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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 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 10 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 8 910 Store 1 903 802 218 851 546 730 459 911 686 574 Store 2 863 502 26 582 329 698 225 538 690 553 Difference (Store 1 - Store 2) 40 300 192 269 217 32 234 373 -4 21 Send data to calculator Based on these data, can the owner conclude, at the 0.05 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 μ (which is u 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 Р H₁:0 (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.) (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) 0 (e) At the 0.05 level, can the owner conclude that the mean daily sales of Store 1 exceeds that of Store 2? O Yes O No O*0 a X S 0-0 OSO 00 8 O>O ? 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 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 10 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 8 910 Store 1 903 802 218 851 546 730 459 911 686 574 Store 2 863 502 26 582 329 698 225 538 690 553 Difference (Store 1 - Store 2) 40 300 192 269 217 32 234 373 -4 21 Send data to calculator Based on these data, can the owner conclude, at the 0.05 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 μ (which is u 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 Р H₁:0 (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.) (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) 0 (e) At the 0.05 level, can the owner conclude that the mean daily sales of Store 1 exceeds that of Store 2? O Yes O No O*0 a X S 0-0 OSO 00 8 O>O ? O

MATLAB: An Introduction with Applications
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 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 10 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 8 910 Store 1 903 802 218 851 546 730 459 911 686 574 Store 2 863 502 26 582 329 698 225 538 690 553 Difference (Store 1 - Store 2) 40 300 192 269 217 32 234 373 -4 21 Send data to calculator Based on these data, can the owner conclude, at the 0.05 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 μ (which is u 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 Р H₁:0 (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.) (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) 0 (e) At the 0.05 level, can the owner conclude that the mean daily sales of Store 1 exceeds that of Store 2? O Yes O No O*0 a X S 0-0 OSO 00 8 O>O ? O<O <Q Ś 00
Transcribed Image Text: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 10 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 8 910 Store 1 903 802 218 851 546 730 459 911 686 574 Store 2 863 502 26 582 329 698 225 538 690 553 Difference (Store 1 - Store 2) 40 300 192 269 217 32 234 373 -4 21 Send data to calculator Based on these data, can the owner conclude, at the 0.05 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 μ (which is u 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 Р H₁:0 (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.) (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) 0 (e) At the 0.05 level, can the owner conclude that the mean daily sales of Store 1 exceeds that of Store 2? O Yes O No O*0 a X S 0-0 OSO 00 8 O>O ? O<O <Q Ś 00
(Choose one) t Chi-Square F N
Transcribed Image Text:(Choose one) t Chi-Square F N
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