Answered: A certain chromosome defect occurs in…

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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Question

A certain chromosome defect occurs in only 1 in 190 adult Caucasian males. A random sample of

n = 100

adult Caucasian males is to be obtained.

(a)

What is the mean value of the sample proportion p̂, and what is the standard deviation of the sample proportion? (Round your answers to four decimal places.)

meanstandard deviation

(b)

Does p̂ have approximately a normal distribution in this case? Explain. (Select all that apply.)

the sampling distribution of p̂ is approximately normalthe sampling distribution of p̂ is not approximately normalnp is less than 10np equals 10np is greater than 10n(1 − p) is less than 10n(1 − p) equals 10n(1 − p) is greater than 10

(c)

What is the smallest value of n for which the sampling distribution of p̂ is approximately normal?

n =

adult Caucasian males

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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