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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. 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. Difference Day Store 1 Store 2 (Store 1- Store 2) 995 641 354 247 238 3 224 290 -66 4 997 966 31 561 610 - 49 6. 661 347 314 7 542 322 220 8 252 94 158 9. 442 514 - 72 10 788 778 10 Send data to calculator v Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of the two stores differ? Answer this question by (which is IL with a letter "d" subscript), the population mean daily sales difference between the two stores. Assume

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. Difference Day Store 1 Store 2 (Store 1- Store 2) 995 641 354 247 238 3 224 290 -66 4 997 966 31 561 610 - 49 6. 661 347 314 7 542 322 220 8 252 94 158 9. 442 514 - 72 10 788 778 10 Send data to calculator v Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of the two stores differ? Answer this question by (which is IL with a letter "d" subscript), the population mean daily sales difference between the two stores. Assume

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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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. Difference Day Store 1 Store 2 (Store 1- Store 2) 1 995 641 354 247 238 9. 3 224 290 -66 997 966 31 561 610 - 49 661 347 314 7 542 322 220 8 252 94 158 442 514 - 72 10 788 778 10 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 the two stores differ? Answer this question by performing a hypothesis test regarding (which is µ with a letter "d" subscript), the population mean daily sales difference between the two stores. Assume Save For Later Submit Assign Check O2021 McGraw-Hill Education. All Rights Reserved. Terms of Use I Privacy | Ac
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 10 days, she records the sales (in dollars) for each store on these days, as shown in the table below. Difference Day Store 1 Store 2 (Store 1- Store 2) 1 995 641 354 247 238 9. 3 224 290 -66 997 966 31 561 610 - 49 661 347 314 7 542 322 220 8 252 94 158 442 514 - 72 10 788 778 10 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 the two stores differ? Answer this question by performing a hypothesis test regarding (which is µ with a letter "d" subscript), the population mean daily sales difference between the two stores. Assume Save For Later Submit Assign Check O2021 McGraw-Hill Education. All Rights Reserved. Terms of Use I Privacy | Ac
Based on these data, can the owner conclude, at the 0.05 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.) (a) State the null hypothesis H and the alternative hypothesis H,. H, :0 H, :0 (b) Determine the type of test statistic to use. O=0 OSO Type of test statistic: (Choose one) v (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.) and (e) At the 0.05 level, can the owner conclude that the mean daily sales of the two stores differ? OYes ONo Save For Later Subm Check © 2021 McGraw-Hill Education. All Rights Reserved. Terms of UseI Priv 昌 8 olo
Transcribed Image Text:Based on these data, can the owner conclude, at the 0.05 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.) (a) State the null hypothesis H and the alternative hypothesis H,. H, :0 H, :0 (b) Determine the type of test statistic to use. O=0 OSO Type of test statistic: (Choose one) v (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.) and (e) At the 0.05 level, can the owner conclude that the mean daily sales of the two stores differ? OYes ONo Save For Later Subm Check © 2021 McGraw-Hill Education. All Rights Reserved. Terms of UseI Priv 昌 8 olo
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