Solve the problem. Round to the nearest tenth unless indicated otherwise.
-Assume that women have heights that are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. Find the value of the quartile Q3.
A) 67.8 inches
B) 64.3 inches
C) 65.3 inches
D) 66.1 inches

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Quizplus · Accepted Answer

The third quartile (Q3) is the 75th percentile of a normal distribution. Using the Z-score table, the Z-score for the 75th percentile is approximately 0.675. Using the formula: Q3 = mean + (Z * standard deviation), we get Q3 = 63.6 + (0.675 * 2.5) = 65.2875, which rounds to 65.3 inches.

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