12th Edition

ISBN: 9780100460461

Author: Anderson

Publisher: YUZU

Concept explainers

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could co…

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a…

Videos

Textbook Question

Chapter 9.7, 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.

Expert Solution & Answer

Chapter 9 Solutions

EBK STATISTICS FOR BUSINESS & ECONOMICS

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...

Knowledge Booster

$Statistics$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Solution Summary: The author explains how increasing the sample size affects the probability of making a Type II error.

Concept explainers

Videos

Chapter 9 Solutions