Bootstrap confidence interval for the median. Your software can generate random numbers that have the uniform distribution on 0 to 1. Figure shows the density curve. Generate a sample of 50 observations from this distribution.
(a) What is the population median? Bootstrap the sample median and describe the bootstrap distribution.
(b) What is the bootstrap standard error? Compute a bootstrap t 95% confidence interval.
(c) Find the BCa or tilting 95% confidence interval. Compare with the interval in (b). Is the bootstrap t interval reliable here?
