**Statistical Analysis Exercise**1. **Find the value of the test statistic.** - (Round your answer to three decimal places.) - [Text Box]2. **Find the p-value.** - (Round your answer to four decimal places.) - *p-value* = [Text Box]3. **What is your conclusion?** - ○ Do not reject $ H_0 $. We cannot conclude that the relationship between price (\$) and overall score is significant. - ○ Reject $ H_0 $. We cannot conclude that the relationship between price (\$) and overall score is significant. - ● Reject $ H_0 $. We conclude that the relationship between price (\$) and overall score is significant. - ○ Do not reject $ H_0 $. We conclude that the relationship between price (\$) and overall score is significant.In the exercise above, the correct answer is highlighted in green, indicating that the null hypothesis $ H_0 $ is rejected, and we conclude that the relationship between price and overall score is significant. **Stereo Headphones Price and Performance Data**Consider the following data on price ($) and the overall score for six stereo headphones tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest).| Brand | Price ($) | Score ||-------|-----------|-------|| A | 180 | 76 || B | 150 | 69 || C | 95 | 59 || D | 70 | 56 || E | 70 | 40 || F | 35 | 24 |**Analysis:**- **Brand A**: Highest price and score, suggesting premium quality.- **Brand B**: Slightly cheaper than A, with a moderately high score.- **Brand C and D**: Mid-range in price, with modest scores.- **Brand E**: Similar price to D but with a lower score.- **Brand F**: Lowest price and score, indicating lower performance.This data offers a comparison of price versus performance, useful for consumers considering which headphones provide the best value relative to their cost.

Given: n = 6 Formula Used: Correlation coefficient r = n∑XY-∑X∑Yn∑X2-∑X2n∑Y2-∑Y2 Test-statistic t =…

Answered: Consider the following data on price…

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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Question

**Statistical Analysis Exercise**

1. **Find the value of the test statistic.**
- (Round your answer to three decimal places.)
- [Text Box]

2. **Find the p-value.**
- (Round your answer to four decimal places.)
- *p-value* = [Text Box]

3. **What is your conclusion?**

- ○ Do not reject $ H_0 $. We cannot conclude that the relationship between price (\$) and overall score is significant.
- ○ Reject $ H_0 $. We cannot conclude that the relationship between price (\$) and overall score is significant.
- ● Reject $ H_0 $. We conclude that the relationship between price (\$) and overall score is significant.
- ○ Do not reject $ H_0 $. We conclude that the relationship between price (\$) and overall score is significant.

In the exercise above, the correct answer is highlighted in green, indicating that the null hypothesis $ H_0 $ is rejected, and we conclude that the relationship between price and overall score is significant.

Transcribed Image Text:**Stereo Headphones Price and Performance Data** Consider the following data on price ($) and the overall score for six stereo headphones tested by a certain magazine. The overall score is based on sound quality and effectiveness of ambient noise reduction. Scores range from 0 (lowest) to 100 (highest). | Brand | Price ($) | Score | |-------|-----------|-------| | A | 180 | 76 | | B | 150 | 69 | | C | 95 | 59 | | D | 70 | 56 | | E | 70 | 40 | | F | 35 | 24 | **Analysis:** - **Brand A**: Highest price and score, suggesting premium quality. - **Brand B**: Slightly cheaper than A, with a moderately high score. - **Brand C and D**: Mid-range in price, with modest scores. - **Brand E**: Similar price to D but with a lower score. - **Brand F**: Lowest price and score, indicating lower performance. This data offers a comparison of price versus performance, useful for consumers considering which headphones provide the best value relative to their cost.

Expert Solution

Step 1

Given:

n = 6

Formula Used:

$Correlation coefficient r = \frac{n \sum_{}^{} XY - \sum_{}^{} X \sum_{}^{} Y}{\sqrt{[n \sum_{}^{} X^{2} - {(\sum_{}^{} X)}^{2}] [n \sum_{}^{} Y^{2} - {(\sum_{}^{} Y)}^{2}]}}$