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 Y_10,000. Assume that Y₅₀ = 1283.4, Y₅₁ = 1283.4, Y₁₀₀ = 1291.5, Y₁₀₁ = 1291.5, Y_250?= 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.

Transcribed Image Text:

1367.6 1411.5 1318.7 1193.6 1406.2 1425.7 1572.4