Answered: Random samples that are drawn…

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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Random samples that are drawn independently from two normally distributed populations yielded the following statistics.

Group 1	Group 2
=n114	=n220
=x1252.5	=x2216
=s21357.21	=s22174.24

(The first row gives the sample sizes, the second row gives the sample means, and the third row gives the sample variances.)

Can we conclude, at the

0.05

significance level, that the population variance,

σ21

, for group 1 is greater than the population variance,

σ22

, for group 2?

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

The null hypothesis:	H0:
The alternative hypothesis:	H1:
The type of test statistic:	(Choose one) Z t Chi square F

The value of the test statistic: (Round to at least three decimal places.)
The critical value at the 0.05 level of significance: (Round to at least three decimal places.)
Can we conclude that the population variance for group 1 is greater than the population variance for group 2?	Yes	No

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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