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You are conducting a z test on a sample for which you observe a mean weight of 150 pounds. The population mean is 160, and the standard deviation is 100. Show your work for each question.

a. Calculate a z statistic for a sample of 30 people.

b. Repeat part (a) for a sample of 300 people.

c. Repeat part (a) for a sample of 3000 people

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