The population mean score for a particular exam is 74 and the standard deviation is 9....
The population mean score for a particular exam is 74 and the standard deviation is 9. What are the mean and standard deviation of the class average score for classes composed of 36 students randomly drawn from the population?
Homework Answers
Solution:
Given: The population mean score for a particular exam is 74 and the standard deviation is 9.
That is: Mean = 
and
Standard deviation = 
We have to find the mean and standard deviation of the class average score for classes composed of 36 students randomly drawn from the population.
n = sample size = 36
Since sample mean is an unbiased estimator of population mean.
Thus mean of the class average score
and standard deviation of average score is:
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