In Example 5.20 (in Section 5.3) the following

Chapter 5, Problem 6E

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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 \(Y_{1000}\). Assume that \(Y_{25}\) = 38.3818, \(Y_{26}\) = 38.3818,  \(Y_{50}\) = 38.3909, \(Y_{51}\) = 38.3918, \(Y_{950}\) = 38.5218, \(Y_{951}\) = 38.5236, \(Y_{975}\) = 38.5382, and \(Y_{976}\) = 38.5391.

Compute a 95% bootstrap confidence interval for the mean compressive strength, using method 1 as described on page 390. Compute a 95% bootstrap confidence interval for the mean compressive strength, using method 2 as described on page 390. Compute a 90% bootstrap confidence interval for the mean compressive strength, using method 1 as described on page 390. Compute a 90% bootstrap confidence interval for the mean compressive strength, using method 2 as described on page 390.

Equation transcription:

Text transcription:

Y_{1000}

Y_{25}

Y_{26}

Y_{50}

Y_{51}

Y_{950}

Y_{951}

Y_{975}

Y_{976}

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