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Back to 7.1 The Central Limit Theorem for Sample Means (Averages)

7.1 Exercise 4

Avg difficulty 2.5

The length of time, in hours, it takes a group of people, 40 years old and older, to play one soccer match is normally distributed with a mean of 2 hours and a standard deviation of 0.5 hours. A sample of size n = 50 is drawn randomly from the population. Find the probability that the sample mean is between 1.8 hours and 2.3 hours.

OpenStax Statistics, 7.1 The Central Limit Theorem for Sample Means (Averages), exercise 4

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Adapted from Statistics © 2022 Rice University. Licensed under CC BY 4.0. Source: Statistics. Imported at revision 7dea80a.