A sample of n = 36 students was taken for a study on study
habits at one small university. National studies have shown that
for all university students the mean number of hours studied per
week has population mean 11 hours and population standard deviation
3 hours.
Use the formulas from the CLT to give the mean and standard error
for the distribution of Xbar.
Solution :
Given that ,
mean = = 11
standard deviation = = 3
n = 36
the mean distribution of = = 11
standard error = = / n = 3/ 36=0.5
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