Fundamentals of Statistics (5th Edition)

5th Edition

ISBN: 9780134508306

Author: Michael Sullivan III

Publisher: PEARSON

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Textbook Question

Chapter 7.2, Problem 27AYU

In Problems 23–32, assume that the random variable X is normally distributed, with mean μ = 50 and standard deviation σ = 7. Compute the following probabilities. Be sure to draw a normal curve with the area corresponding to the probability shaded.

27. P(40 < X < 65)

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 7.2, Problem 26AYU

Chapter 7.2, Problem 28AYU

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Chapter 7 Solutions

Fundamentals of Statistics (5th Edition)

Ch. 7.1 - A _____ _____ _____ is an equation used to compute...Ch. 7.1 - A _______ is an equation, table, or graph used to...Ch. 7.1 - True or False: The normal curve is symmetric about...Ch. 7.1 - The area under the normal curve to the right of ...Ch. 7.1 - The points at x = _____ and x = _____ are the...Ch. 7.1 - The area under a normal curve can be interpreted...Ch. 7.1 - For Problems 712, determine whether the graph can...Ch. 7.1 - For Problems 712, determine whether the graph can...Ch. 7.1 - For Problems 712, determine whether the graph can...Ch. 7.1 - Prob. 10AYU

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In Problems 23–32, assume that the random variable X is normally distributed , with mean μ = 50 and standard deviation σ = 7. Compute the following probabilities. Be sure to draw a normal curve with the area corresponding to the probability shaded . 27. P (40 < X < 65)

Solution Summary: The author explains the formula to convert X values into z score. The value of Pleft is obtained by finding the difference between the area of –1.43 and to the left of 2.

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Chapter 7 Solutions

In Problems 23–32, assume that the random variable X is normally distributed , with mean μ = 50 and standard deviation σ = 7. Compute the following probabilities. Be sure to draw a normal curve with the area corresponding to the probability shaded . 27. P (40 &lt; X &lt; 65)

Solution Summary: The author explains the formula to convert X values into z score. The value of Pleft is obtained by finding the difference between the area of –1.43 and to the left of 2.

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Chapter 7 Solutions

In Problems 23–32, assume that the random variable X is normally distributed , with mean μ = 50 and standard deviation σ = 7. Compute the following probabilities. Be sure to draw a normal curve with the area corresponding to the probability shaded . 27. P (40 < X < 65)