A student wants to determine if there is a difference in the pricing between two stores for health and beauty supplies. She recorded prices from both stores for each of 10 different products. Assuming that the conditions for conducting the test are satisfied, determine if there is a price difference between the two stores. Use the a = 0.05 level of significance. Complete parts (a) through (d) below. A B D F G H J Store 5.94 7.44 3.79 1.78 1.71 2.83 4.72 3.11 2.99 3.79 1 Store 5.94 7.91 3.98 1.74 1.97 2.46 4.75 3.79 2.91 3.65 (a) What type of test should be used? Choose the correct answer below. O A. A hypothesis test regarding two population standard deviations. O B. A hypothesis test regarding the difference of two means using Welch's approximate t. OC. A hypothesis test regarding the difference between two population proportions from independent samples. O D. A hypothesis test regarding the difference of two means using a matched-pairs design.
A student wants to determine if there is a difference in the pricing between two stores for health and beauty supplies. She recorded prices from both stores for each of 10 different products. Assuming that the conditions for conducting the test are satisfied, determine if there is a price difference between the two stores. Use the a = 0.05 level of significance. Complete parts (a) through (d) below. A B D F G H J Store 5.94 7.44 3.79 1.78 1.71 2.83 4.72 3.11 2.99 3.79 1 Store 5.94 7.91 3.98 1.74 1.97 2.46 4.75 3.79 2.91 3.65 (a) What type of test should be used? Choose the correct answer below. O A. A hypothesis test regarding two population standard deviations. O B. A hypothesis test regarding the difference of two means using Welch's approximate t. OC. A hypothesis test regarding the difference between two population proportions from independent samples. O D. A hypothesis test regarding the difference of two means using a matched-pairs design.
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Question
Help to find
- What type of test should be used
- Determine the null and alternative hypotheses. Let
μdbe the mean of the difference in prices between the same items at store A and store B.
- While either technology or the t-distribution table can be used to determine the P-value, for this problem, use technology to calculate the P-value.
![A student wants to determine if there is a difference in the pricing between two stores for health and beauty supplies. She recorded prices from both stores for each of 10 different products. Assuming that the conditions for conducting the test are satisfied, determine if there is a price difference between the two stores. Use the α = 0.05 level of significance. Complete parts (a) through (d) below.
### Pricing Data
| Product | A | B | C | D | E | F | G | H | I | J |
|-----------|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|
| **Store 1** | 5.94| 7.44| 3.79| 1.78| 1.71| 2.83| 4.72| 3.11| 2.99| 3.79|
| **Store 2** | 5.94| 7.91| 3.98| 1.74| 1.97| 2.46| 4.75| 3.79| 2.91| 3.65|
### (a) What type of test should be used? Choose the correct answer below.
- A. A hypothesis test regarding two population standard deviations.
- B. A hypothesis test regarding the difference of two means using Welch's approximate t.
- C. A hypothesis test regarding the difference between two population proportions from independent samples.
- D. A hypothesis test regarding the difference of two means using a matched-pairs design.
**Explanation:**
The data shown lists the prices of the same set of products in two different stores, suggesting these are paired observations. To compare the means of these paired data, the most appropriate statistical test is option D, a hypothesis test regarding the difference of two means using a matched-pairs design. This test is suitable for evaluating if there is a significant difference in pricing between the two stores for the same products.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffac7cb52-3f0a-43fe-873f-ff56a6ef7ce0%2Fe71e1e6d-1e08-45d3-bf78-ddce88897334%2Fn6kijab_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A student wants to determine if there is a difference in the pricing between two stores for health and beauty supplies. She recorded prices from both stores for each of 10 different products. Assuming that the conditions for conducting the test are satisfied, determine if there is a price difference between the two stores. Use the α = 0.05 level of significance. Complete parts (a) through (d) below.
### Pricing Data
| Product | A | B | C | D | E | F | G | H | I | J |
|-----------|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|
| **Store 1** | 5.94| 7.44| 3.79| 1.78| 1.71| 2.83| 4.72| 3.11| 2.99| 3.79|
| **Store 2** | 5.94| 7.91| 3.98| 1.74| 1.97| 2.46| 4.75| 3.79| 2.91| 3.65|
### (a) What type of test should be used? Choose the correct answer below.
- A. A hypothesis test regarding two population standard deviations.
- B. A hypothesis test regarding the difference of two means using Welch's approximate t.
- C. A hypothesis test regarding the difference between two population proportions from independent samples.
- D. A hypothesis test regarding the difference of two means using a matched-pairs design.
**Explanation:**
The data shown lists the prices of the same set of products in two different stores, suggesting these are paired observations. To compare the means of these paired data, the most appropriate statistical test is option D, a hypothesis test regarding the difference of two means using a matched-pairs design. This test is suitable for evaluating if there is a significant difference in pricing between the two stores for the same products.
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