7th Edition

ISBN: 9780135901021

Author: Larson

Publisher: PEARSON EDUCATION (COLLEGE)

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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 5.2, Problem 3E

Computing Probabilities for Normal Distributions In Exercises 1–6, the random variable x is normally distributed with mean μ = 174 and standard deviation σ = 20. Find the indicated probability.

3. P(x > 182)

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 5.2, Problem 2E

Chapter 5.2, Problem 4E

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Computing Probabilities for Normal Distributions In Exercises 1–6, the random variable x is normally distributed with mean μ = 174 and standard deviation σ = 20 . Find the indicated probability . 3. P ( x > 182)

Solution Summary: The author explains that the probability of P(x>182) is 0.3446. The area of the shaded region is found by converting the x value into z score.

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Chapter 5 Solutions

Computing Probabilities for Normal Distributions In Exercises 1–6, the random variable x is normally distributed with mean μ = 174 and standard deviation σ = 20 . Find the indicated probability . 3. P ( x &gt; 182)

Solution Summary: The author explains that the probability of P(x>182) is 0.3446. The area of the shaded region is found by converting the x value into z score.

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Chapter 5 Solutions

Computing Probabilities for Normal Distributions In Exercises 1–6, the random variable x is normally distributed with mean μ = 174 and standard deviation σ = 20 . Find the indicated probability . 3. P ( x > 182)