Girls’ and Women’s Heights According to the National Health Center, the heights of 6-year-old girls are Normally distributed with a mean of 45 inches and a standard deviation of 2 inches. a. In which percentile is a 6-year-old girl who is 46.5 inches tall? b. If a 6-year-old girl who is 46.5 inches tall grows up to be a woman at the same percentile of height, what height will she be? Assume women are distributed as N 64 , 2.5 .
Girls’ and Women’s Heights According to the National Health Center, the heights of 6-year-old girls are Normally distributed with a mean of 45 inches and a standard deviation of 2 inches. a. In which percentile is a 6-year-old girl who is 46.5 inches tall? b. If a 6-year-old girl who is 46.5 inches tall grows up to be a woman at the same percentile of height, what height will she be? Assume women are distributed as N 64 , 2.5 .
Solution Summary: The author explains the steps to determine the measurement from a percentile using the standard normal table in Appendix A.
Girls’ and Women’s Heights According to the National Health Center, the heights of 6-year-old girls are Normally distributed with a mean of 45 inches and a standard deviation of 2 inches.
a. In which percentile is a 6-year-old girl who is 46.5inches tall?
b. If a 6-year-old girl who is 46.5inches tall grows up to be a woman at the same percentile of height, what height will she be? Assume women are distributed as
N
64
,
2.5
.
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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