Question

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 1

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:

Step-by-step 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⁻ =
`(S.D)/(√(n) )`

Given standard deviation of population 'σ' = 5

=
`(5)/(√(100) ) = 0.5`