**Question:**Suppose that x has a distribution with μ=9 and σ=4 and it is normally distributed (bell shaped). If you take many samples of size n=15, will the sampling distribution of sample means be approximately normally distributed? (Hint: Central Limit Theorem)- ○ No- ○ Yes, since the population is normally distributed- ○ Not possible to know**Explanation:**This question refers to the Central Limit Theorem (CLT), which states that the sampling distribution of the sample mean will be approximately normally distributed if the sample size is sufficiently large, typically n ≥ 30. However, if the population itself is normally distributed, even smaller sample sizes will result in a normally distributed sampling distribution of the sample means. In this case, since the population is already normally distributed, the sampling distribution of the sample means will also be approximately normal, even with a sample size of n=15. Thus, the correct answer is: - Yes, since the population is normally distributed.

It is given that the random variable X has a distribution with μ = 9 and σ = 4 and it is normally…

Answered: Suppose that x has a distribution with…

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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