Answered: If the researcher decides to test this…

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

To test H0: σ=2.1versus H1: σ<2.1, a random sample of size n=21 is obtained from a population that is known to be normally distributed.

If the sample standard deviation is determined to be s=1.9, compute the test statistic. χ20

If the researcher decides to test this hypothesis at the α=0.05 level of significance, determine the critical value.

Draw a chi-squared distribution and depict the critical region

Will the researcher reject the null hypothesis? Why?

Choose the correct answer below.

A. Yes,because χ20<χ20.95.

B. No, because χ20<χ20.95.

C.No, because χ20>χ20.95.

D. Yes, because χ20>χ20.95

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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