3rd Edition

ISBN: 9780135163146

Author: Gould

Publisher: PEARSON

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

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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 6, Problem 36SE

SAT Scores in Florida According to the 2017 SAT Suite of Assessments Annual Report, the average ERW (English, Reading, Writing) SAT score in Florida was 520. Assume the scores are Normally distributed with a standard deviation of 100. Answer the following including an appropriately labeled and shaded Normal curve for each question.

a. What is the probability that an ERW SAT taker in Florida scored 500 or less?

b. What percentage of ERW SAT takers in Florida scored between 500 and 650?

c. What ERW SAT score would correspond with the 40th percentile in Florida?

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 6, Problem 35SE

Chapter 6, Problem 37SE

Chapter 6 Solutions

INTRODUCTORY STATISTICS (LOOSELEAF)

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Solution Summary: The author determines the percentage probability of Florida ERW SAT takers who scored 500 or less.

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