Explanation Solution: The area under a normal curve over a interval represents the proportion of the population that tis contained within the interval. Finding an area under a normal curve is a crucial step in many statistical procedures. When finding an area under the standard normal curve, we use the letter z to indicate a value on the horizontal axis. We refer to such a value as a z-score. Since the mean of the standard normal distribution , which is located at the mode , is 0, the z-score at the mode of the curve is 0. Points on the horizontal axis to the left of the mode have negative z-score, and points to the right of the mode have positive z-score. Since, the area of the entire curve is equal to 1, we can find the area to the right of a z-score by finding the area to the left and subtracting from 1...

2nd Edition

ISBN: 9781259724275

Author: William Navidi, Barry Monk

Publisher: McGraw-Hill Education

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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.

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To describe:Finding a value corresponding to a given proportion of the area under the normal curve.

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Elementary Statistics 2nd Edition

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Finding a value corresponding to a given proportion of the area under the normal curve.

Solution Summary: The author explains that finding an area under a normal curve is crucial in many statistical procedures.

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