The owner of a chain of mini-markets has two stores, Store 1 and Store 2, in one city. She recently added a breakfast station in Store 1 and wants to determine if the mean daily sales of Store 1 is greater than the mean daily sales of Store 2. After choosing 11 days at random, she records the sales (in dollars) at Store 1 for these days. Then, she records the sales at Store 2 for these same days. The data and the differences (Store 1 minus Store 2) are shown in the table below. Day Store 1 Store 2 Difference (Store 1-Store 2) Send data to calculator. 1 661 486 OZ= 0 2 01- 676 3 696 652 797 Send data to Excel O independent samples O paired (dependent) samples 4 832 521 743 5 556 175 24 -101 89 -35 438 X 6 684 It is unclear which test statistic to use. 246 S 7 755 502 X 253 8 725 439 3 9 582 874 421 10 (a) Are the two samples of daily sales amounts independent or paired (dependent) samples? Choose the best answer. 311 161 286 563 11 (b) The owner of the chain wants to use the data to determine whether the mean daily sales of Store 1 is greater than th mean daily sales of Store 2. The owner will perform a hypothesis test of the mean of the population of differences (Store 1 minus Store 2). The mean and standard deviation of the sample of differences in the bottom row are 174.2 and 200.3, respectively. Assume that the population of these differences is approximately normally distributed. 504 Choose the appropriate test statistic for the hypothesis test that would be performed. Then calculate that statistic. Carry your intermediate computations to three or more decimal places. Round your answer to three decimal places. (If necessary, consult a list of formulas.) 441 63

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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The owner of a chain of mini-markets has two stores, Store 1 and Store 2, in one city. She recently added a breakfast station in Store 1 and wants to
determine if the mean daily sales of Store 1 is greater than the mean daily sales of Store 2. After choosing 11 days at random, she records the sales (in
dollars) at Store 1 for these days. Then, she records the sales at Store 2 for these same days. The data and the differences (Store 1 minus Store 2) are
shown in the table below.
Day
Store 1
Store 2
Difference
(Store 1 - Store 2)
Send data to calculator V
1
661
486
Z=
Ot=
175
0
2
676
652
24
3
696
797
- 101
O independent samples.
O paired (dependent) samples
Send data to Excel
4
832
743
89
5
X
521
-35
It is unclear which test statistic to use.
6
684
7
556 246 502
755
8
X
725
439
9
Ś
582
(a) Are the two samples of daily sales amounts independent or paired (dependent) samples? Choose the best answer.
421
10
874
(b) The owner of the chain wants to use the data to determine whether the mean daily sales of Store 1 is greater than the mean daily sales of Store
2. The owner will perform a hypothesis test of the mean of the population of differences (Store 1 minus Store 2). The mean and standard
deviation of the sample of differences in the bottom row are 174.2 and 200.3, respectively. Assume that the population of these differences is
approximately normally distributed.
11
Choose the appropriate test statistic for the hypothesis test that would be performed. Then calculate that statistic. Carry your intermediate
computations to three or more decimal places. Round your answer to three decimal places. (If necessary, consult a list of formulas.)
504
438 253 286 161 563 63
311 441
Transcribed Image Text:The owner of a chain of mini-markets has two stores, Store 1 and Store 2, in one city. She recently added a breakfast station in Store 1 and wants to determine if the mean daily sales of Store 1 is greater than the mean daily sales of Store 2. After choosing 11 days at random, she records the sales (in dollars) at Store 1 for these days. Then, she records the sales at Store 2 for these same days. The data and the differences (Store 1 minus Store 2) are shown in the table below. Day Store 1 Store 2 Difference (Store 1 - Store 2) Send data to calculator V 1 661 486 Z= Ot= 175 0 2 676 652 24 3 696 797 - 101 O independent samples. O paired (dependent) samples Send data to Excel 4 832 743 89 5 X 521 -35 It is unclear which test statistic to use. 6 684 7 556 246 502 755 8 X 725 439 9 Ś 582 (a) Are the two samples of daily sales amounts independent or paired (dependent) samples? Choose the best answer. 421 10 874 (b) The owner of the chain wants to use the data to determine whether the mean daily sales of Store 1 is greater than the mean daily sales of Store 2. The owner will perform a hypothesis test of the mean of the population of differences (Store 1 minus Store 2). The mean and standard deviation of the sample of differences in the bottom row are 174.2 and 200.3, respectively. Assume that the population of these differences is approximately normally distributed. 11 Choose the appropriate test statistic for the hypothesis test that would be performed. Then calculate that statistic. Carry your intermediate computations to three or more decimal places. Round your answer to three decimal places. (If necessary, consult a list of formulas.) 504 438 253 286 161 563 63 311 441
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