A random sample of 100 adult men in Toronto were randomly selected.The sample correlation between their heights and weights was found to be 0.62.Ten subsequent bootstrap samples based on this initial sample produced the following correlation coefficients: 0.58,0.52,0.67,0.62,0.63,0.54,0.71,0.66,0.58,0.70.Based on these ten resamples,find the bootstrap of the standard error of the sample correlation.
A)0.0206
B)0.2222
C)0.6210
D)0.0043
E)0.0652

Question

Quizplus · Accepted Answer

The bootstrap standard error is calculated as the standard deviation of the bootstrap sample correlations: sqrt((Σ(xi - x̄)²) / (n-1)), where xi are the bootstrap correlations, x̄ is their mean, and n is the number of bootstrap samples.

A Random Sample of 100 Adult Men in Toronto Were