Given a population with a mean of µ = 270 and a standard deviation σ = 29, assume the central limit theorem applies when the sample size is n ≥ 25. A random sample of size n = 220 is obtained. Calculate σx¯
Solution :
Given that,
mean =
= 270
standard deviation =
= 29
n = 220
The sampling distribution of mean and standard deviation is ,

= 270

=
/
n = 29 /
220 = 1.9552
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A population of values has a normal distribution with
μ=121.3μ=121.3 and σ=57.2σ=57.2. You intend to draw a random sample
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What is the mean of the distribution of sample means?
μ¯x=μx¯=
What is the standard deviation of the distribution of sample
means?
(Report answer accurate to 2 decimal places.)
σ¯x=σx¯=
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