Answered: A sample of 160 colleges is taken and…

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 sample of 160 colleges is taken and the average number of full-time students is found to be 25,476.69. The standard deviation for full-time attendance at ALL colleges is 2.429.83. Assuming that the number of full-time students is normally distributed: a) Construct a 99% confidence interval for average full-time attendance at ALL colleges. b) Using a 5% significance level, test to see whether average full-time attendance is significantly higher than 25,000. c) Assuming that the average full-time attendance is really 25,500, calculate the probability of a Type Il error. d) Calculate the power of the test against this alternative? e) What is the probability of a Type I error?

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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