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An article in Nuclear Engineering International (February
Chapter 8, Problem 43E(choose chapter or problem)
An article in Nuclear Engineering International (February 1988, p. 33) describes several characteristics of fuel rods used in a reactor owned by an electric utility in Norway. Measurements on the percentage of enrichment of 12 rods were reported as follows:
2.94 3.00 2.90 2.75 3.00 2.95
2.90 2.75 2.95 2.82 2.81 3.05
(a) Use a normal probability plot to check the normality assumption.
(b) Find a 99% two-sided confidence interval on the mean percentage of enrichment. Are you comfortable with the statement that the mean percentage of enrichment is 2.95%? Why?
Questions & Answers
QUESTION:
An article in Nuclear Engineering International (February 1988, p. 33) describes several characteristics of fuel rods used in a reactor owned by an electric utility in Norway. Measurements on the percentage of enrichment of 12 rods were reported as follows:
2.94 3.00 2.90 2.75 3.00 2.95
2.90 2.75 2.95 2.82 2.81 3.05
(a) Use a normal probability plot to check the normality assumption.
(b) Find a 99% two-sided confidence interval on the mean percentage of enrichment. Are you comfortable with the statement that the mean percentage of enrichment is 2.95%? Why?
ANSWER:Step 1 of 4
(a)
To check whether the measurements on the percentage of enrichment of 12 rods is normally distributed. We need to construct a normal probability plot. If the points in the probability plot form a line or lie closer to the line drawn approximately between the 25th and 75th percentile points, then we can say that the data is normally distributed.