Probability and Statistical Inference (9th Edition)

9th Edition

ISBN: 9780321923271

Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Publisher: PEARSON

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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as p…

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Textbook Question

Chapter 7.2, Problem 7E

An automotive supplier is considering changing its electrical wire harness to save money. The idea is to replace a current 20-gauge wire with a 22-gauge wire. Because not all wires in the harness can be changed the new wire must work with the current wire splice process .To determine whether the new wire is compatible, random samples were selected and measured with a pull lest A pull test measures the force required to pull the spliced wires apart. The minimum pull force required by the customer is 20 pounds. Twenty observations of the forces needed for the current wire are

28.8 24.4 30.1 25.6 26.4 23.9 22.1 22.5 27.6 28.1

20.8 27.7 24.4 25.1 24.6 26.3 28.2 22.2 26.3 24.4

Twenty observations of the forces needed for the new wire

14.1 12.2 14.0 14.6 8.5 12.6 13.7 14.8 14.1 13.2

12.1 11.4 10.1 14.2 13.6 13.1 11.9 14.8 11.1 13.5

(a) Does the current wire meet the customer’s specifications?

(b) Find an approximate 90% confidence interval for the difference of the means for these two sets of wire.

(d) What is your recommendation for this company?

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 6E

Chapter 7.2, Problem 8E

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Chapter 7 Solutions

Probability and Statistical Inference (9th Edition)

Ch. 7.2 - An automotive supplier is considering changing its...

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