0H :0(b) Determine the type of test statistic to use.Type of test statistic: (Choose one)OSOO20D=0(c) Find the value of the test statistic. (Round to three or more decimal places.)O 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 beencomparable 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 thanStore 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 torecord each store's sales on the same 8 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below.Day12345678Store 1751402609832682232864611Store 2630307288 477556238535267Difference12195321355126-6329344(Store 1 - Store 2)Send data to calculatorBased 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 2? Answer thisquestion by performing a hypothesis test regarding u, (which is u with a letter "d" subscript), the population mean daily sales difference between the twostores. Assume that this population of differences (Store 1 minus Store 2) is normally distributed.Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers asspecified. (If necessary, consult a list of formulas.)(a) State the null hypothesis H, and the alternative hypothesis H.H, :0(b) Determine the type of test statistic to use.Type of test statistic: (Choose one)D=0OSOO20(c) Find the value of the testto three or more decimal places.)O

There are two independent samples which are Store 1 and Store 2. We have to test whether the mean…

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 sure to record each store's sales on the same 8 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 2 3 4 5 6 7 8 Store 1 751 402 609 832 682 232 864 611 Store 2 630 307 288 477 556 238 535 267 Difference 121 95 321 355 126 -6 329 344 (Store 1 - Store 2) Send data to calculator 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 2? Answer this question by performing a hypothesis test regarding u, (which is µu 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 complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H1. H, :0 H :0 (b) Determine the type of test statistic to use. Type of test statistic: [(Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) OSO O20 |(d) Find the critical value at the 0.10 level of significance. (Round to three or more decimal places.) |(e) At the 0.10 level, can the owner conclude that the mean daily sales of Store 1 exceeds that of Store 2? O Yes ONo

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P