When using Student's t to compute an interval estimate,
A) we assume that the samples are collected from normally distributed populations.
B) we estimate the population standard deviation based on the sample standard deviation.
C) use the z distribution.
D) we assume that samples are collected from normally distributed populations and the estimate of the population standard deviation based on the sample standard deviation.
E) we assume that the samples are collected from normally distributed populations and use the z distribution.

Question

Quizplus · Accepted Answer

When using Student's t to compute an interval estimate, we assume that samples are collected from normally distributed populations and estimate the population standard deviation based on the sample standard deviation. This is the reason why we use the t-distribution rather than the z-distribution, which is used when the population standard deviation is known. Therefore, choice D is the best answer option.

When Using Student's T to Compute an Interval Estimate