An Introduction to Statistical Methods and Data Analysis
An Introduction to Statistical Methods and Data Analysis
7th Edition
ISBN: 9781305269477
Author: R. Lyman Ott, Micheal T. Longnecker
Publisher: Cengage Learning
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Chapter 2.8, Problem 13E

For each of the following situations, decide what sampling method you would use. Provide an explanation of why you selected a particular method of sampling.

  1. a. The major state university in the state is attempting to lobby the state legislature for a bill that would allow the university to charge a higher tuition rate than the other universities in the state. To provide a justification, the university plans to conduct a mail survey of its alumni to collect information concerning their current employment status. The university grants a wide variety of different degrees and wants to make sure that information is obtained about graduates from each of the degree types. A 5% sample of alumni is considered sufficient.
  2. b. The Environmental Protection Agency (EPA) is required to inspect landfills in the United States for the presence of certain types of toxic material. The materials were sealed in containers and placed in the landfills. The exact location of the containers is no longer known. The EPA wants to inspect a sample of 100 containers from the 4,000 containers known to be in the landfills to determine if leakage from the containers has occurred.
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Read all three questions and please give a thorough easy-to-understand explanation. 1. Petra is doing a survey. Which of the following descriptions is an example of convenience sampling?  A. Petra surveys 4 students in every class in the school. B. Petra surveys every house in her town. C. Petra surveys the 15 players on her hockey team. How could you change the other descriptions to be examples of convenience sampling?   2. A class wants to know who in their town likes basketball. The class asks people at the mall. Which of the following is the best description of the convenience example? A. The sample is not representative because the group surveyed is probably not biased about basketball. B. The sample is not representative because the group surveyed is probably biased about basketball. C. The sample is representative because the group surveyed is probably biased about basketball. D. The sample is representative because the group surveyed is probably not biased about basketball.…
For the given situation, decide what sampling method you would use. Provide an explanation of why you selected a particular method of sampling. The major state university in Region A is attempting to lobby the state legislator for a bill that would allow the university to charge a higher tuition rate than the other universities in the country. To provide a justification, the university plans to conduct a mail survey of its alumni to collect information concerning their current employment status. The university grants a wide variety of different degrees and wants to make sure that information is obtained about graduates from each of the degree types. A 5% sample of alumni is considered sufficient.
The average annual premium for automobile insurance in the US is $1503. The following annual premiums are representative of the website's findings for Michigan state. $1905, $2370, $2184, $2981, $2725, $2545, $2332, $2627, $2677, $2529, $3112, $2857, $2600, $2442, $2545, $2675, $2962, $2312, $2525, $2115 a) Provide a point estimate of the mean automobile insurance premium in Michigan. b) Develop a 95% confidence interval for the mean annual automobile insurance premium in Michigan. c) Does the 95% confidence interval for the annual automobile insurance premium in Michigan include the national average for the US? Interpret the relationship between auto insurance premiums in Michigan and the national average.

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An Introduction to Statistical Methods and Data Analysis

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