The ow 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 8 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 Store 1 797 553 742 779 556 648 907 214 Store 2 733 498 509 741 632 484 758 140 Difference (Store 1 - Store 2) 64 55 233 38 -76 164 149 74 Send data to calculator V Based on these data, can the owner conclude, at the 0.01 level of significance, that the mean daily sales of the two tores 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.) μ Р (a) State the null hypothesis Ho and the alternative hypothesis H₁. X S ê H:D H₁ :0 (b) Determine the type of test statistic to use. ローロ Type of test statistic: (Choose one) ▼ ☐☐ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 X (d) Find the two critical values at the 0.01 level of significance. (Round to three or more decimal places.) and (e) At the 0.01 level, can the owner conclude that the mean daily sales of the two stores differ? 9 a 00 OSO <口 S 010 020 >O ?
The ow 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 8 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 Store 1 797 553 742 779 556 648 907 214 Store 2 733 498 509 741 632 484 758 140 Difference (Store 1 - Store 2) 64 55 233 38 -76 164 149 74 Send data to calculator V Based on these data, can the owner conclude, at the 0.01 level of significance, that the mean daily sales of the two tores 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.) μ Р (a) State the null hypothesis Ho and the alternative hypothesis H₁. X S ê H:D H₁ :0 (b) Determine the type of test statistic to use. ローロ Type of test statistic: (Choose one) ▼ ☐☐ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 X (d) Find the two critical values at the 0.01 level of significance. (Round to three or more decimal places.) and (e) At the 0.01 level, can the owner conclude that the mean daily sales of the two stores differ? 9 a 00 OSO <口 S 010 020 >O ?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Based on these data, can the owner conclude, at the 0.01 level of significance, that the mean daily sales of the two stores differ
performing a hypothesis test regarding μ (which is u with a letter "d" subscript), the population mean daily sales difference be
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
specified. (If necessary, consult a list of formulas.)
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
I'm
Ho :D
0
H₁ :0
μ
(b) Determine the type of test statistic to use.
Type of test statistic: (Choose one) ▼
0=0
(c) Find the value of the test statistic. (Round to three or more decimal places.)
0#0
X
(d) Find the two critical values at the 0.01 level of significance. (Round to three or more decimal places.)
and
(e) At the 0.01 level, can the owner conclude that the mean daily sales of the two stores differ?
Yes No
S
OSO
0<0
S
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Transcribed Image Text:The ow V
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 8 days,
chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below.
Español
Day
1
2
3
4
5
6
7
8
Store 1
797
553 742
779
556 648
907 214
Store 2
733 498 509
741 632 484
758 140
Difference
64
55
233 38 -76 164 149 74
(Store 1 - Store 2)
Send data to calculator V
Aa
Based on these data, can the owner conclude, at the 0.01 level of significance, that the mean daily sales of the two tores differ? Answer this question by
performing a hypothesis test regarding (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 H₁.
O
Р
S
Ho
H₁ :0
3
(b) Determine the type of test statistic to use.
0=0 O≤O
0²0
Type of test statistic: (Choose one)
0#0
0<0
0>0
(c) Find the value of the test statistic. (Round to three or more decimal places.)
0
X
Ś
?
(d) Find the two critical values at the 0.01 level of significance. (Round to three or more decimal places.)
and
(e) At the 0.01 level, can the owner conclude that the mean daily sales of the two stores differ?
Check
Explanation
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