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# In Example 5.20 (in Section 5.3) the following

ISBN: 9780073401331 38

## Solution for problem 6E Chapter 5.10

Statistics for Engineers and Scientists | 4th Edition

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Problem 6E

In Example 5.20 (in Section 5.3) the following measurements were given for the cylindrical compressive strength (in MPa) for 11 beams:

 38.43 38.43 38.39 38.83 38.45 38.35 38.43 38.31 38.32 38.48 38.50

One thousand bootstrap samples were generated from these data, and the bootstrap sample means were arranged in order. Refer to the smallest value as Y1, the second smallest as Y2, and so on, with the largest being Y1000. Assume that Y25 = 38.3818, Y26 = 38.3818, Y50 = 38.3909, Y51 = 38.3918, Y950 = 38.5218, Y951 = 38.5236. Y975 = 38.5382, and Y976 = 38.5391.

a. Compute a 95% bootstrap confidence interval for the mean compressive strength, using method 1 as described on page 386.

b. Compute a 95% bootstrap confidence interval for the mean compressive strength, using method 2 as described on page 386.

c. Compute a 90% bootstrap confidence interval for the mean compressive strength, using method 1 as described on page 386.

d. Compute a 90% bootstrap confidence interval for the mean compressive strength, using method 2 as described on page 386.

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##### ISBN: 9780073401331

The full step-by-step solution to problem: 6E from chapter: 5.10 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Since the solution to 6E from 5.10 chapter was answered, more than 254 students have viewed the full step-by-step answer. The answer to “In Example 5.20 (in Section 5.3) the following measurements were given for the cylindrical compressive strength (in MPa) for 11 beams:38.43 38.43 38.39 38.83 38.4538.35 38.43 38.31 38.32 38.48 38.50 One thousand bootstrap samples were generated from these data, and the bootstrap sample means were arranged in order. Refer to the smallest value as Y1, the second smallest as Y2, and so on, with the largest being Y1000. Assume that Y25 = 38.3818, Y26 = 38.3818, Y50 = 38.3909, Y51 = 38.3918, Y950 = 38.5218, Y951 = 38.5236. Y975 = 38.5382, and Y976 = 38.5391.a. Compute a 95% bootstrap confidence interval for the mean compressive strength, using method 1 as described on page 386.________________b. Compute a 95% bootstrap confidence interval for the mean compressive strength, using method 2 as described on page 386.________________c. Compute a 90% bootstrap confidence interval for the mean compressive strength, using method 1 as described on page 386.________________d. Compute a 90% bootstrap confidence interval for the mean compressive strength, using method 2 as described on page 386.” is broken down into a number of easy to follow steps, and 171 words. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. This full solution covers the following key subjects: bootstrap, compressive, Strength, mean, Using. This expansive textbook survival guide covers 153 chapters, and 2440 solutions.

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