Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
6th Edition
ISBN: 9780321914620
Author: Jeffrey O. Bennett, William L. Briggs
Publisher: PEARSON
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Chapter 6.B, Problem 22E
Airline Arrival Times. Two airlines have data on the arrival times of their flights. An arrival time of +2 minutes means the flight arrived 2 minutes early. An arrival time of −5 minutes means the flight arrived 5 minutes late. Sky view Airlines has a mean arrival time of 0.5 minute with a standard deviation of 9.6 minutes. Sky High Airlines has a mean arrival time of −5 minutes with a standard deviation of 4.0 minutes. Explain the meaning of these figures and why they would affect your choice of airlines.
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Consider the following statement:
For all integers a and b, if a 0 (mod 6) and b #0 (mod 6), then
ab #0 (mod 6).
Which of the following statements are true? (select all that apply)
Original statement
✓ Contrapositive
Converse
Negation
☐ None of the statements are true
Proposition: If m is an odd integer, then m + 6 is
an odd integer.
Proof: For m + 6 to be an odd integer, there must
exist an integer n such that
m+6=2n+1.
Subtracting 6 from both sides, we see that
m = 2n+1-6
=
= 2n― 6+1
= 2(n − 3) + 1.
Since the integers are closed under subtraction,
then n-3 € Z. Hence, the last equation implies
that m = = 2q+1 where q = n = 3. This proves
-
that if m is an odd integer, then m + 6 is an odd
integer.
Based upon the Reading assignment and the Elements of Style >>, which of the
following is the most significant error in the proof?
The proof does not use complete sentences
The proof contains a sentence that begins with a mathematical symbol
The proof uses cumbersome notation
The proof contains a variable used for more than one object
The proof is written backwards
The proof uses an example to prove the general case
Suppose that you want to estimate the mean monthly gross income of all households in your local community. You decide to estimate this population parameter by calling 150 randomly selected residents and asking each individual to report the household’s monthly income. Assume that you use the local phone directory as the frame in selecting the households to be included in your sample.
What are some possible sources of error that might arise in your effort to estimate the population mean?
Chapter 6 Solutions
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Ch. 6.A - Prob. 1QQCh. 6.A - On a math exam, one student scores 79 while 25...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 - Prob. 9QQCh. 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. 2ECh. 6.A - Briefly describe at least two possible sources of...Ch. 6.A - Prob. 4ECh. 6.A - Prob. 5ECh. 6.A - Prob. 6ECh. 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 - Prob. 10ECh. 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 - Prob. 13ECh. 6.A - Mean, Median, and Mode. Compute the mean, median,...Ch. 6.A - Mean, Median, and Mode. Compute the mean, median,...Ch. 6.A - Prob. 16ECh. 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 - Outlier Coke. Cans of Coca-Cola vary slightly in...Ch. 6.A - Prob. 20ECh. 6.A - Prob. 21ECh. 6.A - Appropriate Average. State, with an explanation,...Ch. 6.A - Prob. 23ECh. 6.A - Appropriate Average. State, with an explanation,...Ch. 6.A - Prob. 25ECh. 6.A - Appropriate Average. State, with an explanation,...Ch. 6.A - Prob. 27ECh. 6.A - Describing Distributions. Consider the following...Ch. 6.A - Describing Distributions. Consider the following...Ch. 6.A - Describing Distributions. Consider the following...Ch. 6.A - Describing Distributions. Consider the following...Ch. 6.A - Describing Distributions. Consider the following...Ch. 6.A - Prob. 33ECh. 6.A - Describing Distributions. Consider the following...Ch. 6.A - Prob. 35ECh. 6.A - Prob. 36ECh. 6.A - Smooth Distributions. Through each histogram, draw...Ch. 6.A - Smooth Distributions. Through each histogram, draw...Ch. 6.A - Smooth Distributions. Through each histogram, draw...Ch. 6.A - Prob. 40ECh. 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 - Prob. 43ECh. 6.A - Prob. 44ECh. 6.A - Prob. 45ECh. 6.A - Prob. 46ECh. 6.A - Prob. 47ECh. 6.A - Prob. 48ECh. 6.A - Prob. 49ECh. 6.A - 50. Daily Averages. Cite three examples of...Ch. 6.A - 51. Distributions in the News. Find three recent...Ch. 6.A - Prob. 52ECh. 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 wages at a coffee shop is...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. 3ECh. 6.B - Prob. 4ECh. 6.B - Prob. 5ECh. 6.B - Prob. 6ECh. 6.B - Both exams had the same range, so they must have...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. 14ECh. 6.B - Comparing Variations. Consider the following data...Ch. 6.B - Prob. 16ECh. 6.B - Comparing Variations. Consider the following data...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 - Prob. 21ECh. 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 - Batting Standard Deviation. For the past 100...Ch. 6.B - Prob. 26ECh. 6.B - Prob. 27ECh. 6.B - Prob. 28ECh. 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. 31ECh. 6.B - Prob. 32ECh. 6.B - Prob. 33ECh. 6.B - Prob. 34ECh. 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 - Prob. 4QQCh. 6.C - In a normal distribution, about 2/3 Of the data...Ch. 6.C - Prob. 6QQCh. 6.C - Prob. 7QQCh. 6.C - Prob. 8QQCh. 6.C - An acquaintance tells you that his IQ is in the...Ch. 6.C - Prob. 10QQCh. 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? How do you find the...Ch. 6.C - Prob. 4ECh. 6.C - Prob. 5ECh. 6.C - The weights of babies born at Belmont Hospital are...Ch. 6.C - The weights of babies born at Belmont Hospital are...Ch. 6.C - On yesterday's mathematics exam, the standard...Ch. 6.C - My professor graded the final on a curve, and she...Ch. 6.C - Jack is the 50th percentile for height, so he is...Ch. 6.C - Prob. 11ECh. 6.C - Prob. 12ECh. 6.C - Prob. 13ECh. 6.C - Prob. 14ECh. 6.C - Prob. 15ECh. 6.C - Prob. 16ECh. 6.C - Prob. 17ECh. 6.C - Prob. 18ECh. 6.C - Prob. 19ECh. 6.C - The 68-95-99.7 Rule. The resting heart rates for a...Ch. 6.C - Psychology Exam. The scores on a psychology exam...Ch. 6.C - Psychology Exam. The scores on a psychology exam...Ch. 6.C - Psychology Exam. The scores on a psychology exam...Ch. 6.C - Prob. 24ECh. 6.C - Psychology Exam. The scores on a psychology exam...Ch. 6.C - Prob. 26ECh. 6.C - Prob. 27ECh. 6.C - Prob. 28ECh. 6.C - Standard Scores and Percentiles. Use Table 6.3 to...Ch. 6.C - Standard Scores and Percentiles. Use Table 6.3 to...Ch. 6.C - Prob. 31ECh. 6.C - Prob. 32ECh. 6.C - Pregnancy Length. Actual lengths of terms are...Ch. 6.C - Pregnancy Length. Actual lengths of terms are...Ch. 6.C - Prob. 35ECh. 6.C - Prob. 36ECh. 6.C - Prob. 37ECh. 6.C - Prob. 38ECh. 6.C - 39. Is It Likely? Suppose you read that the...Ch. 6.C - Prob. 40ECh. 6.C - GRE Scores. Scores on the verbal Graduate Record...Ch. 6.C - Prob. 42ECh. 6.C - Prob. 43ECh. 6.C - Prob. 44ECh. 6.C - GRE Scores. Scores on the verbal Graduate Record...Ch. 6.C - Prob. 46ECh. 6.C - Prob. 47ECh. 6.C - Prob. 48ECh. 6.C - Prob. 49ECh. 6.C - Normal Demonstration. Do a Web search on the...Ch. 6.C - Normal Distributions. Many data sets described in...Ch. 6.C - Heights of American Men. The heights of American...Ch. 6.D - Prob. 1QQCh. 6.D - Prob. 2QQCh. 6.D - Prob. 3QQCh. 6.D - Prob. 4QQCh. 6.D - Prob. 5QQCh. 6.D - Prob. 6QQCh. 6.D - Consider a survey with a margin of error of 4%. If...Ch. 6.D - Prob. 8QQCh. 6.D - Prob. 9QQCh. 6.D - Prob. 10QQCh. 6.D - Prob. 1ECh. 6.D - Prob. 2ECh. 6.D - Prob. 3ECh. 6.D - Prob. 4ECh. 6.D - Prob. 5ECh. 6.D - Prob. 6ECh. 6.D - Prob. 7ECh. 6.D - Prob. 8ECh. 6.D - Prob. 9ECh. 6.D - Prob. 10ECh. 6.D - Both agencies conducted their surveys carefully,...Ch. 6.D - If you want to reduce the margin of error in your...Ch. 6.D - Prob. 13ECh. 6.D - Prob. 14ECh. 6.D - Prob. 15ECh. 6.D - Prob. 16ECh. 6.D - Prob. 17ECh. 6.D - Prob. 18ECh. 6.D - Prob. 19ECh. 6.D - Prob. 20ECh. 6.D - Human Body Temperature. A study by University of...Ch. 6.D - Seat Belts and Children. In a study of children...Ch. 6.D - SAT Preparation. A study of 75 students who took...Ch. 6.D - Weight by Age. A National Health Survey determined...Ch. 6.D - Margin of Error. Find the margin of error and the...Ch. 6.D - Prob. 26ECh. 6.D - Prob. 27ECh. 6.D - Prob. 28ECh. 6.D - Prob. 29ECh. 6.D - 25-32: Margin of Error. Find the margin of error...Ch. 6.D - Prob. 31ECh. 6.D - Prob. 32ECh. 6.D - Prob. 33ECh. 6.D - Prob. 34ECh. 6.D - Prob. 35ECh. 6.D - Prob. 36ECh. 6.D - Prob. 37ECh. 6.D - Prob. 38ECh. 6.D -
39-44: Hypothesis Tests. The following exercises...Ch. 6.D -
39-44: Hypothesis Tests. The following exercises...Ch. 6.D -
39-44: Hypothesis Tests. The following exercises...Ch. 6.D -
39-44: Hypothesis Tests. The following exercises...Ch. 6.D -
39-44: Hypothesis Tests. The following exercises...Ch. 6.D - Prob. 44ECh. 6.D - Prob. 45ECh. 6.D - Prob. 46ECh. 6.D - Prob. 47ECh. 6.D - Better Margin of Error. Suppose you want to...Ch. 6.D - Prob. 49ECh. 6.D - Recent Polls. Visit the websites of polling...Ch. 6.D - Prob. 52ECh. 6.D - Statistical Significance. Find a recent news...Ch. 6.D - Prob. 55ECh. 6.D - Hypothesis Testing. Find a news report describing...
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