13th Edition

ISBN: 9780357127193

Author: SMITH

Publisher: CENGAGE L

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 14.3, Problem 35PS

In Problems 35–39, suppose that, for a certain mathematics class, the scores are normally distributed with a mean of 75 and a standard deviation of 8. The teacher wishes to give A’s to the top 6% of the students and F’s to the bottom 6%. The next 16% in either direction will be given B’s and D’s, with the other students receiving C’s. Find the bottom cutoff for the grades in Problems 35–38.

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 14.3, Problem 34PS

Chapter 14.3, Problem 36PS

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Chapter 14 Solutions

NATURE OF MATHEMATICS WEBASSIGN ACCESS

Ch. 14.1 - IN YOUR OWN WORDS Name and describe several...Ch. 14.1 - IN YOUR OWN WORDS Distinguish between a frequency...Ch. 14.1 - IN YOUR OWN WORDS Write down what you think the...Ch. 14.1 - Prob. 4PS Ch. 14.1 - Consider the line graph shown in Figure 14.11. a....Ch. 14.1 - Prob. 6PS Ch. 14.1 - Consider the line graph shown in Figure 14.13. a....Ch. 14.1 - Prob. 8PS Ch. 14.1 - The amount of electricity used in a typical...Ch. 14.1 - At a well-known major university, the career...

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Solution Summary: The author explains how the grade distribution for a mathematics class is distributed normally. Grade A is given to the top 6% of the students.

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Chapter 14 Solutions