uppose 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. lick here to view the table of critical values for normal probability plots. lick here to view page 1 of the standard normal distribution table. lick here to view page 2 of the standard normal distribution table. sing 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.) A. 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. B. 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. OC. 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. OD. 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. Critical Values for Normal Probability Plots Sample Size, n Critical Value 5 0.880 6 0.888 7 8 9 10 11 12 13 0.898 0.906 0.912 0.918 0.923 0.928 0.932 Sample Size, n Critical Value 16 0.941 17 0.944 0.946 0.949 0.951 0.952 0.954 18 19 20 21 22 23 24 0.956 0.957 - X 0.179 0.194 0.19 0.202 0.212 0.23 0.262 0.276 0.28 0.302 0.306 0.30
uppose 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. lick here to view the table of critical values for normal probability plots. lick here to view page 1 of the standard normal distribution table. lick here to view page 2 of the standard normal distribution table. sing 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.) A. 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. B. 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. OC. 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. OD. 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. Critical Values for Normal Probability Plots Sample Size, n Critical Value 5 0.880 6 0.888 7 8 9 10 11 12 13 0.898 0.906 0.912 0.918 0.923 0.928 0.932 Sample Size, n Critical Value 16 0.941 17 0.944 0.946 0.949 0.951 0.952 0.954 18 19 20 21 22 23 24 0.956 0.957 - X 0.179 0.194 0.19 0.202 0.212 0.23 0.262 0.276 0.28 0.302 0.306 0.30
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
**
- **[Standard normal distribution table (Page 1)](#)**
- **[Standard normal distribution table (Page 2)](#)**
Here is the recorded wall thickness data (in inches):
0.179, 0.194, 0.192, 0.206, 0.202, 0.212, 0.232, 0.243, 0.262, 0.276, 0.285, 0.294, 0.302, 0.306, 0.309, 0.314
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.)
**Options:**
- A. 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.
- B. 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.
- C. 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.
- D. 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.
**Diagram Explanation:**
The image includes a table titled "Critical Values for Normal Probability Plots." This table lists the sample size \( n \) alongside the corresponding critical value:
- **Sample Size \( n \) and Critical Value:**
- \( n = 6 \rightarrow 0.880 \)
- \( n = 7 \rightarrow 0.888 \)
- \( n =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac4ecf6d-2ca9-4d7a-9411-ad5c7f2c67b6%2Fa0e49815-f374-44f8-a3b1-7f0240c49d32%2F56yc2ky_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding Normal Distribution and Correlation in O-Ring Wall Thickness
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.
**Helpful References:**
- **[Critical values for normal probability plots](#)**
- **[Standard normal distribution table (Page 1)](#)**
- **[Standard normal distribution table (Page 2)](#)**
Here is the recorded wall thickness data (in inches):
0.179, 0.194, 0.192, 0.206, 0.202, 0.212, 0.232, 0.243, 0.262, 0.276, 0.285, 0.294, 0.302, 0.306, 0.309, 0.314
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.)
**Options:**
- A. 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.
- B. 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.
- C. 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.
- D. 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.
**Diagram Explanation:**
The image includes a table titled "Critical Values for Normal Probability Plots." This table lists the sample size \( n \) alongside the corresponding critical value:
- **Sample Size \( n \) and Critical Value:**
- \( n = 6 \rightarrow 0.880 \)
- \( n = 7 \rightarrow 0.888 \)
- \( n =
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