Answered: 13.7 A sample of young men, continued.…

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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13.7 A sample of young men, continued.

Suppose that the blood cholesterol levels of all men age 20 to 34 years follows the normal distribution with mean miu=188milligrams per decilliter (mg/dl) and standard deviation sigma=41 mg/dl.

(a) Choose an SRS of 100 men from this population. Waht is the sampling distribution of xbar? What is the probability that xbar takes a value between 185 and 191 mg/dl? This is the probability that xbar etimates miu within +/-3 mg/dl.

(b) Choose an SRS of 1000 men from this population. Now what is the probability that xbar falls within +/-3 mg/dl of miu? The larger sample is much more likely to give an accurate etimate of miu.

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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