Modern Business Statistics with Microsoft Excel (MindTap Course List)

5th Edition

ISBN: 9781285433301

Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams

Publisher: Cengage Learning

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Textbook Question

Chapter 9.1, Problem 2E

The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is 14 automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period.

a. Develop the null and alternative hypotheses most appropriate for this situation.
b. Comment on the conclusion when H₀ cannot be rejected.
c. comment on the conclusion when H₀ can be rejected.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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Chapter 9.1, Problem 1E

Chapter 9.1, Problem 3E

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Chapter 9 Solutions

Modern Business Statistics with Microsoft Excel (MindTap Course List)

Ch. 9.1 - 1. The manager of the Danvers-Hilton Resort Hotel...Ch. 9.1 - 2. The manager of an automobile dealership is...Ch. 9.1 - 3. A production line operation is designed to fill...Ch. 9.1 - 4. Because of high production-changeover time and...Ch. 9.2 - 5. Duke Energy reported that the cost of...Ch. 9.2 - Prob. 6E Ch. 9.2 - Carpet Salesperson Salaries. Carpetland...Ch. 9.2 - 8. Suppose a new production method will be...Ch. 9.3 - Consider the following hypothesis test: A sample...Ch. 9.3 - Prob. 10E

Ch. 9.3 - Consider the following hypothesis test: A sample...Ch. 9.3 - Prob. 12E Ch. 9.3 - Prob. 13E Ch. 9.3 - Prob. 14E Ch. 9.3 - Federal Tax Returns. According to the IRS,...Ch. 9.3 - In a study entitled How Undergraduate Students Use...Ch. 9.3 - The mean hourly wage for employees in...Ch. 9.3 - Young millennials, adults aged 18 to 34, are...Ch. 9.3 - The Internal Revenue Service (IRS) provides a...Ch. 9.3 - Prescription Drug Costs. Annual expenditure for...Ch. 9.3 - Cost of Telephone Surveys. Fowle Marketing...Ch. 9.3 - Time in Supermarket Checkout Lines. CCN and...Ch. 9.4 - Consider the following hypothesis test: A sample...Ch. 9.4 - Consider the following hypothesis test: A sample...Ch. 9.4 - Consider the following hypothesis test: A sample...Ch. 9.4 - Prob. 26E Ch. 9.4 - Which is cheaper: eating out or dining in? The...Ch. 9.4 - CEO Tenure. A shareholders’ group, in lodging a...Ch. 9.4 - The national mean annual salary for a school...Ch. 9.4 - Time in Child Care. The time married men with...Ch. 9.4 - Prob. 31E Ch. 9.4 - Used Car Prices. According to the National...Ch. 9.4 - Prob. 33E Ch. 9.4 - Prob. 34E Ch. 9.5 - Consider the following hypothesis test: A sample...Ch. 9.5 - Prob. 36E Ch. 9.5 - Prob. 37E Ch. 9.5 - Attitudes toward Supermarket Brands. A study by...Ch. 9.5 - Prob. 39E Ch. 9.5 - Prob. 40E Ch. 9.5 - Ten years ago 53% of American families owned...Ch. 9.5 - Returned Merchandise. According to the University...Ch. 9.5 - Prob. 43E Ch. 9.5 - Prob. 44E Ch. 9.5 - The American Association of Individual Investors...Ch. 9 - Production Line Fill Weights. A production line...Ch. 9 - Scholarship Examination Scores. At Western...Ch. 9 - Exposure to Background Television. CNN reports...Ch. 9 - Prob. 49SE Ch. 9 - Prob. 50SE Ch. 9 - Prob. 51SE Ch. 9 - Prob. 52SE Ch. 9 - In Hamilton County, Ohio, the mean number of days...Ch. 9 - Prob. 54SE Ch. 9 - Prob. 55SE Ch. 9 - Prob. 56SE Ch. 9 - The unemployment rate for 18- to 34-year-olds was...Ch. 9 - Prob. 58SE Ch. 9 - In recent years more people have been working past...Ch. 9 - Case Problem 1 Quality Associates, Inc. Quality...Ch. 9 - Case problem 2 Ethical Behavior of Business...

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Solution Summary: the null and alternative hypotheses that are most appropriate for the given situation are as follows:

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