Question
In: Math
) 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 agoRelated Solutions
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