MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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An examination in psychology has been taken by psychology majors and also by some students from other majors. It is widely believed that the scores for both groups are normally distributed. A random sample of 

25

 examinations completed by psychology majors and an independent random sample of 

20

 examinations completed by students from other majors are selected. Among sampled students, the psychology majors scored a mean of 

522.6

 points with a variance of 

9139.36

, and the students from other majors scored a mean of 

507.7

 points with a variance of 

17004.16

. Can we conclude, at the 

0.05

 significance level, that the population variance of scores of psychology majors, 

σ21

, is less than 

σ22

, the population variance of scores of other majors?

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. (If necessary, consult a list of formulas.)

 

The null hypothesis:
H0:
 
The alternative hypothesis:
H1:
 
The type of test statistic: (Choose one)ZtChi squareF      
     
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 variance of all scores of psychology majors is less than the variance of all scores of other majors?
 
Yes
 
 
No
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