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A population of values has a normal distribution with μ=195.7μ=195.7 and σ=29.7σ=29.7. A random sample of...

A population of values has a normal distribution with μ=195.7μ=195.7 and σ=29.7σ=29.7. A random sample of size n=112n=112 is drawn.

  1. What is the mean of the distribution of sample means?
    μ¯x=μx¯=
  2. What is the standard deviation of the distribution of sample means? Round your answer to two decimal places.
    σ¯x=σx¯=

Q14

Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that ,

mean = = 195.7

standard deviation = = 29.7

n = 112

sample distribution of sample mean is ,

=

= 195.7

sampling distribution of standard deviation

=  / n = 29.7 / 112

= 2.81

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