A population of values has a normal distribution with μ=220 and
σ=3.1. You intend to draw a random sample of size n=114.
What is the mean of the distribution of sample means?
μ¯x=
What is the standard deviation of the distribution of sample
means?
(Report answer accurate to 2 decimal places.)
σ¯x=
Ans.
Central Limit Theorem :-
The central limit theorem in statistics states that, given a sufficiently large sample size, the sampling distribution of the mean for a variable will approximate a normal distribution regardless of that variable’s distribution in the population.
Sample Mean :-
Sample Standard deviation :-
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