AI Tutor
Back to 7.3 Using the Central Limit Theorem

7.3 Exercise 9

Avg difficulty 2.5

In the United States, a robbery occurs every two minutes, on average, according to a number of studies. Suppose the standard deviation is 0.5 minutes and the sample size is 100.

  1. Find the median, the first quartile, and the third quartile for the sample mean time of robberies in the United States.
  2. Find the median, the first quartile, and the third quartile for the sum of sample times of robberies in the United States.
  3. Find the probability that a robbery occurs on the average between 1.75 and 1.85 minutes.
  4. Find the value that is two standard deviations above the sample mean.
  5. Find the IQR for the sum of the sample times.

OpenStax Introductory Statistics 2e, 7.3 Using the Central Limit Theorem, exercise 9

AI Tutor

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