7th Edition

ISBN: 8220106844434

Author: Briggs

Publisher: PEARSON

Concept explainers

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.C, Problem 4QQ

Consider wages at a fast food restaurant where most of the workers earn the minimum wage. Would you expect the wages of all workers at this restaurant to have a normal distribution?

a. Yes, because wage distributions arc always normal.

b. No, because the minimum wage is not enough money to live on.

c. No, because a normal distribution is symmetric, but no one earns less than the minimum wage.

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 6.C, Problem 3QQ

Chapter 6.C, Problem 5QQ

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Chapter 6 Solutions

EBK USING & UNDERSTANDING MATHEMATICS

Ch. 6.A - Prob. 1QQ Ch. 6.A - On an astronomy exam, 20 students score below 79...Ch. 6.A - One hundred students take a chemistry exam. All...Ch. 6.A - Twenty students take a political science exam....Ch. 6.A - A survey asks students to state many sodas they...Ch. 6.A - Among professional actors, a small number of...Ch. 6.A - The distribution of wages at a company is...Ch. 6.A - Compared to a distribution with a broad central...Ch. 6.A - If you compared the distribution of weights of 20...Ch. 6.A - The mayor of a town is considering a run for...

Ch. 6.A - 1. Define and distinguish among mean, median, and...Ch. 6.A - Prob. 2E Ch. 6.A - Briefly describe at least two possible sources of...Ch. 6.A - Prob. 4E Ch. 6.A - Prob. 5E Ch. 6.A - Prob. 6E Ch. 6.A - In my data set of 10 exam scores, the mean turned...Ch. 6.A - In my data set of 10 exam scores, the median...Ch. 6.A - I made a distribution of 15 apartment rents in my...Ch. 6.A - Two extremely tall people skewed the distribution...Ch. 6.A - The distribution of grades was left-skewed, but...Ch. 6.A - There’s much more variation in the ages of the...Ch. 6.A - 13-18: Mean, Median, and Mode. Compute the mean,...Ch. 6.A - Mean, Median, and Mode. Compute the mean, median,...Ch. 6.A - Mean, Median, and Mode. Compute the mean, median,...Ch. 6.A - Mean, Median, and Mode. Compute the mean, median,...Ch. 6.A - 13–18: Mean, Median, and Mode. Compute the mean,...Ch. 6.A - 13-18: Mean, Median, and Mode. Compute the mean,...Ch. 6.A - Outlier Coke. Cans of Coca-Cola vary slightly in...Ch. 6.A - 20. Margin of Victory. The following data give the...Ch. 6.A - Appropriate Average. For each of the following...Ch. 6.A - 21-26: Appropriate Average. For each of the...Ch. 6.A - 21-26: Appropriate Average. For each of the...Ch. 6.A - 21-26: Appropriate Average. For each of the...Ch. 6.A - 21-26: Appropriate Average. For each of the...Ch. 6.A - 21-26: Appropriate Average. For each of the...Ch. 6.A - 27-34: Describing Distributions Consider the...Ch. 6.A - Describing Distributions. Consider the following...Ch. 6.A - 27-34: Describing Distributions Consider the...Ch. 6.A - Describing Distributions. Consider the following...Ch. 6.A - 27-34: Describing Distributions Consider the...Ch. 6.A - Describing Distributions. Consider the following...Ch. 6.A - Prob. 33E Ch. 6.A - Describing Distributions. Consider the following...Ch. 6.A - Prob. 35E Ch. 6.A - 35-36: Understanding Distributions. For the given...Ch. 6.A - Smooth Distributions. Through each histogram, draw...Ch. 6.A - Smooth Distributions. For each histogram, draw a...Ch. 6.A - Smooth Distributions. For each histogram, draw a...Ch. 6.A - Prob. 40E Ch. 6.A - Family Income. Suppose you study family income in...Ch. 6.A - Airline Delays. Suppose you are a scheduler for a...Ch. 6.A - Weighted Means. We often deal with weighted means,...Ch. 6.A - Weighted Means. We often deal with weighted means,...Ch. 6.A - Prob. 45E Ch. 6.A - Prob. 46E Ch. 6.A - Prob. 47E Ch. 6.A - Prob. 48E Ch. 6.A - 50. Daily Averages. Cite three examples of...Ch. 6.A - 51. Distributions in the News. Find three recent...Ch. 6.A - Answer the following questions using procedures...Ch. 6.A - Prob. 52E Ch. 6.A - 53. StatCrunch Project. Choose a data set...Ch. 6.B - The lowest score on an exam was 62, the median...Ch. 6.B - Which of the following is not part of a...Ch. 6.B - The lower quartile for hourly wages at a coffee...Ch. 6.B - Is it possible for a distribution to have a mean...Ch. 6.B - Suppose you are given the mean and just one data...Ch. 6.B - The standard deviation is best described as a...Ch. 6.B - What type of data distribution has a negative...Ch. 6.B - In any distribution, it is always true that a. the...Ch. 6.B - Which data set would you expect to have the...Ch. 6.B - Professors Smith, Jones, and Garcia all got the...Ch. 6.B - Consider two grocery stores at which the mean time...Ch. 6.B - Describe how we define and calculate the range of...Ch. 6.B - Prob. 3E Ch. 6.B - Prob. 4E Ch. 6.B - Prob. 5E Ch. 6.B - Prob. 6E Ch. 6.B - The distributions of scores on two exams had the...Ch. 6.B - The highest exam score was in the upper quartile...Ch. 6.B - For the 30 students who took the test, the high...Ch. 6.B - I examined the data carefully, and the range was...Ch. 6.B - The standard deviation for the heights of a group...Ch. 6.B - The mean gas mileage of the compact cars we tested...Ch. 6.B - 13. Big Bank Verification. Find the mean and...Ch. 6.B - Prob. 14E Ch. 6.B - Comparing Variations. Consider the following data...Ch. 6.B - Prob. 16E Ch. 6.B - Prob. 17E Ch. 6.B - Comparing Variations. Consider the following data...Ch. 6.B - Understanding Variation. The following exercises...Ch. 6.B - Understanding Variation. The following exercises...Ch. 6.B - Pizza Deliveries. After recording the pizza...Ch. 6.B - Airline Arrival Times. Two airlines have data on...Ch. 6.B - 23. Portfolio Standard Deviation. The book...Ch. 6.B - Defect Rates. Two factories each produce 1000...Ch. 6.B - 25. Ice Cream Deviations. Each night you total the...Ch. 6.B - Vet Data. A small animal veterinarian reviews her...Ch. 6.B - Prob. 27E Ch. 6.B - Prob. 28E Ch. 6.B - 29. Quality Control. An auto transmission...Ch. 6.B - Web Data Sets. Go to any website that gives data...Ch. 6.B - Prob. 31E Ch. 6.B - Prob. 32E Ch. 6.B - Prob. 33E Ch. 6.B - Prob. 34E Ch. 6.B - 35. Variation in StatCrunch. Load the data set...Ch. 6.B - 36. StatCrunch Project. Choose a data set...Ch. 6.C - Graphs of normal distributions a. always look...Ch. 6.C - In a normal distribution, the mean a. is equal to...Ch. 6.C - In a normal distribution, data values farther from...Ch. 6.C - Consider wages at a fast food restaurant where...Ch. 6.C - In a normal distribution, about 2/3 Of the data...Ch. 6.C - Suppose a car driven under different conditions...Ch. 6.C - Consider again the car described in Question 6. On...Ch. 6.C - Consider an exam with a normal distribution of...Ch. 6.C - An acquaintance tells you that his IQ is in the...Ch. 6.C - The height of a particular 7-year-old girl has a...Ch. 6.C - 1. What is a normal distribution? Briefly describe...Ch. 6.C - 2. What is the 68-95-99.7 rule for normal...Ch. 6.C - 3. What is a standard score? 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Scores on the verbal Graduate Record...Ch. 6.C - 41-47: GRE Scores. Scores on the verbal section of...Ch. 6.C - 41-47: GRE Scores. Scores on the verbal section of...Ch. 6.C - Prob. 44E Ch. 6.C - 41-47: GRE Scores. Scores on the verbal section of...Ch. 6.C - Prob. 46E Ch. 6.C - Prob. 47E Ch. 6.C - Normal Distributions. Many data sets described in...Ch. 6.C - Normal Demonstration. Do a Web search on the...Ch. 6.C - Heights of American Men. The heights of American...Ch. 6.C - Normal Distributions in StatCrunch. Go to the work...Ch. 6.C - Prob. 52E Ch. 6.D - Prob. 1QQ Ch. 6.D - Prob. 2QQ Ch. 6.D - Prob. 3QQ Ch. 6.D - Prob. 4QQ Ch. 6.D - A poll finds that 35% of the people surveyed...Ch. 6.D - Prob. 6QQ Ch. 6.D - Consider a survey with a margin of error of 4%. 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