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Question: a physician employed by a large corporation believes that due...

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A physician employed by a large corporation believes that due to an increase in sedentary life in the past two decades, middle-aged men have become fatter. In 1995, the corporation measured the percentage of fat in their employees. For the middle-aged men, the scores were normally distributed, with a mean of 22% and a standard deviation of 6%. To test her hypothesis, the physician measures the fat percentage in a random sample of 200 middle-aged men currently employed by the corporation and finds they have an average fat percentage of 22.8%. She tests:

H0: µ = 22

Ha: µ > 22

  1. Report the z test statistic, to 2 decimal places.
  2. Report the p-value, to 2 decimal places.
  3. On the basis of these data, can we conclude that middle-aged men employed by the corporation have become fatter? Use α = 0.05 in making your decision.

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