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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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of tw…

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency o…

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow compar…

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Textbook Question

Chapter 6, Problem 40SE

College Admissions Test Scores. Assume that the test scores from a college admissions test are normally distributed, with a mean of 450 and a standard deviation of 100.

a. What percentage of the people taking the test score between 400 and 500?
b. Suppose someone receives a score of 630. What percentage of the people taking the test score better? What percentage score worse?
c. If a particular university will not admit anyone scoring below 480, what percentage of the persons taking the test would be acceptable to the university?

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.

Expert Solution & Answer

Chapter 6 Solutions

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

Ch. 6.1 - The random variable x is known to be uniformly...Ch. 6.1 - The random variable x is known to be uniformly...Ch. 6.1 - Cincinnati to Tampa Flight Time. Delta Airlines...Ch. 6.1 - Prob. 4E Ch. 6.1 - 5. In October 2012, Apple introduced a much...Ch. 6.1 - 6. A Gallup Daily Tracking Survey found that the...Ch. 6.1 - 7. Suppose we are interested in bidding on a piece...Ch. 6.2 - Using Figure 6.4 as a guide, sketch a normal curve...Ch. 6.2 - A random variable is normally distributed with a...Ch. 6.2 - 10. Draw a graph for the standard normal...

Ch. 6.2 - 11. Given that z is a standard normal random...Ch. 6.2 - 12. Given that z is a standard normal random...Ch. 6.2 - 13. Given that z is a standard normal random...Ch. 6.2 - Prob. 14E Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - Given that z is a standard normal random variable,...Ch. 6.2 - The mean cost of domestic airfares in the United...Ch. 6.2 - The average return for large-cap domestic stock...Ch. 6.2 - Automobile Repair Costs. Automobile repair costs...Ch. 6.2 - Gasoline Prices. Suppose that the average price...Ch. 6.2 - Mensa Membership. A person must score in the upper...Ch. 6.2 - Television Viewing. Suppose that the mean daily...Ch. 6.2 - Time to Complete Final Exam. The time needed to...Ch. 6.2 - Labor Day Travel Costs. The American Automobile...Ch. 6.2 - New York City is the most expensive city in the...Ch. 6.3 - 32. Consider the following exponential probability...Ch. 6.3 - Prob. 27E Ch. 6.3 - 34. Battery life between charges for the Motorola...Ch. 6.3 - 35. The time between arrivals of vehicles at a...Ch. 6.3 - 36. Comcast Corporation is the largest cable...Ch. 6.3 - 37. Wendy’s restaurant has been recognized for...Ch. 6.3 - 38. The Boston Fire Department receives 911 calls...Ch. 6 - 39. A business executive, transferred from Chicago...Ch. 6 - NCAA Scholarships. The NCAA estimates that the...Ch. 6 - Production Defects. Motorola used the normal...Ch. 6 - During early 2012, economic hardship was...Ch. 6 - The port of South Louisiana, located along 54...Ch. 6 - Service Contract Offer. Ward Doering Auto Sales is...Ch. 6 - Wedding Costs. The XO Group Inc. conducted a 2015...Ch. 6 - College Admissions Test Scores. Assume that the...Ch. 6 - College Graduates Starting Salaries. According to...Ch. 6 - 48. A machine fills containers with a particular...Ch. 6 - Prob. 43SE Ch. 6 - Prob. 44SE Ch. 6 - 53. Do you dislike waiting in line? Supermarket...Ch. 6 - 54. The time (in minutes) between telephone calls...

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Solution Summary: The author calculates that the test scores from a college admissions test are normally distributed with mean and standard deviation of 450 and 100, respectively.

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Chapter 6 Solutions