Explanation If one construct a histogram for a population whose sample size constantly increases, there comes a point where the graph is symmetric. The graph’s symmetry increases with the sample size. If the graph is then made for the entire population, the histogram approaches to a normal distribution. In a normal distribution, the values are plotted above or below the mean, which is the middle value...

19th Edition

ISBN: 9780135323038

Author: Blitzer

Publisher: Pearson Custom Publishing

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When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calcul…

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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 12.4, Problem 1CVC

To determine

To fill: The blank in the given statement, “In a normal distribution, approximately _______% of the data items fall within 1 standard deviation of the mean, approximately _% of the data items fall within 2 standard deviations of the mean, and approximately _______% of the data items fall within 3 standard deviations of the mean.”

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Chapter 12.4, Problem 7CP

Chapter 12.4, Problem 2CVC

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Chapter 12 Solutions

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Solution Summary: The author explains that in a normal distribution, the values are plotted above or below the mean, which is the middle value.

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