Sampling Distribution of the Sample Minimum

Question

A food scientist simulates the sampling distribution of the minimum number of dreams recalled by students from samples of 15. What would happen if the sample size in each simulation increased to 30 regarding the expected value and variability of the minimum?

Accepted Answer

The expected minimum decreases and its variability is reduced because larger samples are more likely to include extreme low values in a more consistent manner.

Answer

Neither the expected value nor the variability of the minimum is affected by a change in sample size.

Answer

The variability of the minimum increases due to additional data points causing more fluctuation.

Answer

The expected minimum increases because the chance of recording higher minima is greater.