## Educational Exercise### Problem StatementAt the University of Tennessee at Chattanooga, there are 8,000 students. 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 between 25.5 and 27 years?### Options- ○ 0- ○ 0.1359- ○ 0.2222- ○ 0.3703### ExplanationThis problem involves calculating the probability that the sample mean falls within a certain range, assuming a normal distribution. The Central Limit Theorem can be used here, which states that the sampling distribution of the sample mean will be approximately normally distributed if the sample size is large enough.The specifics of how to calculate this probability involve using the sample size, the standard deviation, and the average. It typically requires finding the z-scores for the given range and using the standard normal distribution table to find the probabilities.

GivenMean(μ)=24standard deviation(σ)=9sample 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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