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

7.1 Exercise 8

Avg difficulty 2.5

The mean number of minutes for app engagement by an iPad user is 8.2 minutes. Suppose the standard deviation is one minute. Take a sample of 60.

  1. What are the mean and standard deviation for the sample mean number of minutes for app engagement by an iPad user?
  2. What is the standard error of the mean?
  3. Find the 90th percentile for the sample mean time of minutes for app engagement by an iPad user. Interpret this value in a complete sentence.
  4. Find the probability that the sample mean is between eight minutes and 8.5 minutes.

OpenStax Introductory Statistics 2e, 7.1 The Central Limit Theorem for Sample Means (Averages), exercise 8

AI Tutor

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