Lemma
MediumSampling distributions
OpenStax, Introductory Statistics 2e §7.1 The Central Limit Theorem for Sample Means (Averages) · Exercise 5 · Statistics · Sampling distributions

The Central Limit Theorem for Sample Means (Averages) · Exercise 5

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 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 causes the probabilities in and to be different?

~8 minWritten answer · compare with the solution

OpenStax, Introductory Statistics 2e · §7.1 The Central Limit Theorem for Sample Means (Averages) · Exercise 5

Stuck? A gentle nudge

No hints for this one.

Something off?
Workspace
Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.