To create a confidence interval from a bootstrap distribution using percentiles, we keep the middle values and chop off a certain percent from each tail. (a) What percent of values must be chopped off from each tail for a 95% confidence interval?
(b) If the bootstrap distribution contains values for 1000 bootstrap samples, how many should be chopped off at each end to produce a 95% confidence interval?

a

b

Step-by-step explanation:

From the question we are told that

   The number of bootstrap samples is  n =  1000

From the question we are told the confidence level is  95% , hence the level of significance is    

=>  

Generally the percentage of values that must be chopped off from each tail  for a 95% confidence interval is mathematically evaluated as

=>    

Generally the number of the bootstrap sample that must be chopped off to produce a 95% confidence interval is

=>  

=>