A normally distributed population has mean 1,200 and standard deviation 120.Find the probability that a single randomly selected element X̄ of the population is between 1,100 and 1,300.Find the mean and standard deviation of X̅ for samples of size 25.Find the probability that the mean of a sample of size 25 drawn from this population is between 1,100 and 1,300.Please Answer in 4 decimal place.

Given that, A normally distributed population has mean 1,200 and standard deviation 120.

Answered: A normally distributed population has…

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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A normally distributed population has mean 1,200 and standard deviation 120.

Find the probability that a single randomly selected element X̄ of the population is between 1,100 and 1,300.
Find the mean and standard deviation of X̅ for samples of size 25.
Find the probability that the mean of a sample of size 25 drawn from this population is between 1,100 and 1,300.

Please Answer in 4 decimal place.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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