Question

A measurement is normally distributed with ?=31.5μ=31.5 and ?=4.8σ=4.8. Round answers below to three decimal places.

(a) The mean of the sampling distribution of ?¯x¯ for samples of size 15 is:____

(b) The standard deviation of the sampling distribution of ?¯x¯ for samples of size 15 is:____

Answer 1

Solution :

Given that ,

mean = = 31.5

standard deviation = = 4.8

n = 15

sample distribution of sample mean is ,

=

= 31.5

sampling distribution of standard deviation

=  / n = 4.8/ 15=1.2394

= 1.2394