ELEMENTARY STATS: STEP BY STEP - CONNECT

10th Edition

ISBN: 9781265626181

Author: Bluman

Publisher: MCG

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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 8.3, Problem 23E

For Exercises 7 through 23, perform each of the following steps.

a. State the hypotheses and identify the claim.

b. Find the critical value(s).

c. Find the test value.

d. Make the decision.

e. Summarize the results.

Use the traditional method of hypothesis testing unless otherwise specified.

23. Water Consumption The Old Farmer’s Almanac stated that the average consumption of water per person per day was 123 gallons. To test the hypothesis that this figure may no longer be true, a researcher randomly selected 16 people and found that they used on average 119 gallons per day and s = 5.3. At α = 0.05, is there enough evidence to say that the Old Farmer’s Almanac figure might no longer be correct? Use the P-value method.

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Chapter 8.3, Problem 22E

Chapter 8.4, Problem 1AC

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Please use the five steps in hypothesis testing. (a) Meteorology: Storms Weatherwise is a magazine published by the American Meteorological Society. One issuegives a rating system used to classify Northeaster storms that frequently hit New England and can cause muchdamage near the ocean. A severe storm has an average peak wave height of μ=16.4 ft for waves hitting the shore. Suppose that a Northeaster is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 36 waves showed on average wave height of x̄=17.3 ft. Previous studies of severe storms indicate that σ=3.5 ft. . Does this information suggest that the storm is perhaps temporarily increasing above the severe rating? Use a=0.01

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

Use the traditional method in testing the hypothesis in the problems below. In each problem, state the following:d. Make the decisione. Summarize the result 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 STATS: STEP BY STEP - CONNECT

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Solution Summary: The researcher randomly selected 16 people and found that they used on average 119 gallons per day. The alternative hypothesis indicates the claim.

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