The Medical College Admission Test (M.AT) is known to be Normally distributed with a mean of 500 and standard deviation 6.5. Describe the distribution of the mean score for a simple random sample of 10 test results.
Solution :
Given that ,
mean = = 500
standard deviation = = 6.5
n = 10
sample distribution of sample mean is ,
=
= 500
sampling distribution of standard deviation
= / n = 6.5/ 10
= 2.055
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