Answered: Test the claim that for the population…

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

Test the claim that for the population of statistics final exams, the mean score is 7676 using alternative hypothesis that the mean score is different from 76.76. Sample statistics include ?=21,n=21, ?⎯⎯⎯=78,x¯=78, and ?=11.s=11. Use a significance level of ?=0.05.α=0.05. (Assume normally distributed population.)

The test statistic is
The positive critical value is
The negative critical value is
The conclusion is

A. There is sufficient evidence to reject the claim that the mean score is equal to 76.
B. There is not sufficient evidence to reject the claim that the mean score is equal to 76.

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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