Elementary Statistics: Picturing the World (7th Edition)

7th Edition

ISBN: 9780134683416

Author: Ron Larson, Betsy Farber

Publisher: PEARSON

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Textbook Question

Chapter 5, Problem 2CT

In Exercises 2-4, the random variable x is normally distributed with mean μ = 18 and standard deviation σ = 7.6.

2. Find each probability.

(a) P(x > 20)
(b) P(0 < x < 5)
(c) P(x < 9 or x > 27)

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, Problem 1CT

Chapter 5, Problem 3CT

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Reconsider the patient satisfaction data in Table 1. Fit a multiple regression model using both patient age and severity as the regressors. (a) Test for significance of regression. (b) Test for the individual contribution of the two regressors. Are both regressor variables needed in the model? (c) Has adding severity to the model improved the quality of the model fit? Explain your answer.

The output voltage of a power supply is assumed to be normally distributed. Sixteen observations taken at random on voltage are as follows: 10.35, 9.30, 10.00, 9.96, 11.65, 12.00, 11.25, 9.58, 11.54, 9.95, 10.28, 8.37, 10.44, 9.25, 9.38, and 10.85. (a) Test the hypothesis that the mean voltage equals 12 V against a two-sided alternative using a = 0.05. (b) Construct a 95% two-sided confidence interval on μ. (c) Test the hypothesis that σ² = 11 using α = 0.05. (d) Construct a 95% two-sided confidence interval on σ. (e) Construct a 95% upper confidence interval on σ. (f) Does the assumption of normality seem reasonable for the output voltage?

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Chapter 5 Solutions

Elementary Statistics: Picturing the World (7th Edition)

Ch. 5.1 - 1. Which normal curve has the greatest mean? 2....Ch. 5.1 - The scaled test scores for the New York State...Ch. 5.1 - A U.S. adult who is at least 20 years old is...Ch. 5.1 - Find the area under the standard normal curve to...Ch. 5.1 - Find the area under the standard normal curve to...Ch. 5.1 - Find the area under the standard normal curve...Ch. 5.1 - Find three real-life examples of a continuous...Ch. 5.1 - In a normal distribution, which is greater, the...Ch. 5.1 - What is the total area under the normal curve?Ch. 5.1 - What do the inflection points on a normal...

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In Exercises 2-4, the random variable x is normally distributed with mean μ = 18 and standard deviation σ = 7.6. 2. Find each probability . (a) P ( x > 20) (b) P (0 < x < 5) (c) P ( x < 9 or x > 27)

Solution Summary: The author explains how to obtain the probability of P(x>20) using the MINITAB software.

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Chapter 5 Solutions

In Exercises 2-4, the random variable x is normally distributed with mean μ = 18 and standard deviation σ = 7.6. 2. Find each probability . (a) P ( x &gt; 20) (b) P (0 &lt; x &lt; 5) (c) P ( x &lt; 9 or x &gt; 27)

Solution Summary: The author explains how to obtain the probability of P(x>20) using the MINITAB software.

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Chapter 5 Solutions

In Exercises 2-4, the random variable x is normally distributed with mean μ = 18 and standard deviation σ = 7.6. 2. Find each probability . (a) P ( x > 20) (b) P (0 < x < 5) (c) P ( x < 9 or x > 27)