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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. 1 2 3 4 5 6 7 89 10 Day 642 320 937 399 946 544 562 Store 1 257 758 538 Store 2 601 68 841 323 834 603 486 92 480 268 Difference (Store 1 - Store 2) 41 252 76 112 - 59 76 165 278 270 96 Send data to calc.. 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 performing a hypothesis test regarding (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. Ho : 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.) D-O OSO Find the two critical values at the 0.05 level of significance. (Round to three or more |(d) decimal places.) I and O (e) At the 0.05 level, can the owner conclude that the mean daily sales of the two stores differ? Yes No ま|

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. 1 2 3 4 5 6 7 89 10 Day 642 320 937 399 946 544 562 Store 1 257 758 538 Store 2 601 68 841 323 834 603 486 92 480 268 Difference (Store 1 - Store 2) 41 252 76 112 - 59 76 165 278 270 96 Send data to calc.. 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 performing a hypothesis test regarding (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. Ho : 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.) D-O OSO Find the two critical values at the 0.05 level of significance. (Round to three or more |(d) decimal places.) I and O (e) At the 0.05 level, can the owner conclude that the mean daily sales of the two stores differ? Yes No ま|

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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. Day 1 2 3 7 8 10 Store 1 642 320 937 399 946 544 562 257 758 538 Store 2 601 68 841 323 834 603 486 92 480 268 Difference - 59 41 (Store 1 - Store 2) 252 96 76 112 76 165 278 270 Send data to calc... 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 performing a hypothesis test regarding µ, (which is µ 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,. p Ho : 0 H, : 0 (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) OSO O20 (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O Find the two critical values at the 0.05 level of significance. (Round to three or more (d) decimal places.) I and I (e) At the 0.05 level, can the owner conclude that the mean daily sales of the two stores differ? Yes No
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. Day 1 2 3 7 8 10 Store 1 642 320 937 399 946 544 562 257 758 538 Store 2 601 68 841 323 834 603 486 92 480 268 Difference - 59 41 (Store 1 - Store 2) 252 96 76 112 76 165 278 270 Send data to calc... 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 performing a hypothesis test regarding µ, (which is µ 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,. p Ho : 0 H, : 0 (b) Determine the type of test statistic to use. Type of test statistic: (Choose one) OSO O20 (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O Find the two critical values at the 0.05 level of significance. (Round to three or more (d) decimal places.) I and I (e) At the 0.05 level, can the owner conclude that the mean daily sales of the two stores differ? Yes No
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