**Problem Statement:**There are 8,000 students at the University of Tennessee at Chattanooga. The average age of all the students is 24 years with a standard deviation of 9 years. A random sample of 36 students is selected. What is the probability that the sample mean will be larger than 19.5?**Answer Options:**- 0- 0.9986- 0.3275- 0.7335**Explanation:**This problem is a statistical question involving the concept of sampling distributions. To solve it, you need to calculate the probability that the mean of a sample will be greater than a certain value, given the population mean and standard deviation. The solution typically involves using the normal distribution and z-scores, because the sample size is large enough (n = 36) to apply the Central Limit Theorem.

Let M denote the sample mean age of students in a sample of size n = 36.

Answered: 3. There are 8,000 students at the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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3. There are 8,000 students at the University of Tennessee at Chattanooga. The average age of all the students is 24 years with a standard deviation of 9 years. A random sample of 36 students is selected. What is the probability that the sample mean will be larger than 19.5?