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EXAMPLE 15 Margin of error

Use the statistics observed in Example 14.

  1. Find the margin of error for the 99% confidence interval for mean sodium content per serving of all breakfast cereals.
  2. Interpret the margin of error.

Solution

  1. From Example 14c, we have:

    E=(2.947)(56.8/√16)=41.8

    The margin of error for mean sodium content is 41.8 grams.

  2. We can estimate the population mean sodium content per serving of all breakfast cereals to within 41.8 grams with 99% confidence.

NOW YOU CAN DO

Exercises 29–40.

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