Bundle: Statistics for Business & Economics, Loose-leaf Version, 13th + MindTap Business Statistics with XLSTAT, 2 terms (12 months) Printed Access Card

13th Edition

ISBN: 9781337127264

Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran

Publisher: Cengage Learning

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Textbook Question

Chapter 9.3, Problem 17E

The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April, 12, 2012). Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries.

a. State the null and alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the goods-producing industries.
b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value.
c. With α = .05 as the level of significance, what is your conclusion?
d. Repeat the preceding hypothesis test using the critical value approach.

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 9.3, Problem 16E

Chapter 9.3, Problem 18E

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iid 1. The CLT provides an approximate sampling distribution for the arithmetic average Ỹ of a random sample Y₁, . . ., Yn f(y). The parameters of the approximate sampling distribution depend on the mean and variance of the underlying random variables (i.e., the population mean and variance). The approximation can be written to emphasize this, using the expec- tation and variance of one of the random variables in the sample instead of the parameters μ, 02: YNEY, · (1 (EY,, varyi n For the following population distributions f, write the approximate distribution of the sample mean. (a) Exponential with rate ẞ: f(y) = ß exp{−ßy} 1 (b) Chi-square with degrees of freedom: f(y) = ( 4 ) 2 y = exp { — ½/ } г( (c) Poisson with rate λ: P(Y = y) = exp(-\} > y! y²

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Chapter 9 Solutions

Bundle: Statistics for Business & Economics, Loose-leaf Version, 13th + MindTap Business Statistics with XLSTAT, 2 terms (12 months) Printed Access Card

Ch. 9.1 - The manager of the Danvers-Hilton Resort Hotel...Ch. 9.1 - The manager of an automobile dealership is...Ch. 9.1 - A production line operation is designed to fill...Ch. 9.1 - Because of high production-changeover time and...Ch. 9.2 - Duke Energy reported that the cost of electricity...Ch. 9.2 - The label on a 3-quart container of orange juice...Ch. 9.2 - Carpetland salespersons average 8000 per week in...Ch. 9.2 - Suppose a new production method will be...Ch. 9.3 - consider the following hypothesis test: H0: 20...Ch. 9.3 - Consider the following hypothesis test: H0: 25...

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Solution Summary: The author identifies the null and alternative hypotheses that are most appropriate for this situation.

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