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 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 2 4 7 10 Store 1 597 717 513 900 278 550 222 432 455 699 Store 2 703 703 274 561 290 469 159 485 395 389 Difference -106 14 239 339 -12 81 63 - 53 60 310 (Store 1 - Store 2) Send data to calculator Based on these data, can the owner conclude, at the 0.01 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 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 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.) 3.
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 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 2 4 7 10 Store 1 597 717 513 900 278 550 222 432 455 699 Store 2 703 703 274 561 290 469 159 485 395 389 Difference -106 14 239 339 -12 81 63 - 53 60 310 (Store 1 - Store 2) Send data to calculator Based on these data, can the owner conclude, at the 0.01 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 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 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.) 3.
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:(a) State the null hypothesis H and the alternative hypothesis H,.
Hy :미
H, :0
(b) Determine the type of test statistic to use.
Type of test statistic: (Choose one) V
D=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the critical value at the 0.01 level of significance. (Round to three or more decimal places.)
(e) At the 0.01 level, can the owner conclude that the mean daily sales of Store 1 exceeds that of
Store 2?
O Yes O 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. 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 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
7
10
Store 1
597
717
513
900
278
550
222
432
455
699
Store 2
703
703
274
561
290
469
159
485
395
389
Difference
– 106
14
239
339
-12
81
63
- 53
60
310
(Store 1 - Store 2)
Send data to calculator
Based on these data, can the owner conclude, at the 0.01 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 µ, (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 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.)
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