2015th Edition

ISBN: 9781308522180

Author: Bluman

Publisher: MCG/CREATE

Concept explainers

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 8.2, Problem 6E

For Exercises 1 through 25, perform each of the following steps.

a. State the hypotheses and identify the claim.

b. Find the critical value(s).

c. Compute the test value.

d. Make the decision.

e. Summarize the results.

Use diagrams to show the critical region (or regions), and use the traditional method of hypothesis testing unless otherwise specified.

6. Cost of Building a Home According to the National Association of Home Builders, the average cost of building a home in the Northeast is $117.91 per square foot. A random sample of 36 new homes indicated that the mean cost was $122.57 and the standard deviation was $20. Can it be concluded that the mean cost differs from $117.91, using the 0.10 level of significance?

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 8.2, Problem 5E

Chapter 8.2, Problem 7E

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Directions: Follow the steps in testing the hypothesis to answer the following problems. a. Identify the given in the problem. b. State the null and alternative hypotheses. c. Determine the test statistic, then compute its value. d. Find the critical value and draw the critical region. e. Draw a conclusion A teacher believes that less than 20% of the students like Mathematics. If 13 out of the 60 randomly selected students like mathematics, is the teachers' claim valid? Use 90% confidence level.

What I Can Do Directions: Cite five (5) situations in your community where you can apply hypothesis testing. Then, just choose one situation and: 1. create a problem statement; 2. formulate the null and alternative hypothesis; 3. select the level of significance and sketch the rejection region; and 4. state the possible Type I and Type II errors.

Use the traditional method in testing the hypothesis in the problems below. In each problem, state the following:a. State the hypotheses and identify the claim.b. Find the critical value(s)c. Find the test value The manager of the cosmetics section of a large department store wants to determine whether newspaper advertising really does affect sales. For her experiment, she randomly selects 15 items currently in stock and proceeds to establish a baseline. The 15 items are priced at their usual competitive values, and the quantity of each item sold for a 1-week period is recorded. Then, without changing their price, she places a large ad in the newspaper, advertising the 15 items. Again, she records the quantity sold for a 1-week period. The results follow. Item 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15No. of Items Sold Before Ad 25 18 3 42 16 20 23 32 60 40 27 7 13 23 16No. of Items Sold After Ad 32 24 7 40 19 25 23 35 60 43 28 11 12 32 28

Chapter 8 Solutions

ELEMENTARY STATISTICS >C<

Ch. 8.1 - Applying the Concepts 81 Eggs and Your Health The...Ch. 8.1 - Define null and alternative hypotheses, and give...Ch. 8.1 - What is meant by a type I error? A type II error?...Ch. 8.1 - What is meant by a statistical test?Ch. 8.1 - Explain the difference between a one-tailed and a...Ch. 8.1 - What is meant by the critical region? The...Ch. 8.1 - What symbols are used to represent the null...Ch. 8.1 - What symbols are used to represent the...Ch. 8.1 - Explain what is meant by a significant difference.Ch. 8.1 - When should a one-tailed test be used? A...

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