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) A measurement is normally distributed with ?=30 μ = 30 and ?=6 σ = 6...

) A measurement is normally distributed with ?=30 μ = 30 and ?=6 σ = 6 . Round answers below to three decimal places. (a) The mean of the sampling distribution of ?¯ x ¯ for samples of size 11 is: (b) The standard deviation of the sampling distribution of ?¯ x ¯ for samples of size 11 is:

Solutions

Expert Solution

Solution:

Given that ,

= 30

= 6

A sample of size n is taken from this population.

Let be the mean of sample.

The sampling distribution of the is approximately normal with

Mean() =   

SD() =      

Given , n = 11

a) The mean of the sampling distribution of

=   = 30 = 30.000

b)The standard deviation of the sampling distribution of

=   = 6 / 11 =  1.809

milcah answered 5 months ago
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