It is generally believed that the heights of adult males in the us are approximately normally distributed with means 70 inches ( 5feet, 10 inches) and standard deviation 3 inches and that heights of adult females in the us are also approximately normally distributed with mean 64 inches( 5 feet 4 inches) and standard deviation 2.5 inches. A small university is considering custom ordering the beds for the dorm rooms. Answer the following questions about lengths of beds in dorm rooms at this university. The university plans on ordering custom sized beds such that 99% of male students are expected to fit in them when lying perfectly straight. What length beds should they order? round your answer to the nearest inch.
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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