Which of the following statements about bootstrap estimates is/are TRUE? A)The bootstrap is able to estimate the sampling distribution,bias,and standard error of a wide variety of statistics. B)A small bootstrap estimate of bias suggests that the sampling distribution of the statistic is centered at the population parameter. C)The bootstrap estimate of bias is determined from the mean of the bootstrap distribution and the value of the statistic in the original sample. D)If the bootstrap distribution of a statistic is approximately Normal and the bias is small,a bootstrap confidence interval for the population parameter can be constructed of the form statistic ± t*SE_boot. E)All of the above are true.

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Quizplus · Accepted Answer

All of the statements are true. The bootstrap method can estimate the sampling distribution, bias, and standard error of various statistics. A small bootstrap estimate of bias indicates that the sampling distribution of the statistic is centered around the population parameter. The bootstrap estimate of bias is calculated using the mean of the bootstrap distribution and the value of the statistic in the original sample. If the bootstrap distribution of a statistic is approximately normal and the bias is small, a confidence interval for the population parameter can be constructed using the formula: statistic ± t*SES_boot, where SES_boot is the standard error of the bootstrap distribution and t is the t-value based on the desired confidence level and degrees of freedom.

Which of the Following Statements About Bootstrap Estimates Is/are TRUE