Explanation Approach: Assume a normal distribution has a mean of μ and a standard deviation of σ . We use the equation z = x − μ σ to convert a value x in the nonstandard distribution to a z -score. Calculation: In Example 5, Two data from two different era has been compared. Note that the mean batting average and the standard deviation used in calculating Ty Cobb’s and Ted Williams’ z -scores are not the same since they belong to two different time period. Hence, the z -scores depends on the mean batting average in their time period, the standard deviation in their time period and the points scored by them

6th Edition

ISBN: 9780134434681

Author: Tom Pirnot

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 14.4, Problem 84E

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The great American athletes played in the Negro leagues can be compared with the great white athletes played in the same event by the method that has been used to compare Ty Cobb and Ted Williams in Example 5.

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Chapter 14.4, Problem 83E

Chapter 14.4, Problem 85E

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Chapter 14 Solutions

Mathematics All Around (6th Edition)

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The great American athletes played in the Negro leagues can be compared with the great white athletes played in the same event by the method that has been used to compare Ty Cobb and Ted Williams in Example 5.

Solution Summary: The author explains that the method used to compare Ty Cobb and Ted Williams in Example 5 does not compare the great American athletes and great white athletes.

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To Discuss: The great American athletes played in the Negro leagues can be compared with the great white athletes played in the same event by the method that has been used to compare Ty Cobb and Ted Williams in Example 5.

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Chapter 14 Solutions

To Discuss:

The great American athletes played in the Negro leagues can be compared with the great white athletes played in the same event by the method that has been used to compare Ty Cobb and Ted Williams in Example 5.