In: Statistics and Probability
1. A sample of n = 20 scores has a mean of M = 30.
a. If the sample standard deviation is s = 10, would a score of X = 38 be considered an extreme value (out in the tail of the distribution)?
X = 38 would not be considered an extreme value as it falls within one standard deviation above the mean
b. If the sample standard deviation is s = 2, would score of X = 38 be considered an extreme value (out in the tail of the distribution)?
X = 38 would not be considered an extreme value as it falls within 4 standard deviations above the mean
I know this question is answered here on textbook solutions for Essentials of Statistics for Behavioral Sciences: 6th Edition (Chapter 4 Problem 10)
But I simply do not comprehend this concept and I would like to.
Thank you !