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Fundamentals of Statistics | 4th Edition | ISBN: 9780321838704 | Authors: Michael Sullivan,III
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Government Waste In a Gallup poll conducted August 31–

Chapter 11, Problem 12AYU

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QUESTION:

Problem 12AYU

Problem

Government Waste In a Gallup poll conducted August 31– September 2, 2009, 513 national adults aged 18 years of age or older who consider themselves to be Republican were asked, “Of every tax dollar that goes to the federal government in Washington, D.C., how many cents of each dollar would you say are wasted?” The mean wasted was found to be 54 cents with a standard deviation of 2.9 cents. The same question was asked of 513 national adults aged 18 years of age or older who consider themselves to be Democrat. The mean wasted was found to be 41 cents with a standard deviation of 2.6 cents. Construct a 95% confidence interval for the mean difference in government waste, μR – μD. Interpret the interval.

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QUESTION:

Problem 12AYU

Problem

Government Waste In a Gallup poll conducted August 31– September 2, 2009, 513 national adults aged 18 years of age or older who consider themselves to be Republican were asked, “Of every tax dollar that goes to the federal government in Washington, D.C., how many cents of each dollar would you say are wasted?” The mean wasted was found to be 54 cents with a standard deviation of 2.9 cents. The same question was asked of 513 national adults aged 18 years of age or older who consider themselves to be Democrat. The mean wasted was found to be 41 cents with a standard deviation of 2.6 cents. Construct a 95% confidence interval for the mean difference in government waste, μR – μD. Interpret the interval.

ANSWER:

Answer:

Step 1 of 1

Given, the mean wasted was found to be 54 cents with a standard deviation of 2.9 cents. The same question was asked of 513 national adults aged 18 years of age or older who consider themselves to be Democrat. The mean wasted was found to be 41 cents with a standard deviation of 2.6 cents. Construct a 95% confidence interval for the mean difference in government waste, μR – μD. Interpret the interval.

Lower bound =

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