Normal Distribution of Heights Quiz
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Questions and Answers

The heights of American men aged 18 to 24 are approximately normally distributed with mean 68 inches and standard deviation 2.5 inches. Only about 5% of young men have heights outside the range?

  • 65.5 inches to 70.5 inches
  • 63 inches to 73 inches (correct)
  • 60.5 inches to 75.5 inches
  • 58 inches to 78 inches
  • None of the above
  • What is the area under the standard normal curve corresponding to -0.3?

    Approximately 0.3821

    Study Notes

    Normal Distribution of Heights

    • Heights of American men aged 18 to 24 follow a normal distribution.
    • Mean height: 68 inches.
    • Standard deviation: 2.5 inches.
    • Approximately 5% of young men are outside the range of 63 inches to 73 inches.

    Standard Normal Curve

    • Standard normal curve is used to analyze data in terms of standard deviations.
    • The area under the curve for -0.3 corresponds to a specific probability value, which can be found using Z-tables.

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    Description

    Test your understanding of the normal distribution as it applies to the heights of American men aged 18 to 24. This quiz covers concepts such as mean, standard deviation, and the standard normal curve, including the use of Z-tables for probability values.

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