INTRODUCTION TO STATISTICS & DATA ANALYS
6th Edition
ISBN: 9780357420447
Author: PECK
Publisher: CENGAGE L
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 7.7, Problem 100E
a.
To determine
Construct the histogram of the square root transformed data.
b.
To determine
Identify whether the two transformations (square root or log) has resulted in a histogram that is more nearly normal in shape or not.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
You are interested in investigating whether the type of computer a person primarily uses and the type of car they drive are dependent. The table below shows the results of a survey.
What can be concluded at the 0.05 level of significance?
Sedan
SUV
Truck
iPad
74
51
29
Notebook
142
98
70
Desktop
41
30
37
The p-value is:
p-Value = Round your answer to three decimal places.
Conclusion:
Consider the model y=-2.45x+7.18 derived from data between x=4 and x=10. What value of x represents interpolation of the data?
Data were collected from libraries about the number of patrons who have overdue books and how long they have been using the library.
Years Using Library
1
1
1.5
3
3.5
5
7
10
Number of Overdue Books
12
9
10
6
5
4
2
2
The equation ŷ = 12(0.81)x is a model that fits the data. Which of the following uses the model correctly and is an example of extrapolation?
A patron who has been using the library for 2 years is predicted to have between 7 and 8 overdue books.
A patron who has been using the library for 13 years is predicted to have between 6 and 7 overdue books.
A patron who has been using the library for 2 years is predicted to have more than 94 overdue books.
A patron who has been using the library for 13 years is predicted to have less than 1 overdue book.
Chapter 7 Solutions
INTRODUCTION TO STATISTICS & DATA ANALYS
Ch. 7.1 - State whether each of the following random...Ch. 7.1 - Classify each of the following random variables as...Ch. 7.1 - Starting at a particular time, each car entering...Ch. 7.1 - A point is randomly selected from the interior of...Ch. 7.1 - A point is randomly selected on the surface of a...Ch. 7.1 - Prob. 6ECh. 7.1 - A box contains four slips of paper marked 1, 2, 3,...Ch. 7.2 - Define the random variable x to be the number of...Ch. 7.2 - Using the probability distribution given in the...Ch. 7.2 - Let y denote the number of broken eggs in a...
Ch. 7.2 - Use the probability distribution given in the...Ch. 7.2 - Suppose that fund-raisers at a university call...Ch. 7.2 - Airlines sometimes overbook flights. Suppose that...Ch. 7.2 - Suppose that a computer manufacturer receives...Ch. 7.2 - Simulate the chance experiment described in the...Ch. 7.2 - Of all airline flight requests received by a...Ch. 7.2 - Suppose that 20% of all homeowners in an...Ch. 7.2 - A box contains five slips of paper, marked 1, 1,...Ch. 7.2 - Components coming off an assembly line are either...Ch. 7.2 - When applying for a building permit, a contractor...Ch. 7.2 - A library subscribes to two different weekly news...Ch. 7.3 - Let x denote the lifetime (in thousands of hours)...Ch. 7.3 - Using the density curve for fan lifetime given in...Ch. 7.3 - A particular professor never dismisses class...Ch. 7.3 - Refer to the probability distribution given in the...Ch. 7.3 - The article Probabilistic Risk Assessment of...Ch. 7.3 - Use the density curve of x = distance of actual...Ch. 7.3 - Let x denote the amount of gravel sold (in tons)...Ch. 7.3 - Use the density curve for x = amount of gravel...Ch. 7.3 - Let x be the amount of time (in minutes) that a...Ch. 7.3 - Ref erring to the previous exercise, let x and y...Ch. 7.3 - The density curve for the random variable w (the...Ch. 7.4 - Consider selecting a household in rural Thailand...Ch. 7.4 - Suppose the probability distribution of x, the...Ch. 7.4 - Consider the following probability distribution...Ch. 7.4 - Referring to the previous exercise, use the result...Ch. 7.4 - Exercise 7.8 gave the following probability...Ch. 7.4 - Prob. 38ECh. 7.4 - Prob. 39ECh. 7.4 - Refer to the information given in Exercise 7.39....Ch. 7.4 - Refer to the information given in Exercise 7.39....Ch. 7.4 - Suppose that for a particular computer...Ch. 7.4 - A local television station sells 15-second,...Ch. 7.4 - An author has written a book and submitted it to a...Ch. 7.4 - A grocery store has an express line for customers...Ch. 7.4 - An appliance dealer sells three different models...Ch. 7.4 - To assemble a piece of furniture, a wood peg must...Ch. 7.4 - A multiple-choice exam consists of 50 questions....Ch. 7.4 - Consider a game in which a red die and a blue die...Ch. 7.4 - Consider the random variables xR and xB defined in...Ch. 7.5 - CBS News reported that 4% of adult Americans have...Ch. 7.5 - Flight View surveyed 2600 North American airline...Ch. 7.5 - Refer to the previous exercise, and suppose that...Ch. 7.5 - Twenty-five percent of the customers of a grocery...Ch. 7.5 - Example 7.18 described a study in which a person...Ch. 7.5 - Information Security Buzz provides news for the...Ch. 7.5 - A breeder of show dogs is interested in the number...Ch. 7.5 - Womens Health Magazine surveyed 1187 readers to...Ch. 7.5 - Prob. 60ECh. 7.5 - Suppose that the probability is 0.1 that any given...Ch. 7.5 - Suppose that 30% of all automobiles undergoing an...Ch. 7.5 - Suppose that you will take a multiple-choice exam...Ch. 7.5 - Suppose that 20% of the 10,000 signatures on a...Ch. 7.5 - A city requires that smoke detectors be installed...Ch. 7.5 - Suppose that 90% of all registered California...Ch. 7.5 - Suppose a playlist on a music player consists of...Ch. 7.5 - Sophie is a dog that loves to play catch....Ch. 7.5 - Suppose that 5% of cereal boxes contain a prize...Ch. 7.6 - Determine the following standard normal (z) curve...Ch. 7.6 - Determine the following standard normal (z) curve...Ch. 7.6 - Determine each of the following areas under the...Ch. 7.6 - Determine each of the following areas under the...Ch. 7.6 - Let z denote a random variable that has a standard...Ch. 7.6 - Let z denote a random variable that has a standard...Ch. 7.6 - Let z denote a random variable having a normal...Ch. 7.6 - Let z denote a random variable having a normal...Ch. 7.6 - Let z denote a variable that has a standard normal...Ch. 7.6 - Determine the value z that a. Separates the...Ch. 7.6 - Determine the value of z such that a. z and z...Ch. 7.6 - Because P(z 0.44) = 0.67, 67% of all z values are...Ch. 7.6 - Consider the population of all 1-gallon cans of...Ch. 7.6 - Consider babies born in the normal range of 3743...Ch. 7.6 - Use the information on birth weights for babies...Ch. 7.6 - Emissions of nitrogen oxides, which are major...Ch. 7.6 - The paper referenced in Example 7.30 (Estimating...Ch. 7.6 - The size of the left upper chamber of the heart is...Ch. 7.6 - The paper referenced in the previous exercise also...Ch. 7.6 - The article New York Citys Graffiti-Removal...Ch. 7.6 - A machine that cuts corks for wine bottles...Ch. 7.6 - Refer to the previous exercise. Suppose that there...Ch. 7.6 - Purchases made at small corner stores were studied...Ch. 7.6 - The time that it takes a randomly selected job...Ch. 7.6 - Suppose that the distribution of typing speed in...Ch. 7.6 - Consider the typing speed distribution described...Ch. 7.6 - Consider the typing speed distribution described...Ch. 7.7 - The authors of the paper Development of...Ch. 7.7 - The paper Risk Behavior, Decision Making, and...Ch. 7.7 - Prob. 99ECh. 7.7 - Prob. 100ECh. 7.7 - Macular degeneration is the most common cause of...Ch. 7.7 - The following normal probability plot was...Ch. 7.7 - Consider the following 10 observations on the...Ch. 7.7 - Prob. 104ECh. 7.7 - Prob. 105ECh. 7.7 - Prob. 106ECh. 7.7 - Prob. 107ECh. 7.7 - The figure on the next page appeared in the paper...Ch. 7.8 - Let x denote the IQ of an individual selected at...Ch. 7.8 - Suppose that the distribution of x = the number of...Ch. 7.8 - The number of vehicles leaving a turnpike at a...Ch. 7.8 - Suppose that x has a binomial distribution with n...Ch. 7.8 - Prob. 113ECh. 7.8 - Prob. 114ECh. 7.8 - Prob. 115ECh. 7.8 - Suppose that 70% of the bicycles sold by a certain...Ch. 7.8 - Suppose that 25% of the fire alarms in a large...Ch. 7.8 - Suppose that 65% of all registered voters in a...Ch. 7.8 - Flashlight bulbs manufactured by a certain company...Ch. 7.8 - A company that manufactures mufflers for cars...Ch. 7 - Let x denote the duration of a randomly selected...Ch. 7 - A soft-drink machine dispenses only regular Coke...Ch. 7 - A business has six customer service telephone...Ch. 7 - Prob. 124CRCh. 7 - Refer 10 the probability distribution given in...Ch. 7 - A new batterys voltage may be acceptable (A) or...Ch. 7 - A pizza company advertises that it puts 0.5 pounds...Ch. 7 - Suppose that fuel efficiency for a particular...Ch. 7 - A coin is flipped 25 times. Let x be the number of...Ch. 7 - The probability distribution of x, the number of...Ch. 7 - The amount of time spent by a statistical...Ch. 7 - The lifetime of a certain brand of battery is...Ch. 7 - A machine producing vitamin E capsules operates so...Ch. 7 - The Wall Street Journal (February 15, 1972)...Ch. 7 - The longest run of Ss in the sequence SSFSSSSFFS...Ch. 7 - Four peoplea, b, c, and dare waiting to give...Ch. 7 - Kyle and Lygia are going to play a series of...Ch. 7 - Suppose that your statistics professor tells you...Ch. 7 - Suppose that the pH of soil samples taken from a...Ch. 7 - The lightbulbs used to provide exterior lighting...Ch. 7 - Suppose there are approximately 40,000 travel...Ch. 7 - Prob. 2CRECh. 7 - Prob. 3CRECh. 7 - Prob. 5CRECh. 7 - Prob. 6CRECh. 7 - Two shipping services offer overnight delivery of...Ch. 7 - Prob. 8CRECh. 7 - Prob. 9CRECh. 7 - The Cedar Rapids Gazette (November 20, 1999)...Ch. 7 - Prob. 11CRECh. 7 - The article Men, Women at Odds on Gun Control...Ch. 7 - Suppose that a new Internet company Mumble.com...Ch. 7 - Refer to the previous exercise. Suppose that...Ch. 7 - A chemical supply company currently has in stock...Ch. 7 - Prob. 16CRECh. 7 - An experiment was conducted to investigate whether...Ch. 7 - A machine that produces ball bearings has...Ch. 7 - Consider the variable x = time required for a...Ch. 7 - The accompanying data on x = student-teacher ratio...Ch. 7 - Prob. 21CRE
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Cable TV The following table shows the number C. in millions, of basic subscribers to cable TV in the indicated year These data are from the Statistical Abstract of the United States. Year 1975 1980 1985 1990 1995 2000 C 9.8 17.5 35.4 50.5 60.6 60.6 a. Use regression to find a logistic model for these data. b. By what annual percentage would you expect the number of cable subscribers to grow in the absence of limiting factors? c. The estimated number of subscribers in 2005 was 65.3million. What light does this shed on the model you found in part a?arrow_forwardUse this data for the exercises that follow: In 2013, there were roughly 317 million citizens in the United States, and about 40 million were elderly (aged 65 and over).[34] 60. It is predicted that by 2030, one in five U.S. citizens will be elderly. How much greater will the chances of meeting an elderly person be at that time? What policy changes do you foresee if these statistics hold true?arrow_forward. Suppose we wish to assess whether there is a relationship between exercise on campus and students' living arrangements. The data are shown below. No Regular Exercise Sporadic Exercise Regular Exercise Dormitory 32 30 28 On-Campus Apartment 74 64 42 Off-Campus Apartment 110 25 15 At Home 39 6 5 Based on the data, use the chi square test to determine the relationship between exercise and student's living arrangement? Do you think where a person lives affect their exercise status? Let = 0.05.arrow_forward
- Which of the following pairs quantities have a negative correlation? (A) Calorie- intake per day and weight (B) Time spent on studying MMW and final grade in MMW (C) Credit card purchases and savings per month (D) Electric consumption per month and Meralco billarrow_forwardA study was done to look at the relationship between number of vacation days employees take each year and the number of sick days they take each year. The results of the survey are shown below. Vacation Days 11 11 15 4 13 0 3 3 0 5 3 7 Sick Days 3 -0 0 3 0 7 9 9 6 4 10 5 Use the model to predict the number of sick days taken for an employee who took 6 vacation days this year.Sick Days = (Please round your answer to the nearest whole number.) Interpret the slope of the regression line in the context of the question: For every additional vacation day taken, employees tend to take on average 0.58 fewer sick days. As x goes up, y goes down. The slope has no practical meaning since a negative number cannot occur with vacation days and sick days. Interpret the y-intercept in the context of the question: If an employee takes no vacation days, then that employee will take 8 sick days. The average number of sick days is predicted to be 8. The y-intercept has no…arrow_forwardA study was done to look at the relationship between number of lovers college students have had in their lifetimes and their GPAs. The results of the survey are shown below. Lovers 2 1 4 3 0 7 1 4 7 GPA 3.5 3.5 2.6 3.5 3.2 1.7 3.1 2.8 2 Use the model to predict the GPA of a college student who as had 2 lovers.GPA = (Please round your answer to one decimal place.)arrow_forward
- The file P02_26.xlsx lists sales (in millions of dollars) of Dell Computer during the period 1987–1997 (where year 1 corresponds to 1987). Year Sales 1 69 2 159 3 258 4 389 5 546 6 890 7 2014 8 2873 9 3475 10 5296 11 7759 a. Fit a power and an exponential trend curve to these data. Which fits the data better? b. Use your part a answer to predict 1999 sales for Dell. c. Use your part a answer to describe how the sales of Dell have grown from year to year.arrow_forwardThe following data give the percentage of women working in five companies in the retail and trade industry. The percentage of management jobs held by women in each company is also shown. % Working 68 45 73 54 62 % Management 50 22 66 48 34 -select your answer choices- a. scatter diagram (A, B, C) b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables? (positive or negative linear relationship) c. Many different straight lines can be drawn to provide a (linear, exponential, polynomial, logarithmic) approximation of the relationship between x and y.arrow_forwardWhich of the following correctly describes the interpretation of an r2 statistic of 0.673 in a model relating BMI (kg/m2) (X) to frequency of hospital visits (Y)? A) There is a high degree of correlation between BMI and frequency of hospital visits. B) There is a strong, positive relationship between BMI and frequency of hospital visits C) 67.3% of hospital visits are due to elevated levels of BMI D) 67.3% of the variation in frequency of hospital visits is explained by BMIarrow_forward
- From the data given below, calculate Yule's coefficient of association between weight of children and their economic condition, and interpret it. Rich Children Poor Children Below Normal weight 75 23 Above Normal weight 42 42arrow_forwardCasper is studying intelligence, and reports that IQ scores have a µ = 100 and σ = 15. One of her participants has an IQ score of 83. (Hint: Use the population curve.) 1. What is this participant’s z-score? 2. What is this participant’s percentile rank?arrow_forwardIn 2013 the average houshold credit card balance was $9,884. In 2016 the average houshold credit card balance was $11,184. (a) Compute the average yearly change in credit card balance from 2013 to 2016 (b) Use this to predict what the average credit card balance was in:i. 2014ii. 2015iii. 2017iv. 2018 (c) In 2014 the avearge balance was $10,450 and in 2015 the avearge balance was $10,762. Where your predictions good for those years? (d) In 2017 the average balance was $10,821 and in 2018 the aveage balance was $9,333. Where your predictions good for those years?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Probability & Statistics (28 of 62) Basic Definitions and Symbols Summarized; Author: Michel van Biezen;https://www.youtube.com/watch?v=21V9WBJLAL8;License: Standard YouTube License, CC-BY
Introduction to Probability, Basic Overview - Sample Space, & Tree Diagrams; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=SkidyDQuupA;License: Standard YouTube License, CC-BY