SOLUTION: A sample of n = 4 scores is obtained from a population with m = 70 and s = 8. If the sample mean corresponds to a z-score of 2.00, then what is the value of the sample mean?

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Question 658155: A sample of n = 4 scores is obtained from a population with m = 70 and s = 8. If the sample mean corresponds to a z-score of 2.00, then what is the value of the sample mean?
Answer by stanbon(75887) About Me  (Show Source):
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A sample of n = 4 scores is obtained from a population with m = 70 and s = 8. If the sample mean corresponds to a z-score of 2.00, then what is the value of the sample mean?
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The std of the sample means is 8/sqrt(4) = 4
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The mean of the sample means is the same as the mean of the population.
z(sample mean) = (sample mean - 70)/4
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2 = (sample mean - 70)/4
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sample mean = 8+70 = 78
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Cheers,
Stan H.
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