Answered: A random sample of 20 undergraduate…

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 random sample of 20 undergraduate students who worked an average of 13.5 hours per week for a university. Assume the population is normally distributed with a standard deviation of 5 hours per week.
(i) Test the claim that the average student works less than 15 hours per week at the α = 0:02 significance level by comparing the calculated z-score to the critical zscore.

(ii) Verify your answer to Problem (i) by comparing the sample mean to the critical sample mean.
(iii) Verify your answer to Problem (i) by comparing the p-value and the significance level

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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