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(d) Find the two critical values at the  0.10  level of significance. (Round to three or more decimal places.) and (e) At the  0.10  level, can the owner conclude that the mean daily sales of the two stores differ?   Yes    No

(d) Find the two critical values at the  0.10  level of significance. (Round to three or more decimal places.) and (e) At the  0.10  level, can the owner conclude that the mean daily sales of the two stores differ?   Yes    No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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
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(d) Find the two critical values at the 
0.10
 level of significance. (Round to three or more decimal places.)
and
(e) At the 
0.10
 level, can the owner conclude that the mean daily sales of the two stores differ?
 
Yes 
 
No
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 8 days, she records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 3 4 6 7 Store 1 667 809 879 390 275 479 850 892 Store 2 579 566 579 214 187 163 755 455 Difference 88 243 300 176 88 316 95 437 (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.)
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. 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 8 days, she records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 3 4 6 7 Store 1 667 809 879 390 275 479 850 892 Store 2 579 566 579 214 187 163 755 455 Difference 88 243 300 176 88 316 95 437 (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.)
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