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

7.1 Exercise 10

Avg difficulty 2.5

Use the following information to answer the next six exercises: Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let Χ be the random variable representing the time it takes her to complete one review. Assume Χ is normally distributed. Let x ¯ \bar{x} be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.

What is the mean, standard deviation, and sample size?

OpenStax Introductory Statistics 2e, 7.1 The Central Limit Theorem for Sample Means (Averages), exercise 10

AI Tutor

Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.