Elementary Statistics: A Step By Step Approach
9th Edition
ISBN: 9780073534985
Author: Allan Bluman
Publisher: McGraw-Hill Science/Engineering/Math
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Chapter 6.1, Problem 51EC
To determine
The
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The equation of a regression line between two variables x and y and the correlation coefficient
were computed as shown here. Which of the following statements are true?
y=-3x+2
r=-95
I) The variable y is positively correlated to the variable x
II) The variable y is negatively correlated to the variable x
II) 95% percent of variation in the y variable can be explained by the x variable
IV) 90.25% percent of variation in the y variable can be explained by the x variable
O I and III only
I and IV only
O Il and III only
O Il and IV only
The regression lines between two variables x
and y are given by 2x + 3y – 6 = 0 and 5x + 7y –
12 = 0. Find the value of y (the correlation
coefficient) and the mean values of x and y.
Which of these options are true?
Chapter 6 Solutions
Elementary Statistics: A Step By Step Approach
Ch. 6.1 - Many times in statistics it is necessary to see if...Ch. 6.1 - What are the characteristics of an normal...Ch. 6.1 - Why is the standard normal distribution important...Ch. 6.1 - What is the total area under the standard normal...Ch. 6.1 - What percentage of the area falls below the mean?...Ch. 6.1 - About what percentage of the area under the normal...Ch. 6.1 - What are two other names for a normal...Ch. 6.1 - Prob. 7ECh. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - Prob. 9E
Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - Prob. 11ECh. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - Prob. 13ECh. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - Prob. 17ECh. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - Prob. 21ECh. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - Prob. 23ECh. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - For Exercises 7 through 26, find the area under...Ch. 6.1 - Prob. 27ECh. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - Prob. 29ECh. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - Prob. 31ECh. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - Prob. 33ECh. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - Prob. 37ECh. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - In Exercises 27 through 40, find the probabilities...Ch. 6.1 - For Exercises 41 through 46, find the z value that...Ch. 6.1 - For Exercises 41 through 46, find the z value that...Ch. 6.1 - For Exercises 41 through 46, find the z value that...Ch. 6.1 - For Exercises 41 through 46, find the z value that...Ch. 6.1 - For Exercises 41 through 46, find the z value that...Ch. 6.1 - For Exercises 41 through 46, find the z value that...Ch. 6.1 - Find the z value to the left of the mean so that...Ch. 6.1 - Find the z value to the right of the mean so that...Ch. 6.1 - Find two z values, one positive and one negative,...Ch. 6.1 - Find two z values so that 48% of the middle area...Ch. 6.1 - Prob. 51ECCh. 6.1 - Prob. 52ECCh. 6.1 - Prob. 53ECCh. 6.1 - For Exercises 5356, z0 is the statistical notation...Ch. 6.1 - Prob. 55ECCh. 6.1 - Prob. 56ECCh. 6.1 - Prob. 57ECCh. 6.1 - Prob. 58ECCh. 6.1 - Prob. 59ECCh. 6.1 - Find P(z 2.3 and z 1.2).Ch. 6.2 - Applying the Concepts 62 Smart People Assume you...Ch. 6.2 - Prob. 1ECh. 6.2 - Teachers Salaries The average annual salary for...Ch. 6.2 - Population in U.S. Jails The average daily jail...Ch. 6.2 - SAT Scores The national average SAT score (for...Ch. 6.2 - Chocolate Bar Calories The average number of...Ch. 6.2 - Monthly Mortgage Payments The average monthly...Ch. 6.2 - Prob. 7ECh. 6.2 - Doctoral Student Salaries Full-time Ph.D. students...Ch. 6.2 - Miles Driven Annually The mean number of miles...Ch. 6.2 - Commute Time to Work The average commute to work...Ch. 6.2 - Credit Card Debt The average credit card debt for...Ch. 6.2 - Prob. 12ECh. 6.2 - Prob. 13ECh. 6.2 - Newborn Elephant Weights Newborn elephant calves...Ch. 6.2 - Prob. 15ECh. 6.2 - Salary of Full Professors The average salary of a...Ch. 6.2 - Prob. 17ECh. 6.2 - Itemized Charitable Contributions The average...Ch. 6.2 - New Home Sizes A contractor decided to build homes...Ch. 6.2 - New-Home Prices If the average price of a new...Ch. 6.2 - Cost of Personal Computers The average price of a...Ch. 6.2 - Reading Improvement Program To help students...Ch. 6.2 - Prob. 23ECh. 6.2 - Ages of Amtrak Passenger Cars The average age of...Ch. 6.2 - Lengths of Hospital Stays The average length of a...Ch. 6.2 - High School Competency Test A mandatory competency...Ch. 6.2 - Product Marketing An advertising company plans to...Ch. 6.2 - Prob. 28ECh. 6.2 - Wristwatch Lifetimes The mean lifetime of a...Ch. 6.2 - Police Academy Acceptance Exams To qualify for a...Ch. 6.2 - In the distributions shown, state the mean and...Ch. 6.2 - SAT Scores Suppose that the mathematics SAT scores...Ch. 6.2 - Prob. 33ECh. 6.2 - Standardizing If a distribution of raw scores were...Ch. 6.2 - Social Security Payments Consider the distribution...Ch. 6.2 - Find the Mean In a normal distribution, find when...Ch. 6.2 - Internet Users U.S. internet users spend an...Ch. 6.2 - Exam Scores An instructor gives a 100-point...Ch. 6.2 - Drive-in Movies The data shown represent the...Ch. 6.2 - Prob. 40ECh. 6.2 - Prob. 41ECh. 6.2 - Prob. 42ECh. 6.2 - Prob. 43ECh. 6.3 - Applying the Concepts 63 Times To Travel to School...Ch. 6.3 - Prob. 1ECh. 6.3 - Why do most of the sample means differ somewhat...Ch. 6.3 - What is the mean of the sample means?Ch. 6.3 - What is the standard deviation of the sample means...Ch. 6.3 - What does the central limit theorem say about the...Ch. 6.3 - What formula is used to gain information about an...Ch. 6.3 - Prob. 7ECh. 6.3 - Glass Garbage Generation A survey found that the...Ch. 6.3 - Prob. 9ECh. 6.3 - Teachers Salaries in Connecticut The average...Ch. 6.3 - Prob. 11ECh. 6.3 - Teachers Salaries in North Dakota The average...Ch. 6.3 - Prob. 13ECh. 6.3 - SAT Scores The national average SAT score (for...Ch. 6.3 - Cost of Overseas Trip The average overseas trip...Ch. 6.3 - Cell Phone Lifetimes A recent study of the...Ch. 6.3 - Water Use The Old Farmers Almanac reports that the...Ch. 6.3 - Medicare Hospital Insurance The average yearly...Ch. 6.3 - Amount of Laundry Washed Each Year Procter Gamble...Ch. 6.3 - Per Capita Income of Delaware Residents In a...Ch. 6.3 - Prob. 21ECh. 6.3 - Systolic Blood Pressure Assume that the mean...Ch. 6.3 - Cholesterol Content The average cholesterol...Ch. 6.3 - Ages of Proofreaders At a large publishing...Ch. 6.3 - TIMSS Test On the Trends in International...Ch. 6.3 - Life Expectancies In a study of the life...Ch. 6.3 - Home Values A study of 800 homeowners in a certain...Ch. 6.3 - Breaking Strength of Steel Cable The average...Ch. 6.3 - Prob. 29ECCh. 6.3 - Prob. 30ECCh. 6.4 - Applying the Concepts 64 Mountain Climbing Safety...Ch. 6.4 - Explain why a normal distribution can be used as...Ch. 6.4 - What conditions must be met to use the normal...Ch. 6.4 - Why is a correction for continuity necessary?Ch. 6.4 - When is the normal distribution not a good...Ch. 6.4 - Prob. 5ECh. 6.4 - Prob. 6ECh. 6.4 - Check each binomial distribution to see whether it...Ch. 6.4 - Check each binomial distribution to see whether it...Ch. 6.4 - Prob. 9ECh. 6.4 - School Enrollment Of all 3- to 5-year-old...Ch. 6.4 - Home Ownership In a recent year, the rate of U.S....Ch. 6.4 - Mail Order A mail order company has an 8% success...Ch. 6.4 - Prob. 13ECh. 6.4 - Prob. 14ECh. 6.4 - Prob. 15ECh. 6.4 - Population of College Cities College students...Ch. 6.4 - Prob. 17ECh. 6.4 - Prob. 18ECh. 6.4 - Female Americans Who Have Completed 4 Years of...Ch. 6.4 - Prob. 20ECh. 6.4 - Elementary School Teachers Women comprise 80.3% of...Ch. 6.4 - Prob. 22ECh. 6.4 - Prob. 23ECCh. 6 - Prob. 6.1.1RECh. 6 - Find the area under the standard normal...Ch. 6 - Prob. 6.1.3RECh. 6 - Using the standard normal distribution, find each...Ch. 6 - Per Capita Spending on Health Care The average per...Ch. 6 - Prob. 6.2.6RECh. 6 - Commuter Train Passengers On a certain run of a...Ch. 6 - Monthly Spending for Paging and Messaging Services...Ch. 6 - Cost of Smartphone Repair The average cost of...Ch. 6 - Prob. 6.2.10RECh. 6 - Private Four-Year College Enrollment A random...Ch. 6 - Heights of Active Volcanoes The heights (in feet...Ch. 6 - Confectionary Products Americans ate an average of...Ch. 6 - Average Precipitation For the first 7 months of...Ch. 6 - Sodium in Frozen Food The average number of...Ch. 6 - Prob. 6.3.16RECh. 6 - Retirement Income Of the total population of...Ch. 6 - Slot Machines The probability of winning on a slot...Ch. 6 - Multiple-Job Holders According to the government,...Ch. 6 - Enrollment in Personal Finance Course In a large...Ch. 6 - Prob. 6.4.21RECh. 6 - Larceny-Thefts Excluding motor vehicle thefts, 26%...Ch. 6 - Determine whether each statement is true or false....Ch. 6 - Prob. 2CQCh. 6 - Determine whether each statement is true or false....Ch. 6 - The z value corresponding to a number below the...Ch. 6 - Determine whether each statement is true or false....Ch. 6 - Prob. 6CQCh. 6 - Select the best answer. 7. The mean of the...Ch. 6 - Approximately what percentage of normally...Ch. 6 - Which is not a property of the standard normal...Ch. 6 - When a distribution is positively skewed, the...Ch. 6 - Prob. 11CQCh. 6 - Complete the following statements with the best...Ch. 6 - The difference between a sample mean and a...Ch. 6 - The mean of the sample means equals ________.Ch. 6 - The standard deviation of all possible sample...Ch. 6 - The normal distribution can be used to approximate...Ch. 6 - Prob. 17CQCh. 6 - Find the area under the standard normal...Ch. 6 - Using the standard normal distribution, find each...Ch. 6 - Amount of Rain in a City The average amount of...Ch. 6 - Heights of People The average height of a certain...Ch. 6 - Sports Drink Consumption The average number of...Ch. 6 - Years to Complete a Graduate Program The average...Ch. 6 - Passengers on a Bus On the daily run of an express...Ch. 6 - Thickness of Library Books The average thickness...Ch. 6 - Prob. 26CQCh. 6 - Prob. 27CQCh. 6 - Electric Bills The average electric bill in a...Ch. 6 - Sleep Survey According to a recent survey, 38% of...Ch. 6 - Prob. 30CQCh. 6 - Household Online Connection The percentage of U.S....Ch. 6 - Prob. 32CQCh. 6 - Prob. 33CQCh. 6 - GMAT Scores The average GMAT scores for the top-30...Ch. 6 - Prob. 1CTCCh. 6 - Sometimes a researcher must decide whether a...Ch. 6 - Prob. 3CTCCh. 6 - Prob. 4CTCCh. 6 - Sometimes a researcher must decide whether a...Ch. 6 - Prob. 6CTCCh. 6 - Prob. 7CTCCh. 6 - Prob. 8CTCCh. 6 - Formulas Confirm the two formulas hold true for...
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