A population has µ = 60 and σ = 30.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

To determine if a sample mean of M = 55 is an extreme value, we need to calculate the z-score:

z = (M - µ) / (σ / sqrt(n))

z = (55 - 60) / (30 / sqrt(25))

z = -1.67

This z-score does not indicate an extreme value, as it falls within the range of typical values for a normal distribution. Therefore, the answer is B, false.

A Population Has µ = 60 and σ = 30