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The mean annual premium for automobile insurance in the United States is $1503 (Insure.com website, March 6, 2014). Being from Pennsylvania, you believe automobile insurance is cheaper there and wish to develop statistical support for your opinion. A sample of 25 automobile insurance policies from the state of Pennsylvania showed a mean annual premium of $1440 with a standard deviation of s = $165. a. Develop a hypothesis test that can be used to determine whether the mean annual premium in Pennsylvania is lower than the national mean annual premium. b. What is a point estimate of the difference between the mean annual premium in Pennsylvania and the national mean? c. At α = .05, test for a significant difference. What is your conclusion?

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STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
BuyFind

STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

Solutions

Chapter
Section
Chapter 9.4, Problem 33E
Textbook Problem

The mean annual premium for automobile insurance in the United States is $1503 (Insure.com website, March 6, 2014). Being from Pennsylvania, you believe automobile insurance is cheaper there and wish to develop statistical support for your opinion. A sample of 25 automobile insurance policies from the state of Pennsylvania showed a mean annual premium of $1440 with a standard deviation of s = $165.

  1. a. Develop a hypothesis test that can be used to determine whether the mean annual premium in Pennsylvania is lower than the national mean annual premium.
  2. b. What is a point estimate of the difference between the mean annual premium in Pennsylvania and the national mean?
  3. c. At α = .05, test for a significant difference. What is your conclusion?

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Chapter 9 Solutions

STATISTICS F/BUSINESS+ECONOMICS-TEXT
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Ch. 9.3 - Consider the following hypothesis test: H0: = 15...Ch. 9.3 - Consider the following hypothesis test: H0: 80...Ch. 9.3 - Consider the following hypothesis test: H0: 50...Ch. 9.3 - Consider the following hypothesis test: H0: = 22...Ch. 9.3 - Individuals filing federal income tax returns...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 - Annual expenditure for prescription drugs was 838...Ch. 9.3 - Fowle Marketing Research, Inc., bases charges to a...Ch. 9.3 - CCN and ActMedia provided a television channel...Ch. 9.4 - Consider the following hypothesis test: H0: 12...Ch. 9.4 - Consider the following hypothesis test: H0: = 18...Ch. 9.4 - Consider the following hypothesis test: H0: 45...Ch. 9.4 - Consider the following hypothesis test: H0: = 100...Ch. 9.4 - Which is cheaper: eating out or dining in? The...Ch. 9.4 - A shareholders group, in lodging a protest,...Ch. 9.4 - The national mean annual salary for a school...Ch. 9.4 - The time married men with children spend on child...Ch. 9.4 - The Coca-Cola Company reported that the mean per...Ch. 9.4 - According to the National Automobile Dealers...Ch. 9.4 - The mean annual premium for automobile insurance...Ch. 9.4 - Joans Nursery specializes in custom-designed...Ch. 9.5 - Consider the following hypothesis test: H0: p =...Ch. 9.5 - Consider the following hypothesis test: H0: p .75...Ch. 9.5 - The U.S. Bureau of Labor Statistics reports that...Ch. 9.5 - A study by Consumer Reports showed that 64% of...Ch. 9.5 - What percentage of the population live in their...Ch. 9.5 - Last year, 46% of business owners gave a holiday...Ch. 9.5 - Ten years ago 53% of American families owned...Ch. 9.5 - According to the University of Nevada Center for...Ch. 9.5 - Eagle Outfitters is a chain of stores specializing...Ch. 9.5 - One of the reasons health care costs have been...Ch. 9.5 - The American Association of Individual Investors...Ch. 9.6 - consider the following hypothesis test. H0: 10...Ch. 9.6 - Consider the following hypothesis test. H0: = 20...Ch. 9.6 - Fowle Marketing Research, Inc., bases charges to a...Ch. 9.6 - A consumer research group is interested in testing...Ch. 9.6 - Young Adult magazine states the following...Ch. 9.6 - Refer to exercise 48. Assume the firm selects a...Ch. 9.6 - Sparr Investments, Inc., specializes in...Ch. 9.7 - Consider the following hypothesis test. H0: 10...Ch. 9.7 - Consider the following hypothesis test. H0: = 20...Ch. 9.7 - Suppose the project director for the Hilltop...Ch. 9.7 - A special industrial battery must have a life of...Ch. 9.7 - Young Adult magazine states the following...Ch. 9.7 - An automobile mileage study tested the following...Ch. 9 - A production line operates with a mean filling...Ch. 9 - At Western University the historical mean of...Ch. 9 - Young children in the United States are exposed to...Ch. 9 - The Wall Street Journal reported that bachelors...Ch. 9 - Data from the Office for National Statistics show...Ch. 9 - A recent issue of the AARP Bulletin reported that...Ch. 9 - The chamber of commerce of a Florida Gulf coast...Ch. 9 - In Hamilton County, Ohio, the mean number of days...Ch. 9 - On December 25, 2009, an airline passenger was...Ch. 9 - An airline promotion to business travelers is...Ch. 9 - Members of the millennial generation are...Ch. 9 - The unemployment rate for 18- to 34-year-olds was...Ch. 9 - A radio station in Myrtle Beach announced that at...Ch. 9 - In recent years more people have been working past...Ch. 9 - Shorney Construction Company bids on projects...Ch. 9 - A federal funding program is available to...Ch. 9 - H0: = 120 and Ha: 120 are used to test whether...Ch. 9 - Quality Associates, Inc. Quality Associates, Inc.,...Ch. 9 - Ethical Behavior of Business Students at Bayview...

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