Question

A rowing team consists of four rowers who weigh 42, 36 and 29 pounds. Find all possible random samples with replacement of size three and compute the sample mean for each one. Use them to find the sampling distribution of the sample mean. Also verify the results.

Answer 1

all possible random samples of size three

sample:  42, 36,29 

Sum, Σx:107

Mean, x̄:35.66

Variance, s²: 42.33

s = 6.5