Kindly help me with just part D.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Kindly help me with just part D.

QUESTION FIVE
The marks of DMT students results in June 2020 sessional examinations were
normally distributed with a mean pass mark of 9 and a standard deviation pass
mark of 0.15. After moderation, a sample of 30 papers was selected to see if the
mean pass mark had changed. The mean pass mark of the sample was 8.95
a. Find the 95% confidence interval of students 'mean mark
b. Calculate for the critical regions of the 95% confidence intervals
c. Using your results in "a" and "b" above, is there evidence of a change in the mean
pass mark of the DMT students
d. Why was the concept of central limit theorem vital in the above calculations
Transcribed Image Text:QUESTION FIVE The marks of DMT students results in June 2020 sessional examinations were normally distributed with a mean pass mark of 9 and a standard deviation pass mark of 0.15. After moderation, a sample of 30 papers was selected to see if the mean pass mark had changed. The mean pass mark of the sample was 8.95 a. Find the 95% confidence interval of students 'mean mark b. Calculate for the critical regions of the 95% confidence intervals c. Using your results in "a" and "b" above, is there evidence of a change in the mean pass mark of the DMT students d. Why was the concept of central limit theorem vital in the above calculations
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