Explanation Given: The mean number of hours a student of college studies and the standard deviation are 7 hours and 5.3 hours, respectively. Formula used: The z -score of a data item can be found out using the following formula: z − s c o r e = Data item − mean Standard deviation Calculation: A z -score of a data item shows how much above or below it is from the mean of the data. It describes how many standard deviations more than or less than the value of the mean, does the data item lie. In the above question, we need to find out the z -score for 17.6 hours to find the percentage of people who study more than this time. z − s c o r e 17.6 = 17 .6 − 7 5.3 = 10

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ISBN: 9780135961841

Author: Blitzer

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 12, Problem 17T

To determine

To calculate: The total percentage of the students of college who have study hours more than 17.6 hours each week, using percentage rule of normal distribution

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Chapter 12, Problem 16T

Chapter 12, Problem 18T

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THINKING MATHEMATICALLY

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