ny 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 2 and wishes to see if the improvements have made Store 2 more popular than Store 1. 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 Store 1 Store 2 1 526 Difference (Store 1 - Store 2) Send data to calculator v Explanation n a 597 611 -71 - 107 Check 3 4 324 754 94 504 418 750 825 254 225 821 5 -4 716 6 109 430 7 (a) State the null hypothesis Ho and the alternative hypothesis H₁. H :O 8 414 Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of Store 2 exceeds that of Store 1? 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 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.) 716 -176-189 105 μ Ix O S P ê Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Acces B
ny 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 2 and wishes to see if the improvements have made Store 2 more popular than Store 1. 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 Store 1 Store 2 1 526 Difference (Store 1 - Store 2) Send data to calculator v Explanation n a 597 611 -71 - 107 Check 3 4 324 754 94 504 418 750 825 254 225 821 5 -4 716 6 109 430 7 (a) State the null hypothesis Ho and the alternative hypothesis H₁. H :O 8 414 Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of Store 2 exceeds that of Store 1? 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 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.) 716 -176-189 105 μ Ix O S P ê Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Acces B
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
![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 2 and wishes to see if these improvements have made Store 2 more popular than Store 1. 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 | 526 | 504 | 418 | 750 | 825 | 254 | 225 | 821 |
| Store 2 | 597 | 611 | 324 | 754 | 716 | 430 | 414 | 716 |
| Difference | -71 | -107| 94 | -4 | 109 | -176| -189| 105 |
|(Store 1 - Store 2)| | | | | | | | |
Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of Store 2 exceeds that of Store 1? Answer this question by performing a hypothesis test regarding \( \mu_d \) (which is \( \mu \) 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.)
(a) State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).
\[ H_0 : \]
\[ H_1 : \]
[Explanation] [Check]
---
This table presents the sales data for two stores across](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79bed478-1fd0-43ea-baec-0803498e5e8e%2F14f77151-808e-4cd4-a08f-8cf3b9d3cce2%2Ftny432i_processed.jpeg&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. Though the two stores have been comparable in the past, the owner has made several improvements to Store 2 and wishes to see if these improvements have made Store 2 more popular than Store 1. 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 | 526 | 504 | 418 | 750 | 825 | 254 | 225 | 821 |
| Store 2 | 597 | 611 | 324 | 754 | 716 | 430 | 414 | 716 |
| Difference | -71 | -107| 94 | -4 | 109 | -176| -189| 105 |
|(Store 1 - Store 2)| | | | | | | | |
Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of Store 2 exceeds that of Store 1? Answer this question by performing a hypothesis test regarding \( \mu_d \) (which is \( \mu \) 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.)
(a) State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \).
\[ H_0 : \]
\[ H_1 : \]
[Explanation] [Check]
---
This table presents the sales data for two stores across
![**Hypothesis Test for the Difference of Population Means: Paired**
(a) **State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \):**
\( H_0: \) [Blank]
\( H_1: \) [Blank]
(b) **Determine the type of test statistic to use.**
Type of test statistic: [Dropdown Menu]
(c) **Find the value of the test statistic. (Round to three or more decimal places.)**
[Blank]
(d) **Find the critical value at the 0.10 level of significance. (Round to three or more decimal places.)**
[Blank]
(e) **At the 0.10 level, can the owner conclude that the mean daily sales of Store 2 exceeds that of Store 1?**
[ ] Yes
[ ] No
Note: On the right, there is a panel with statistical symbols such as \( \mu \), \( \sigma \), \( \rho \), \(\bar{x}\), \( s \), \( \hat{p} \), and various paired comparison diagrams.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F79bed478-1fd0-43ea-baec-0803498e5e8e%2F14f77151-808e-4cd4-a08f-8cf3b9d3cce2%2Fcita29kd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Hypothesis Test for the Difference of Population Means: Paired**
(a) **State the null hypothesis \( H_0 \) and the alternative hypothesis \( H_1 \):**
\( H_0: \) [Blank]
\( H_1: \) [Blank]
(b) **Determine the type of test statistic to use.**
Type of test statistic: [Dropdown Menu]
(c) **Find the value of the test statistic. (Round to three or more decimal places.)**
[Blank]
(d) **Find the critical value at the 0.10 level of significance. (Round to three or more decimal places.)**
[Blank]
(e) **At the 0.10 level, can the owner conclude that the mean daily sales of Store 2 exceeds that of Store 1?**
[ ] Yes
[ ] No
Note: On the right, there is a panel with statistical symbols such as \( \mu \), \( \sigma \), \( \rho \), \(\bar{x}\), \( s \), \( \hat{p} \), and various paired comparison diagrams.
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Follow-up Question
![(d) Find the **critical value** at the 0.10 level of significance. (Round to three or more decimal places.)
[Input Box]
(e) At the 0.10 level, can the owner conclude that the mean daily sales of Store 2 exceeds that of Store 1?
[ ] Yes
[ ] No
---
Below this section, there are two buttons: "Explanation" and "Check".](https://content.bartleby.com/qna-images/question/79bed478-1fd0-43ea-baec-0803498e5e8e/1244f71a-43c3-4851-82e1-e9edc18192c9/vcwiwa_processed.jpeg)
Transcribed Image Text:(d) Find the **critical value** at the 0.10 level of significance. (Round to three or more decimal places.)
[Input Box]
(e) At the 0.10 level, can the owner conclude that the mean daily sales of Store 2 exceeds that of Store 1?
[ ] Yes
[ ] No
---
Below this section, there are two buttons: "Explanation" and "Check".
Solution
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