A random sample of size 13 was taken from a population with a population mean 27 and a population standard deviation 5.
Determine each of the following about the sampling distribution of the sample mean.
Awnser A, B, C
Round your answer to at least 3 decimal places where appropriate.
c) Can we conclude that the sampling distribution of the sample mean is approximately normal? Yes or No
= = 27
= / sqrt(n)
= 5 / sqrt( 13)
Since sample size n = 13 which is less than 30 , the central limit theorem can not be used.
We can not conclude that the sampling distribution of the sample mean is approximately normal
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