Suppose samples of size 100 are drawn randomly from a population that has a mean of 20 and a standard deviation of 5. What are the values of the mean and the standard deviation of the distribution of the sample means

Answer :

Answer:

a) The mean of the sampling distribution of means μₓ = μ = 20

b) The standard deviation of the sample σₓ⁻ = 0.5

Step-by-step explanation:

Explanation:-

Given sample size 'n' =100

Given  mean of the Population 'μ' = 20

Given standard deviation of population 'σ' = 5

a) The mean of the sampling distribution of means μₓ = μ

                                                                                     μₓ = 20

b) The standard deviation of the sample σₓ⁻   =    [tex]\frac{S.D}{\sqrt{n} }[/tex]

    Given standard deviation of population 'σ' = 5

                                                                              = [tex]\frac{5}{\sqrt{100} } = 0.5[/tex]

   

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