Answered: SRS of 1500 first-year college students…

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

An SRS of 1500 first-year college students were asked whether they applied for admission to any other college. In fact, 35% of all first-year students applied to colleges beside the one they are attending.

Population

Parameter

Value of the parameter

a) State the conditions of why the sample proportion follows a normal distribution.

b) What is the mean and standard deviation of the sample proportion ?

c) What is the probability that the sample proportion of college students who applied to colleges besides the one they attended is more than 37.5%?

d) What is the probability that the poll will be within 2% of the true proportion?

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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