A sample of seven concrete blocks had their crushing strength measured in MPa. The results were Ten
Question:
A sample of seven concrete blocks had their crushing strength measured in MPa. The results were
Ten thousand bootstrap samples were generated from these data, and the bootstrap sample means were arranged in order. Refer to the smallest mean as Y1, the second smallest as Y2, and so on, with the largest being Y10,000. Assume that Y50 = 1283.4, Y51 = 1283.4, Y100 = 1291.5, Y101 = 1291.5, Y250?= 1305.5, Y251 = 1305.5, Y500 = 1318.5, Y501 = 1318.5, Y9500 = 1449.7, Y9501 = 1449.7, Y9750 = 1462.1, Y9751 = 1462.1, Y9900 = 1476.2, Y9901 = 1476.2, Y9950 = 1483.8, and Y9951 = 1483.8.
a. Compute a 95% bootstrap confidence interval for the mean compressive strength, using method 1.
b. Compute a 95% bootstrap confidence interval for the mean compressive strength, using method 2.
c. Compute a 99% bootstrap confidence interval for the mean compressive strength, using method 1.
d. Compute a 99% bootstrap confidence interval for the mean compressive strength, using method 2.
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