A population has µ = 60 and σ = 10.For a sample of n = 25 scores from this population,a sample mean of M = 55 would be considered an extreme value.

Question

Quizplus · Accepted Answer

A sample mean of M = 55 is 5 units away from the population mean µ = 60. The standard error (σ/√n) is 10/√25 = 2. Since 5 is 2.5 times the standard error, it is more than 2 standard deviations away, making it an extreme value.

A Population Has µ = 60 and σ = 10