# Question: To control the risk of severe core damage during a

To control the risk of severe core damage during a commercial nuclear power station blackout accident, the reliability of the emergency diesel generators in starting on demand must be maintained at a high level. The paper “Empirical Bayes Estimation of the Reliability of Nuclear-Power Emergency Diesel Generators”[Technometrics (1996) 38: 11–23] contains data on the failure history of seven nuclear power plants. The following data are the number of successful demands between failures for the diesel generators at one of these plants from 1982 to 1988.

a. Calculate the mean and median of the successful demands between failures.

b. Which measure appears to best represent the center of the data?

c. Calculate the range and standard deviation, s.

d. Use the range approximation to estimate s. How close is the approximation to the true value?

e. Construct the intervals

y-bar ± s y-bar ± 2s y-bar ± 3s

Count the number of demands between failures falling in each of the three intervals. Convert these numbers to percentages and compare your results to the Empirical Rule.

f. Why do you think the Empirical Rule and your percentages do not match well?

a. Calculate the mean and median of the successful demands between failures.

b. Which measure appears to best represent the center of the data?

c. Calculate the range and standard deviation, s.

d. Use the range approximation to estimate s. How close is the approximation to the true value?

e. Construct the intervals

y-bar ± s y-bar ± 2s y-bar ± 3s

Count the number of demands between failures falling in each of the three intervals. Convert these numbers to percentages and compare your results to the Empirical Rule.

f. Why do you think the Empirical Rule and your percentages do not match well?

## Answer to relevant Questions

The College of Dentistry at the University of Florida has made a commitment to develop its entire curriculum around the use of self-paced instructional materials such as videotapes, slide tapes, and syllabi. It is hoped that ...A random sample of 90 standard metropolitan statistical areas (SMSAs) was studied to obtain information on murder rates. The murder rates (number of murders per 100,000 people) were recorded, and these data are summarized in ...Data are collected on the weekly expenditures of a sample of urban households on food (including restaurant expenditures). The data, obtained from diaries kept by each household, are grouped by number of members of the ...Refer to the epilepsy study data in Table 3.19. Examine the scatterplots of Y1, Y2, Y3, and Y4 versus baseline count and age given here. a. Does there appear to be a difference in the relationship between the seizure count ...Refer to the data in Exercise 3.69. In exercise a. Construct a scatterplot of the number of AIDS cases versus the number of tuberculosis cases. b. Compute the correlation between the number of AIDS cases and the number of ...Post your question