Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

6th Edition

ISBN: 9781337115186

Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran

Publisher: Cengage Learning

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Estimation

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Textbook Question

Chapter 8.1, Problem 1E

A simple random sample of 40 items resulted in a sample mean of 25. The population standard deviation is σ = 5.

a. What is the standard error of the mean, σ_x?
b. At 95% confidence, what is the margin of error?

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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Chapter 8 Solutions

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Ch. 8.1 - 1. A simple random sample of 40 items resulted in...Ch. 8.1 - 2. A simple random sample of 50 items from a...Ch. 8.1 - 3. A simple random sample of 60 items resulted in...Ch. 8.1 - 4. A 95% confidence interval for a population mean...Ch. 8.1 - 5. Data were collected on the amount spent by 64...Ch. 8.1 - Travel Taxes. In an attempt to assess total daily...Ch. 8.1 - The National Fire Protection Association reported...Ch. 8.1 - 8. Studies show that massage therapy has a variety...Ch. 8.1 - Prob. 9E Ch. 8.1 - 10. Costs are rising for all kinds of medical...

Ch. 8.2 - For a t distribution with 16 degrees of freedom,...Ch. 8.2 - Find the t value(s) for each of the following...Ch. 8.2 - The following sample data are from a normal...Ch. 8.2 - 14. A simple random sample with n = 54 provided a...Ch. 8.2 - Prob. 15E Ch. 8.2 - Years to Bond Maturity. A sample containing years...Ch. 8.2 - Quality Ratings of Airports. The International Air...Ch. 8.2 - Unemployment in Older Workers. Older people often...Ch. 8.2 - Prob. 19E Ch. 8.2 - Automobile Insurance Premiums. The average annual...Ch. 8.2 - Telemedicine. Health insurers are beginning to...Ch. 8.2 - Prob. 22E Ch. 8.3 - 23. How large a sample should be selected to...Ch. 8.3 - Prob. 24E Ch. 8.3 - Prob. 25E Ch. 8.3 - Prob. 26E Ch. 8.3 - Annual starting salaries for college graduates...Ch. 8.3 - Prob. 28E Ch. 8.3 - 29. Customers arrive at a movie theater at the...Ch. 8.3 - Prob. 30E Ch. 8.4 - 31. A simple random sample of 400 individuals...Ch. 8.4 - 32. A simple random sample of 800 elements...Ch. 8.4 - Prob. 33E Ch. 8.4 - 34. At 95% confidence, how large a sample should...Ch. 8.4 - The Pew Research Center conducted a survey of...Ch. 8.4 - 36. According to statistics reported on CNBC, a...Ch. 8.4 - 37. One of the questions on a survey of 1000...Ch. 8.4 - According to Thomson Financial, through last...Ch. 8.4 - The percentage of Texans not covered by health...Ch. 8.4 - For many years businesses have struggled with the...Ch. 8.4 - 41. Fewer young people are driving. In 1983, 87%...Ch. 8.4 - Prob. 42E Ch. 8.4 - Prob. 43E Ch. 8.5 - Suppose a sample of 10001 erroneous Federal income...Ch. 8.5 - According to the Census Bureau, 2,475,780 people...Ch. 8.5 - Prob. 46E Ch. 8.5 - Prob. 47E Ch. 8 - 44. A sample survey of 54 discount brokers showed...Ch. 8 - 45. A survey conducted by the American Automobile...Ch. 8 - 46. The 92 million Americans of age 50 and over...Ch. 8 - Russia has recently started a push for stronger...Ch. 8 - 48. The Health Care Cost Institute tracks health...Ch. 8 - GlobalWebIndex reports that American Internet...Ch. 8 - 50. Mileage tests are conducted for a particular...Ch. 8 - Prob. 55SE Ch. 8 - Prob. 56SE Ch. 8 - 53. The National Center for Education Statistics...Ch. 8 - Prob. 58SE Ch. 8 - 55. The Pew Research Center has conducted...Ch. 8 - 56. A survey of 750 likely voters in Ohio was...Ch. 8 - The 2003 Statistical Abstract of the United States...Ch. 8 - 58. A well-known bank credit card firm wishes to...Ch. 8 - The American Enterprise Institute (AEI) Public...Ch. 8 - Prob. 64SE Ch. 8 - case Problem 1 Young Professional Magazine Young...Ch. 8 - Gulf Real Estate Properties Gulf Real Estate...Ch. 8 - Metropolitan Research, Inc. Metropolitan Research,...

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A simple random sample of 40 items resulted in a sample mean of 25. The population standard deviation is σ = 5. a. What is the standard error of the mean, σ x ? b. At 95% confidence, what is the margin of error?

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