A magazine tested paints. The table below shows the overall quality score and cost in dollars per gallon. Use the rank correlation coefficient to test for a correlation between the two variables. Use a significance level of alpha equals 0.05. Based on these​ results, do you get better quality paint by paying​ more?   a. Calculate the test statistic. r s equals  (Round to three decimal places as​ needed.)     b. Find the critical values. r s equals plus or minus ​(Round to three decimal places as​ needed.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter8: Linear Functions
Section: Chapter Questions
Problem 6CR
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A magazine tested paints. The table below shows the overall quality score and cost in dollars per gallon. Use the rank correlation coefficient to test for a correlation between the two variables. Use a significance level of alpha equals 0.05. Based on these​ results, do you get better quality paint by paying​ more?

 

a. Calculate the test statistic.
r s equals 
(Round to three decimal places as​ needed.)
 
 
b. Find the critical values.
r s equals plus or minus
​(Round to three decimal places as​ needed.)
 
**Quality and Cost Analysis**

The table below presents a comparison between Quality and Cost values:

| Quality | 84 | 83 | 81 | 79 | 78 | 76 | 74 | 71 | 71 | 65 | 60 |
|---------|----|----|----|----|----|----|----|----|----|----|----|
| Cost    | 27 | 28 | 29 | 25 | 18 | 15 | 27 | 25 | 16 | 15 | 18 |

**Explanation:**

- **Quality Row:** This row lists numerical values representing the quality of a product or service. The values range from 60 to 84, showing various quality levels.
  
- **Cost Row:** This row shows the corresponding cost values associated with each quality level. The cost values range between 15 and 29.

This table can be used to analyze the correlation between quality and cost, potentially helping in decision-making processes related to budgeting and quality control in educational contexts.
Transcribed Image Text:**Quality and Cost Analysis** The table below presents a comparison between Quality and Cost values: | Quality | 84 | 83 | 81 | 79 | 78 | 76 | 74 | 71 | 71 | 65 | 60 | |---------|----|----|----|----|----|----|----|----|----|----|----| | Cost | 27 | 28 | 29 | 25 | 18 | 15 | 27 | 25 | 16 | 15 | 18 | **Explanation:** - **Quality Row:** This row lists numerical values representing the quality of a product or service. The values range from 60 to 84, showing various quality levels. - **Cost Row:** This row shows the corresponding cost values associated with each quality level. The cost values range between 15 and 29. This table can be used to analyze the correlation between quality and cost, potentially helping in decision-making processes related to budgeting and quality control in educational contexts.
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