SOLUTION: (For this question, consider z values greater than 3 as atypical). A population of scores forms a normal distribution with a mean of μ = 80 and σ =20. Is it atypical to get a me

Algebra ->  Statistics  -> Describing-distributions-with-numbers -> SOLUTION: (For this question, consider z values greater than 3 as atypical). A population of scores forms a normal distribution with a mean of μ = 80 and σ =20. Is it atypical to get a me      Log On


   

Question 1136579: (For this question, consider z values greater than 3 as atypical).
A population of scores forms a normal distribution with a mean of μ = 80 and σ =20. Is it atypical to get a mean of 84 in a sample of n=4 scores?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

z+=+%28x-mu%29%2F%28sigma%2Fsqrt%28n%29%29

z+=+%2884-80%29%2F%2820%2Fsqrt%284%29%29

z+=+%2884-80%29%2F%2820%2F2%29

z+=+%2884-80%29%2F%2810%29

z+=+4%2F10

z+=+0.40

This z score is not larger than z = 3, so it is not atypical (aka unusual) to have a sample of 4 scores lead to a sample mean of 84