Explanation Given: The average healing time of a certain type of incision is given by normal distribution . The average healing time is 240 hours with the standard deviation of 20 hours. Calculation: The average healing time is μ = 240 hours with the standard deviation of σ = 20 hours. The healing time of the certain type of incision for 8 days, that is, 8 ( 24 ) = 192 hours. Therefore, the value of x is equal to x = 192 . Substitute the value of x = 192 , μ = 240 and σ = 20 in the general formula of the standard distribution which is given by z = x − μ σ , where σ is the standard deviation. Obtain the value of z by dividing the time between x = 192 hours and μ = 240 hours by the standard distribution of σ = 20 as follows, z = 192 − 240 20 = − 48 20 = − 2

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ISBN: 9780135903896

Author: Barnett

Publisher: PEARSON

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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.

Chapter 11.4, Problem 81E

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To find: The percentage of the people having the incision would heal in 8 days or less.

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Chapter 11.4, Problem 80E

Chapter 11.4, Problem 82E

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The percentage of the people having the incision would heal in 8 days or less.

Solution Summary: The author calculates the average healing time of a certain type of incision, which is 240 hours with the standard deviation of 20 hours.

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To find: The percentage of the people having the incision would heal in 8 days or less.

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