Question

A researcher decides to construct a confidence interval for a population median because of very skewed sample data and it is suspected that the population data is also very skewed. Which of the following methods can the researcher use to construct the confidence interval for the population median

a. percentile method only
b. formula method only
c. either the percentile method or the formula method
d. neither the percentile method nor the formula method since a confidence interval for a median can never be constructed

Answer 1

Answer: C -

either the percentile method or the formula method

Explanation:

It is possible to get a confidence interval for a sample median, the interpretation of which is directly comparable to that for the mean. However, because of the lack of distributional assumptions, it may not be possible to obtain an exact 95% confidence interval for the median.

we can also use the percentile method to construct a confidence interval. Using this method, the 95% confidence interval is the range of points that cover the middle 95% of sampling distribution