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
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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6688f3d0-7504-4b34-846a-522e02c66cd1%2F55c673de-a99e-4e74-85be-37e05e1519b3%2Foda0neg_processed.png&w=3840&q=75)
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
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6688f3d0-7504-4b34-846a-522e02c66cd1%2F55c673de-a99e-4e74-85be-37e05e1519b3%2F4bdmksp_processed.png&w=3840&q=75)
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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