9th Edition

ISBN: 9780136415893

Author: Tannenbaum

Concept explainers

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

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Textbook Question

Chapter 17, Problem 42E

Exercises 41 through 44 refer to the following: 2500 students take a college entrance exam. The scores on the exam have an approximately normal distribution with mean μ = 52 points and standard deviation σ = 11 points.

a. Estimate the percentage of students scoring between 30 and 74 points.

b. Estimate the percentage of students scoring 30 points or less.

c. Estimate the percentage of students scoring 19 points or less.

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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Chapter 17, Problem 41E

Chapter 17, Problem 43E

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Chapter 17 Solutions

MYLAB MATH FOR EXCURSIONS IN MATHEMATIC

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Solution Summary: The author explains that the percentage of students scoring between 30 and 74 points is 95%.

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