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 10 days, she records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 3 4 5 6 7 8 9 10 Store 1 767 362 741 446 222 646 827 980 759 377 Store 2 570 364 720 514 328 505 612 580 775 482 Difference 197 -2 21 -68 -106 141 215 400 -16 -105 (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 the two stores differ? 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 stores. Assume that this population of differences (Store 1 minus Store 2) is normally distributed. Perform a two-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.)
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 10 days, she records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 3 4 5 6 7 8 9 10 Store 1 767 362 741 446 222 646 827 980 759 377 Store 2 570 364 720 514 328 505 612 580 775 482 Difference 197 -2 21 -68 -106 141 215 400 -16 -105 (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 the two stores differ? 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 stores. Assume that this population of differences (Store 1 minus Store 2) is normally distributed. Perform a two-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.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
Related questions
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(a) | State the null hypothesis
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