We know that population mean μ is 30 and population standard deviation σ is 5.
Further average or mean is computed for all sample means. So, the mean of sampling distribution of mean μxbar is calculated.
The property of sampling distribution is that mean of all possible sample means or mean of of sampling distribution of mean μxbar is equal to the population mean μ.
Overtime is over 40 so subtract 40 from 54 and get 54-40=14 14 hours hovertime so multipliy usuall pay by 40 (since worked 40 normal hours) then add to overtime pay by 14 hours so
(13.5 times 40)+(13.5 times 1.5 times 14)= 540+283.5=823.5 answer is $823.50
