Question

In: Statistics and Probability

1. A sample of n = 20 scores has a mean of M = 30. a....

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 !

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