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4. A school nurse measured the heights of all 15-year-old male students in the school. By the end of the day, he measured the

4. A school nurse measured the heights of all 15-year-old male students in the school. By the end of the day, he measured the heights of 57 boys and calculated a mean of 68.1 inches. He knows that for this population = 67 inches and = 3.19 inches. a. Calculate the z-score for the sample mean. b. Is it likely or unlikely that this sample was drawn from the population? c. Why or why not?

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