A random sample of size 25 was selected from a population and from that sample the value of a statistic,which we will label ,was determined to be = 6.250.Using the bootstrap method,5000 resamples were obtained from the sample observations.The histogram of the values of the statistic from these 5000 resamples looked reasonably Normal.The 5000 's had a mean of 6.234 and standard deviation of 1.493.Which of the following statements about this situation is/are TRUE?
A)For the statistic ,the bootstrap standard error is = 0.2986.
B)The bootstrap estimate of bias in the statistic is 0.016.
C)The bootstrap standard error is 1.493.
D)None of the above is true.
E)Only B and C are true.

Question

A random sample of size 25 was selected from a population and from that sample the value of a statistic,which we will label  ,was determined to be  = 6.250.Using the bootstrap method,5000 resamples were obtained from the sample observations.The histogram of the values of the  statistic from these 5000 resamples looked reasonably Normal.The 5000  's had a mean of 6.234 and standard deviation of 1.493.Which of the following statements about this situation is/are TRUE?
A)For the statistic ,the bootstrap standard error is = 0.2986. 
B)The bootstrap estimate of bias in the statistic is 0.016. 
C)The bootstrap standard error is 1.493. 
D)None of the above is true. 
E)Only B and C are true.

Quizplus · Accepted Answer

A) is false because the bootstrap standard error calculated based on the 5000 resamples is 1.710, not 0.2986.
B) is true because the difference between the bootstrap estimate of the mean (6.234) and the original sample statistic (6.250) is 0.016.
C) is true because the standard deviation of the 5000 bootstrap statistics is 1.493.

A Random Sample of Size 25 Was Selected from a Population