Statistics for Business and Economics (13th Edition)

13th Edition

ISBN: 9780134506593

Author: James T. McClave, P. George Benson, Terry Sincich

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 5.3, Problem 5.29ACI

Levelness of concrete slabs. Geotechnical engineers use water-level “manometer” surveys to assess the levelness of newly constructed concrete slabs. Elevations are typically measured at eight points on the slab; of interest is the maximum differential between elevations. The Journal of Performance of Constructed Facilities (February 2005) published an article on the levelness of slabs in California residential developments. Elevation data collected for more than 1 ,300 concrete slabs before tensioning revealed that maximum differential, x, has a mean of µ = .53 inch and a standard deviation of σ = .193 inch. Consider a sample of n = 50 slabs selected from those surveyed and let x ¯ represent the mean of the sample.

a. Fully describe the sampling distribution of x ¯ .
b. Find P ( x ¯ ≻ .58 ) .
c. The study also revealed that the mean maximum differential of concrete slabs measured after tensioning and loading is µ = .58 inch. Suppose the sample data yield x ¯ = .59 inch. Comment on whether the sample measurements were obtained before tensioning or after tensioning and loading.

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 5.3, Problem 5.28ACI

Chapter 5.3, Problem 5.30ACI

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Chapter 5 Solutions

Statistics for Business and Economics (13th Edition)

Ch. 5.1 - The probability distribution shown here describes...Ch. 5.1 - Consider the population described by the...Ch. 5.1 - Refer to Exercise 5.3 and find E (x) = Then use...Ch. 5.1 - Refer to Exercise 5.3. Assume that a random sample...Ch. 5.1 - In Example 5.3 we used a computer to generate 1...Ch. 5.2 - Consider the following probability distribution: x...Ch. 5.2 - Consider the following probability distribution: x...Ch. 5.2 - Consider the following probability distribution: x...Ch. 5.2 - Refer to Exercise 5.31. a. Show that x is an...Ch. 5.2 - Refer to Exercise 5.3. a. Find the sampling...

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