To determine The percent of the cement bags that weigh more than 62 lb using Empirical rule Explanation Given: The weights of cement bags battery follow normal distribution with mean 60 lb and standard deviation 1 lb Concept used: Empirical rule: For a normal distribution with mean µ and standard deviation σ , 68% of values lie within one standard deviation from the mean 95% of values lie within two standard deviations from the mean 99.7% of values lie within three standard deviations from the mean z-score: For any particular value of x , the z -score tells the number of standard deviations above or below the mean. The formula is given by, z = x − μ σ Where μ is the mean of the population and σ is the standard deviation of the population. Calculation: Here, mean μ is 60 lb and standard deviation σ is 1 lb Substitute μ as 60 lb, x as 62 lb and σ as 1 lb z = x − μ σ

11th Edition

ISBN: 9780134437705

Author: Washington

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 22.4, Problem 8E

To determine

The percent of the cement bags that weigh more than 62 lb using Empirical rule

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Chapter 22.4, Problem 7E

Chapter 22.4, Problem 9E

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