SOLUTION: Consider a large population of scores from a bimodal distribution with mean μ = 64 and standard deviation σ = 16. Imagine that you randomly selected a sample from that po

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Question 457120: Consider a large population of scores from a bimodal distribution with mean μ = 64 and standard deviation σ = 16. Imagine that you randomly selected a sample from that population that contained 47 scores. What is the PROBABILITY that the mean of the sample is above 70?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Consider a large population of scores from a bimodal distribution with mean μ = 64 and standard deviation σ = 16. Imagine that you randomly selected a sample from that population that contained 47 scores. What is the PROBABILITY that the mean of the sample is above 70?
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t(70) = (70-64)/[16/sqrt(47)] = 2.5709
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P(x-bar > 70) = P(t > 2.5709 when df 46) = 0.0067
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Cheers,
Stan H.