7.3.7 Question Help Suppose a sample of O-rings was obtained and the wall thickn

Question

7.3.7 Question Help 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 0.161 0.193 0.208 0.218 from a population that is normally distributed. 0.228 0.237 0.234 0.249 0.259 0.268 0.275 0.277 0.289 0.304 0.319 0.333 here to view the table of critical value Click here to view page 1 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.) 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. O B. 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. ° C. No. The correlation between the expected z scores and the observed data does not exceed the critical value, There ore, it is not reasonable to conclude that the data come from a normal population. 0 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 Sample Size, n Critical Value 0.880 0.888 0.898 0.906 0.912 0.918 0.923 0.928 0.932 0.935 Critical Value 0.941 0.944 0.946 0.949 0.951 0.952 0.954 0.956 0.957 0.959 Sample Size, n 17 18 19 20 21 Click to select and enter your answer(s) and then click Check Answer 12 23 24 25 All parts showing Clear All

Explanation / Answer

Correlation between x and Epected z-score = 0.99648

Critical value for n=16 is 0.941

Correct option is

B. Yes, the correlation between the expected z-scores and the observed data, 0.996, exceeds the critical value, 0.941. Therefore, it is reasonable to conclude that the data came from a normal distribution.

x Rank Be Expected z-score 0.161 1 0.038462 -1.768825039 0.193 2 0.1 -1.281551566 0.208 3 0.161538 -0.988154632 0.218 4 0.223077 -0.761842777 0.228 5 0.284615 -0.569184749 0.237 6 0.346154 -0.395725296 0.234 7 0.407692 -0.233485258 0.249 8 0.469231 -0.077203649 0.259 9 0.530769 0.077203649 0.268 10 0.592308 0.233485258 0.275 11 0.653846 0.395725296 0.277 12 0.715385 0.569184749 0.289 13 0.776923 0.761842777 0.304 14 0.838462 0.988154632 0.319 15 0.9 1.281551566 0.333 16 0.961538 1.768825039

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