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 12 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 7 8 9 10 11 12 Store 1 944 462 984 958 457 250 726 992 847 447 587 230 879 Store 2 699 378 928 658 374 44 149 845 917 707 519 222 877 Difference 245 84 56 300 83 101 -119 75 140 68 2 (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 Store 1 exceeds that of Store 2? Answer this question by performing a hypothesis test regarding (which is 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 Ho and the alternative hypothesis H₁. H₁ : (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.) ☐ μ σ P |x 4 S ローロ □□ OO 0 <0 х (d) Find the critical value at the 0.10 level of significance. (Round to three or more decimal places.) (e) At the 0.10 level, can the owner conclude that the mean daily sales of Store 1 exceeds that of Store 2? O 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. 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 12 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 7 8 9 10 11 12 Store 1 944 462 984 958 457 250 726 992 847 447 587 230 879 Store 2 699 378 928 658 374 44 149 845 917 707 519 222 877 Difference 245 84 56 300 83 101 -119 75 140 68 2 (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 Store 1 exceeds that of Store 2? Answer this question by performing a hypothesis test regarding (which is 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 Ho and the alternative hypothesis H₁. H₁ : (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.) ☐ μ σ P |x 4 S ローロ □□ OO 0 <0 х (d) Find the critical value at the 0.10 level of significance. (Round to three or more decimal places.) (e) At the 0.10 level, can the owner conclude that the mean daily sales of Store 1 exceeds that of Store 2? O Yes No
Chapter7: Systems Of Equations And Inequalities
Section7.1: Systems Of Linear Equations: Two Variables
Problem 2SE: If you are performing a break-even analysis for a business and their cost and revenue equations are...
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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 12 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
7 8 9 10 11 12
Store 1
944
462
984
958
457 250 726
992 847
447
587 230 879
Store 2
699
378
928
658 374
44
149 845
917 707 519 222 877
Difference
245
84
56
300 83
101
-119
75 140
68
2
(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 Store 1 exceeds that of Store 2? Answer this
question by performing a hypothesis test regarding (which is 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 Ho and the alternative hypothesis H₁.
H₁ :
(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.)
☐
μ
σ
P
|x
4
S
ローロ □□
OO
0 <0
х
(d) Find the critical value at the 0.10 level of significance. (Round to three or more decimal places.)
(e) At the 0.10 level, can the owner conclude that the mean daily sales of Store 1 exceeds that of
Store 2?
O Yes No
<Q
OZO
□□
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