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The standard deviation of the population of individual Digit Span scores is 3.00. (The Digit Span test is a sub-test of the Wechsler IQ test). A random sample of 20 subjects yielded a mean Digit Span score of 7.25.
a. Calculate the standard error of the mean.
b. Test the hypothesis, using the z test, that the sample could be representative of a population whose mean is known to be 10.00.
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