Modern Business Statistics with Microsoft Excel (MindTap Course List)

5th Edition

ISBN: 9781285433301

Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams

Publisher: Cengage Learning

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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Textbook Question

Chapter 7.5, Problem 24E

State Rainfalls. The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the standard deviation for both states is 4 inches. A sample of 30 years of rainfall for California and a sample of 45 years of rainfall for New York has been taken.

a. Show the probability distribution of the sample mean annual rainfall for California.
b. What is the probability that the sample mean is within 1 inch of the population mean for California?
c. What is the probability that the sample mean is within 1 inch of the population mean for New York?
d. In which case, part (b) or part (c), is the probability of obtaining a sample mean within 1 inch of the population mean greater? Why?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Chapter 7 Solutions

Modern Business Statistics with Microsoft Excel (MindTap Course List)

Ch. 7.2 - Consider a finite population with five elements...Ch. 7.2 - Assume a finite population has 10 elements. Number...Ch. 7.2 - The 2012 American League consists of 14 baseball...Ch. 7.2 - The U.S. Golf Association has instituted a ban on...Ch. 7.2 - In this section we used a two-step procedure to...Ch. 7.2 - 10. Indicate which of the following situations...Ch. 7.3 - 11. The following data are from a simple random...Ch. 7.3 - Prob. 8E Ch. 7.3 - Prob. 9E Ch. 7.3 - 14. Morningstar publishes ratings data on 1208...

Ch. 7.3 - 15. The National Football League (NFL) polls fans...Ch. 7.3 - Prob. 12E Ch. 7.3 - 17. One of the questions in the Pew Internet &...Ch. 7.3 - In this section we showed how a simple random...Ch. 7.5 - 19. A population has a mean of 200 and a standard...Ch. 7.5 - Prob. 16E Ch. 7.5 - 21. Suppose a random sample of size 50 is selected...Ch. 7.5 - Refer to the EAI sampling problem. Suppose a...Ch. 7.5 - In the EAI sampling problem (see Figure 7.8), we...Ch. 7.5 - 24. Barron’s reported that the average number of...Ch. 7.5 - Prob. 21E Ch. 7.5 - Federal Income Tax Returns. The Wall Street...Ch. 7.5 - 27. The Economic Policy Institute periodically...Ch. 7.5 - State Rainfalls. The state of California has a...Ch. 7.5 - The mean preparation fee H&R Block charged retail...Ch. 7.5 - 30. To estimate the mean age for a population of...Ch. 7.6 - 31. A sample of size 100 is selected from a...Ch. 7.6 - 32. A population proportion is .40. A sample of...Ch. 7.6 - Prob. 29E Ch. 7.6 - 34. The population proportion is .30. What is the...Ch. 7.6 - Prob. 31E Ch. 7.6 - 36. The Wall Street Journal reported that the age...Ch. 7.6 - Prob. 33E Ch. 7.6 - Unnecessary Medical Care. According to Reader’s...Ch. 7.6 - Prob. 35E Ch. 7.6 - Prob. 36E Ch. 7.6 - 41. The Food Marketing Institute shows that 17% of...Ch. 7 - Prob. 38SE Ch. 7 - 43. The latest available data showed health...Ch. 7 - 44. Foot Locker uses sales per square foot as a...Ch. 7 - 45. Allegiant Airlines charges a mean base fare of...Ch. 7 - 46. After deducting grants based on need, the...Ch. 7 - Prob. 43SE Ch. 7 - Prob. 44SE Ch. 7 - Production Quality Control. A production process...Ch. 7 - Prob. 46SE Ch. 7 - Prob. 47SE Ch. 7 - Prob. 48SE Ch. 7 - Prob. 49SE Ch. 7 - 54. Lori Jeffrey is a successful sales...

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Solution Summary: The author shows the probability distribution of the sample mean annual rainfall for State C and N.

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Chapter 7 Solutions