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|
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
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Febcf9de3-24cc-40b0-a023-15a9096e4963%2Fe4c92b96-fe3a-4166-acbc-7858601e1389%2Fj5wwjt_processed.png&w=3840&q=75)
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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