Solution Found!
Consider the situation of Case Study 5.1 with a larger
Chapter , Problem 5.19(choose chapter or problem)
Consider the situation of Case Study 5.1 with a larger sample of metal pieces. The diameters are as follows: 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 1.01, 1.03, 0.99, 1.00, 1.00, 0.99, 0.98, 1.01, 1.02, 0.99 centimeters. Once again the normality assumption may be made. Do the following and compare your results to those of the case study. Discuss how they are different and why.
(a) Compute a 99% confidence interval on the mean diameter.
(b) Compute a 99% prediction interval on the next diameter to be measured.
(c) Compute a 99% tolerance interval for coverage of the central 95% of the distribution of diameters.
Questions & Answers
QUESTION:
Consider the situation of Case Study 5.1 with a larger sample of metal pieces. The diameters are as follows: 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 1.01, 1.03, 0.99, 1.00, 1.00, 0.99, 0.98, 1.01, 1.02, 0.99 centimeters. Once again the normality assumption may be made. Do the following and compare your results to those of the case study. Discuss how they are different and why.
(a) Compute a 99% confidence interval on the mean diameter.
(b) Compute a 99% prediction interval on the next diameter to be measured.
(c) Compute a 99% tolerance interval for coverage of the central 95% of the distribution of diameters.
ANSWER:Step 1 of 10
We have the following data:
\(101,\ 0.97,\ 1.03,\ 1.04,\ 0.99,\ 0.98,\ 1.01,\ 1.03,\ 0.99,\ 1.00,\ 1.00,\ 0.99,\ 0.98,\ 1.1,\ 1.02,\ 0.99\)