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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?
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?
What is the area under the standard normal curve corresponding to -0.3?
Approximately 0.3821
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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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