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

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