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 dependin 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 10 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 3 4 5 9 10 Store 1 557 829 733 531 454 634 409 726 769 329 Store 2 413 732 567 484 650 586 269 684 705 371 Difference (Store 1- Store 2) 144 97 166 47 -196 48 140 42 64 -42 Send data to calculator Based on these data, can the owner condlude, at the 0.10 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding a (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. Type of test statistic: (Choose one) OsO D-O (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.) I and (e) At the 0.10 level, can the owner conclude that the mean daily sales of the two stores differ? OYes ONo plo is 2.
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 dependin 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 10 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 3 4 5 9 10 Store 1 557 829 733 531 454 634 409 726 769 329 Store 2 413 732 567 484 650 586 269 684 705 371 Difference (Store 1- Store 2) 144 97 166 47 -196 48 140 42 64 -42 Send data to calculator Based on these data, can the owner condlude, at the 0.10 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding a (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. Type of test statistic: (Choose one) OsO D-O (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.) I and (e) At the 0.10 level, can the owner conclude that the mean daily sales of the two stores differ? OYes ONo plo is 2.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
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 10 days,
chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below.
Day
1
3
4
6.
9
10
Store 1
557
829
733
531
454
634
409
726
769
329
Store 2
413
732
567
484
650
586
269
684
705
371
Difference
144
97
166
47
- 196
48
140
42
64
-42
(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 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
믐
(b) Determine the type of test statistic to use.
Type of test statistic: (Choose one) v
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the two critical values at the 0.10 level of significance. (Round to three or more decimal places.)
I and I
(e) At the 0.10 level, can the owner conclude that the mean daily sales of the two stores differ?
OYes ONo
plo
2.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 2 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman