Question

population mean = 41.17 ; mean of sample means = 41.14 population standard deviation = 15.60...

population mean = 41.17 ; mean of sample means = 41.14

population standard deviation = 15.60 ; standard deviation of sample means = 4.26

a) From the above information , comment the result of :

i) population mean and mean of sample means;

ii) population standard deviation and standard deviation of sample means

Math   Statistics-And-Probability   
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Answer #1

i) population mean and mean of sample means

The means of sample mean is always equal to the population mean

Here also,

population mean = 41.17 ; mean of sample means = 41.14

ii) population standard deviation and standard deviation of sample means

The standard deviation of sample means is less than that of population standard deviation as

population standard deviation = 15.60 ; standard deviation of sample means = 4.26

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