A random sample of 50 adult males in Toronto,Ontario were randomly selected and their weight,in kilograms,was recorded to the nearest kilogram.In order to compute a bootstrap confidence interval for the median,400 subsequent bootstrap samples were taken and the resulting sample medians were are ordered from lowest to highest.The first 10 and last 10 ordered medians are given below:
Use the percentile method to compute a 98% bootstrap confidence interval for the true median weight of adult males in Toronto,Ontario.

Question

A random sample of 50 adult males in Toronto,Ontario were randomly selected and their weight,in kilograms,was recorded to the nearest kilogram.In order to compute a bootstrap confidence interval for the median,400 subsequent bootstrap samples were taken and the resulting sample medians were are ordered from lowest to highest.The first 10 and last 10 ordered medians are given below: 
Use the percentile method to compute a 98% bootstrap confidence interval for the true median weight of adult males in Toronto,Ontario.

Quizplus · Accepted Answer

The percentile method involves finding the 2.5th and 97.5th percentiles of the ordered bootstrap sample medians.

To find the 2.5th percentile, we need to compute:

(2.5/100) * 400 = 10

This tells us that the 2.5th percentile corresponds to the 10th smallest ordered median. From the list given in the question, the 10th smallest ordered median is 69.0 kg.

To find the 97.5th percentile, we need to compute:

(97.5/100) * 400 = 390

This tells us that the 97.5th percentile corresponds to the 390th smallest ordered median. From the list given in the question, the 390th smallest ordered median is 95.0 kg.

Therefore, the 98% bootstrap confidence interval for the true median weight of adult males in Toronto, Ontario is (69.0, 95.0) kg.

The correct answer is D.

A Random Sample of 50 Adult Males in Toronto,Ontario Were