MathCastle
StatisticsChallengeSampling and Experiments

Sampling and Experiments · Challenge problem

A population consists of four values 20,20,40,4020, 20, 40, 40 (mean 3030), in two strata: {20,20}\{20, 20\} and {40,40}\{40, 40\}. Compare an SRS of 22 with a stratified sample of one from each stratum. What is the probability that the SRS's sample mean is NOT 3030?