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 9.6, Problem 52E

Refer to exercise 48. Assume the firm selects a sample of 50 surveys and repeat parts (b) and (c). What observation can you make about how increasing the sample size affects the probability of making a Type II error?

48. Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed within 15 minutes or less. If more time is required, a premium rate is charged. With a sample of 35 surveys, a population standard deviation of 4 minutes, and a level of significance of .01, the sample mean will be used to test the null hypothesis H₀: μ ≤ 15.

a. What is your interpretation of the Type II error for this problem? What is its impact on the firm?
b. What is the probability of making a Type II error when the actual mean time is μ = 17 minutes?
c. What is the probability of making a Type II error when the actual mean time is μ = 18 minutes?
d. Sketch the general shape of the power curve for this test.

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 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 explains how increasing the sample size affects the probability of making a Type II error.

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Chapter 9 Solutions