Arm Span (Women) According to Anthropometric Survey data, the distribution of arm spans for females is approximately Normal with a mean of 65.4 inches and a standard deviation of 3.2 inches. a. What percentage of women have arm spans less than 61 inches? b. Olympic swimmer, Dana Vollmer, won a bronze medal in the 100-meter butterfly stroke at the 2016 Olympics. An estimate of her arm span is 73 inches. What percentage of females have an arm span at least as long as Vollmer’s?
Arm Span (Women) According to Anthropometric Survey data, the distribution of arm spans for females is approximately Normal with a mean of 65.4 inches and a standard deviation of 3.2 inches. a. What percentage of women have arm spans less than 61 inches? b. Olympic swimmer, Dana Vollmer, won a bronze medal in the 100-meter butterfly stroke at the 2016 Olympics. An estimate of her arm span is 73 inches. What percentage of females have an arm span at least as long as Vollmer’s?
Solution Summary: The author calculates the percentage of women that have an arm span of less than 61 inches and the percentile corresponding to the z-score of 0.0838.
Arm Span (Women) According to Anthropometric Survey data, the distribution of arm spans for females is approximately
Normal with a mean of 65.4 inches and a standard deviation of 3.2 inches.
a. What percentage of women have arm spans less than 61 inches?
b. Olympic swimmer, Dana Vollmer, won a bronze medal in the 100-meter butterfly stroke at the 2016 Olympics. An estimate of her arm span is 73 inches. What percentage of females have an arm span at least as long as Vollmer’s?
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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