You repeatedly draw samples of n = 100 from a population with a mean of 75 and a standard deviation of 4.5. What is the z-score for a sample mean of 64.7?
Solution:
Given that,
= / n = 4.5 / 100 = 0.45
z-score = ( - ) /
= (64.7 - 75) / 0.45
= - 22.89
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