Question

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.

a) μx_=

b) σx_=

c)  Can we conclude that the sampling distribution of the sample mean is approximately normal? Yes or No

Answer 1

a)

= = 27

b)

= / sqrt(n)

= 5 / sqrt( 13)

= 1.387

c)

Since sample size n = 13 which is less than 30 , the central limit theorem can not be used.

No

We can not conclude that the sampling distribution of the sample mean is approximately normal