Answered: PART A A variable X has a mean of 73.5…

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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PART A

A variable X has a mean of 73.5 and a standard deviation of 61.4. A random sample of size 30 is selected. Assuming X is normally distributed, what is the probability, to two decimal places, that the sample mean exceeds 100? Give your answer to two decimal places in the form x.xx

PART B

True or False:

It was necessary to assume that the variable X is normally distributed in part (a) of this question. Answer by placing T or F in the space provided.

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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