The ages of undergraduate students at two universities (one in the east and one in the west) are being compared. Researchers want to know if there is a difference in the mean age of students at the two universities. The population standard deviations are known. The following data shows the results of samples collected at each institution: School Location n (sample size) sample mean (X )

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The ages of undergraduate students at two universities (one in the east
and one in the west) are being compared. Researchers want to know if
there is a difference in the mean age of students at the two universities.
The population standard deviations are known. The following data shows
the results of samples collected at each institution:
School Location
n (sample size)
sample mean (X )
population standard deviation
West
33
25.78
6.29
East
35
23.16
7.52
What is the value of the test statistic for the previous problem? (Enter
your answer as a positive value even if you calculated a negative
test statistic value i.e. if you calculated -1.311 you should enter 1.311).
Round your answer to 3 decimal places.
Transcribed Image Text:The ages of undergraduate students at two universities (one in the east and one in the west) are being compared. Researchers want to know if there is a difference in the mean age of students at the two universities. The population standard deviations are known. The following data shows the results of samples collected at each institution: School Location n (sample size) sample mean (X ) population standard deviation West 33 25.78 6.29 East 35 23.16 7.52 What is the value of the test statistic for the previous problem? (Enter your answer as a positive value even if you calculated a negative test statistic value i.e. if you calculated -1.311 you should enter 1.311). Round your answer to 3 decimal places.
Continuing with the previous problem, what is your decision (reject the
null hypothesis or do not reject the null hypothesis)? Fill in the blank with
either "reject" or "do not reject". Use a 5% significance level.
Transcribed Image Text:Continuing with the previous problem, what is your decision (reject the null hypothesis or do not reject the null hypothesis)? Fill in the blank with either "reject" or "do not reject". Use a 5% significance level.
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