A sample is obtained from a population with μ = 100 and σ = 20.Which of the following samples would produce the most extreme z-score?
A)A sample of n = 25 scores with M = 102
B)A sample of n = 100 scores with M = 102
C)A sample of n = 25 scores with M = 104
D)A sample of n = 100 scores with M = 104

Question

A sample is obtained from a population with μ = 100 and σ = 20.Which of the following samples would produce the most extreme z-score?​
A)​A sample of n = 25 scores with M = 102
B)​A sample of n = 100 scores with M = 102
C)​A sample of n = 25 scores with M = 104
D)​A sample of n = 100 scores with M = 104

Quizplus · Accepted Answer

The z-score is calculated as (M - μ) / (σ/√n). For option D, the sample mean (M) is 104, which is the furthest from the population mean (μ = 100), and the sample size (n = 100) is the largest, resulting in the smallest standard error (σ/√n), thus producing the most extreme z-score.

A Sample Is Obtained from a Population with μ =