SOLUTION: A normally distributed population of scores has μ = 100 and σ = 5. Based on this information, solve the following questions: a. If a sample consisting of n=36 scores is

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Question 628196: A normally distributed population of scores has μ = 100 and σ = 5. Based on this information, solve the following questions:
a. If a sample consisting of n=36 scores is selected from this population, what is the probability that the sample will have M=98 or greater?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

P(x ≥ 98) = 1 - P(x≤ 97.5) = 1-.0025 = .9975   |Using 97.5 as a lower limit

*Note: P(x ≤ 97.5) = P(t = %28X+-+mu%29%2F%28sigma%2Fsqrt%28n%29%29+=+-2.5%2F%285%2F6%29+=+-3

 with df = 35, P( t ≤ -3) = .0025  (stattrek.com  T Distribution Calculator)