Can you solve the question below? When the population is Normally distributed, we know that the sampling distribution of xwillbe Normally distributed, so we can use Normal calculations. However, most populationdistributions are not Normally distributed. If our sampling distribution is skewed, non-Normal insome other way, or totally unknown, we cannot use Normal calculations to answer questions.Thankfully, a pretty remarkable fact about sample means helps us out: The Central LimitTheorem (CLT). When the sample size is large, the shape of the sampling distribution of xwillbe approximately Normal no matter what the shape of the population distribution may be! TheAP Statistics people define "large" to be any sample thatts at least 30. So, if n 230, we canbe safe in assuming that the sampling distribution of x will be approximately Normal and wecan proceed to perform Normal calculations. If n < 30, we can only proceed if we know thepopulation distribution is Normal.The blood cholesterol level of adult men has mean 188 mg/dhand standard deviation 41mg/dl.An SRS of 250 men is selected and the mean blood cholesterol level in the sample iscalculated.Sketch the sampling distribution of xand calculate the probability that the sample mean will begreater than 193 mg/dl.

here given, sample size n = 250 population mean and standard deviation is as follows μ = 188and…

Answered: Sketch the sampling distribution of…

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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Sketch the sampling distribution of xand calculate the probability that the sample mean will be greater than 193 mg/dl.