Question

In: Statistics and Probability

A normal distributed population has parameters μ=112.2 and σ=23.9. If a random sample of size n=98...

A normal distributed population has parameters μ=112.2 and σ=23.9. If a random sample of size n=98 is selected,

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

Solutions

Expert Solution

Solution :

Given that ,

mean = = 112.2

standard deviation = = 23.9

n = 98

sample distribution of sample mean is ,

=

= 112.2

sampling distribution of standard deviation

=  / n = 23.9 / 98

= 2.41


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