Suppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed. 0.155 0.180 0.205 0.217 O 0.218 0.233 0.237 0.243 0.260 0.265 0.275 0.275 0.281 0.307 0.320 0.343 Click here to view the table of critical values. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table, ..... Using the correlation coefficient of the normal probability plot, is it reasonable to conclude that the population is normally distributed? Select the correct choice below and fill in the answer boxes within your choice. (Round to three decimal places as needed.) O A. No. The correlation between the expected z-scores and the observed data, conclude that the data come from a normal population. does not exceed the critical value, Therefore, it is reasonable to O B. No. The correlation between the expected z-scores and the observed data, does not exceed the critical value, Therefore, it is not reasonable to conclude that the data come from a normal population. OC. Yes. The correlation between the expected z-scores and the observed data, exceeds the critical value, Therefore, it is reasonable to conclude that the data come from a normal population. O D. Yes. The correlation between the expected z-scores and the observed data, that the data come from a normal population. exceeds the critical value, Therefore, it is not reasonable to conclude

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
Suppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed.

Wall thickness sample values: 
0.155, 0.180, 0.205, 0.217 
0.218, 0.233, 0.237, 0.243 
0.260, 0.265, 0.275, 0.275 
0.281, 0.307, 0.320, 0.343

### Links:
- [Click here to view the table of critical values.](#)
- [Click here to view page 1 of the standard normal distribution table.](#)
- [Click here to view page 2 of the standard normal distribution table.](#)

### Question:
Using the correlation coefficient of the normal probability plot, is it reasonable to conclude that the population is normally distributed? Select the correct choice below and fill in the answer boxes within your choice. (Round to three decimal places as needed.)

**Choices:**

A. No. The correlation between the expected z-scores and the observed data, \_\_\_\_, does not exceed the critical value, \_\_\_\_. Therefore, it is reasonable to conclude that the data come from a normal population.

B. No. The correlation between the expected z-scores and the observed data, \_\_\_\_, does not exceed the critical value, \_\_\_\_. Therefore, it is not reasonable to conclude that the data come from a normal population.

C. Yes. The correlation between the expected z-scores and the observed data, \_\_\_\_, exceeds the critical value, \_\_\_\_. Therefore, it is reasonable to conclude that the data come from a normal population.

D. Yes. The correlation between the expected z-scores and the observed data, \_\_\_\_, exceeds the critical value, \_\_\_\_. Therefore, it is not reasonable to conclude that the data come from a normal population.
Transcribed Image Text:Suppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed. Wall thickness sample values: 0.155, 0.180, 0.205, 0.217 0.218, 0.233, 0.237, 0.243 0.260, 0.265, 0.275, 0.275 0.281, 0.307, 0.320, 0.343 ### Links: - [Click here to view the table of critical values.](#) - [Click here to view page 1 of the standard normal distribution table.](#) - [Click here to view page 2 of the standard normal distribution table.](#) ### Question: Using the correlation coefficient of the normal probability plot, is it reasonable to conclude that the population is normally distributed? Select the correct choice below and fill in the answer boxes within your choice. (Round to three decimal places as needed.) **Choices:** A. No. The correlation between the expected z-scores and the observed data, \_\_\_\_, does not exceed the critical value, \_\_\_\_. Therefore, it is reasonable to conclude that the data come from a normal population. B. No. The correlation between the expected z-scores and the observed data, \_\_\_\_, does not exceed the critical value, \_\_\_\_. Therefore, it is not reasonable to conclude that the data come from a normal population. C. Yes. The correlation between the expected z-scores and the observed data, \_\_\_\_, exceeds the critical value, \_\_\_\_. Therefore, it is reasonable to conclude that the data come from a normal population. D. Yes. The correlation between the expected z-scores and the observed data, \_\_\_\_, exceeds the critical value, \_\_\_\_. Therefore, it is not reasonable to conclude that the data come from a normal population.
# Table of Critical Values

This table presents critical values corresponding to various sample sizes.

| Sample Size, n | Critical Value |
|----------------|----------------|
| 5              | 0.880          |
| 6              | 0.888          |
| 7              | 0.898          |
| 8              | 0.906          |
| 9              | 0.912          |
| 10             | 0.918          |
| 11             | 0.923          |
| 12             | 0.928          |
| 13             | 0.932          |
| 14             | 0.935          |
| 15             | 0.939          |
| 16             | 0.941          |
| 17             | 0.944          |
| 18             | 0.946          |
| 19             | 0.949          |
| 20             | 0.951          |
| 21             | 0.952          |
| 22             | 0.954          |
| 23             | 0.956          |
| 24             | 0.957          |
| 25             | 0.959          |
| 30             | 0.960          |

**Notes:**
- This table is typically used in statistical analyses to determine significance for a given sample size.
- The critical value increases with the sample size, reflecting greater confidence in larger samples.

**Controls:**
- **Print**: This button allows you to print the table.
- **Done**: This button closes the dialogue.
Transcribed Image Text:# Table of Critical Values This table presents critical values corresponding to various sample sizes. | Sample Size, n | Critical Value | |----------------|----------------| | 5 | 0.880 | | 6 | 0.888 | | 7 | 0.898 | | 8 | 0.906 | | 9 | 0.912 | | 10 | 0.918 | | 11 | 0.923 | | 12 | 0.928 | | 13 | 0.932 | | 14 | 0.935 | | 15 | 0.939 | | 16 | 0.941 | | 17 | 0.944 | | 18 | 0.946 | | 19 | 0.949 | | 20 | 0.951 | | 21 | 0.952 | | 22 | 0.954 | | 23 | 0.956 | | 24 | 0.957 | | 25 | 0.959 | | 30 | 0.960 | **Notes:** - This table is typically used in statistical analyses to determine significance for a given sample size. - The critical value increases with the sample size, reflecting greater confidence in larger samples. **Controls:** - **Print**: This button allows you to print the table. - **Done**: This button closes the dialogue.
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