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Refer to Exercise 22.a. Generate 10,000 bootstrap samples

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 27SE Chapter 5

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 27SE

Refer to Exercise 26.

a. Generate 10,000 bootstrap samples from the data in Exercise 26. Find the bootstrap sample mean percentiles that are used to compute a 99% confidence interval.

b. Compute a 99% bootstrap confidence interval for the mean compressive strength, using method 1 as described on page 390.

c. Compute a 99% bootstrap confidence interval for the mean compressive strength, using method 2 as described on page 390.

Step-by-Step Solution:

Solution

Step 1 of 3

a) We have to find the 99% confidence interval

From the given data mean

And the standard deviation =114.93

After generating the bootstrap sample

The 99% confidence interval is

(, )=(

                   

                   =

                             = (1270.15, 1495.155)

Hence the 99% confidence interval is (1270.15, 1495.155)


Step 2 of 3

Chapter 5, Problem 27SE is Solved
Step 3 of 3

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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Refer to Exercise 22.a. Generate 10,000 bootstrap samples