Question 6.387

42. Calories per Gram. The histogram shows the number of calories per gram for 961 food items. Assume that the population mean calories per gram is 2.25 with a standard deviation of 2.

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  1. Assuming that the data follow a normal distribution, what is the 5th percentile of calories per gram?
  2. Comment on whether your answer from (a) makes any sense.
  3. The actual 5th percentile for this data set is 0.2 calorie per gram. Looking at the histogram, does this make more sense than your answer from (a)?
  4. Why is your answer in (a) wrong?