help ### Hypothesis Testing for Mean Purchase Potential RatingA market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new, expensive television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating more potential to purchase the product. You want to know if the commercial increased the mean purchase potential rating. You will test the claim at a significance level of $ \alpha = 0.02 $.To do so, you find a sample of 35 people, you find the mean "after-before" rating to be $ \bar{d} = 0.5 $ with a standard deviation of the differences of $ s_d = 1.1 $.#### Questions:a. **What is the test statistic for this sample?**- **Answer format:** $ \text{test statistic} = \boxed{} $- **Instructions:** Round to 4 decimal places.b. **What is the p-value for this sample?**- **Answer format:** $ \text{p-value} = \boxed{} $- **Instructions:** Round to 4 decimal places.c. **The p-value is:** - **Checkbox options:** - $ \circ $ less than (or equal to) $ \alpha $ - $ \circ $ greater than $ \alpha $d. **This test statistic leads to a decision to:**- **Checkbox options:** - $ \circ $ reject the null - $ \circ $ accept the null - $ \circ $ fail to reject the nulle. **As such, the final conclusion is that...**- **Open field for conclusion**

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Paired t test: Choose the paired t test (dependent t test) if you two measurements on the same…

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A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new, expensive television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating more potential to purchase the product. You want to know if the commercial increased the mean purchase potential rating. You will test the claim at a significance level of a = 0.02. To do so, you find a sample of 35 people, you find the mean "after-before" rating to be d = 0.5 with a standard deviation of the differences of sa = 1.1. a. What is the test statistic for this sample? test statistic = Round to 4 decimal places. b. What is the p-value for this sample? Round to 4 decimal places. p-value = c. The p-value is... O less than (or equal to) a O greater than a d. This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null e. As such, the final conclusion is that...

A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new, expensive television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating more potential to purchase the product. You want to know if the commercial increased the mean purchase potential rating. You will test the claim at a significance level of a = 0.02. To do so, you find a sample of 35 people, you find the mean "after-before" rating to be d = 0.5 with a standard deviation of the differences of sa = 1.1. a. What is the test statistic for this sample? test statistic = Round to 4 decimal places. b. What is the p-value for this sample? Round to 4 decimal places. p-value = c. The p-value is... O less than (or equal to) a O greater than a d. This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null e. As such, the final conclusion is that...

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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help

### Hypothesis Testing for Mean Purchase Potential Rating

A market research firm used a sample of individuals to rate the purchase potential of a particular product before and after the individuals saw a new, expensive television commercial about the product. The purchase potential ratings were based on a 0 to 10 scale, with higher values indicating more potential to purchase the product. You want to know if the commercial increased the mean purchase potential rating. You will test the claim at a significance level of $ \alpha = 0.02 $.

To do so, you find a sample of 35 people, you find the mean "after-before" rating to be $ \bar{d} = 0.5 $ with a standard deviation of the differences of $ s_d = 1.1 $.

#### Questions:

a. **What is the test statistic for this sample?**
- **Answer format:** $ \text{test statistic} = \boxed{} $
- **Instructions:** Round to 4 decimal places.

b. **What is the p-value for this sample?**
- **Answer format:** $ \text{p-value} = \boxed{} $
- **Instructions:** Round to 4 decimal places.

c. **The p-value is:**
- **Checkbox options:**
- $ \circ $ less than (or equal to) $ \alpha $
- $ \circ $ greater than $ \alpha $

d. **This test statistic leads to a decision to:**
- **Checkbox options:**
- $ \circ $ reject the null
- $ \circ $ accept the null
- $ \circ $ fail to reject the null

e. **As such, the final conclusion is that...**
- **Open field for conclusion**

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