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13.4 Exercise 26

Avg difficulty 2.5

A population has standard deviation approximately three. It is desired to determine the sample size n needed to ensure that with probability 0.95 the sample average will be within 0.5 of the mean value.

  1. Use the Chebyshev inequality to estimate the needed sample size.
  2. Use the normal approximation to estimate n (see Example 1 from "Simple Random Samples and Statistics").

Pfeiffer, Applied Probability, 13.4 Problems on Transform Methods, exercise 26

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Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.