3rd Edition

ISBN: 9780135163146

Author: Gould

Publisher: PEARSON

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A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Textbook Question

Chapter 6, Problem 100CRE

Quantitative SAT Scores, Normal and Binomial

The distribution of the math portion of SAT scores has a mean of 500 and a standard deviation of 100, and the scores are approximately Normally distributed.

a. What is the probability that one randomly selected person will have an SAT score of 550 or more?

b. What is the probability that four randomly selected people will all have SAT scores of 550 or more?

c. For 800 randomly selected people, what is the probability that 250 or more will have scores of 550 or more?

d. For 800 randomly selected people, on average how many should have scores of 550 or more? Round to the nearest whole number.

e. Find the standard deviation for part d. Round to the nearest whole number.

f. Report the range of people out of 800 who should have scores of 550 or more from two standard deviations below the mean to two standard deviations above the mean. Use your rounded answers to part d and e.

g. If 400 out of 800 randomly selected people had scores of 550 or more, would you be surprised? Explain.

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 99CRE

Chapter 6, Problem 101CRE

Chapter 6 Solutions

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Solution Summary: The author calculates the probability that a randomly selected person will have an SAT score of 550 or more.

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