
Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 2, Problem 3P
For each of the following data sets, create a stem plot and identify any outliers.
The data are the prices of different laptops at an electronics store. Round each value to the nearest ten.
249, 249, 260, 265, 265, 280, 299, 299, 309, 319, 325, 326, 350, 350, 350, 365, 369, 389, 409, 459, .189, 559, 569, 570, 610
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
3. Bayesian Inference – Updating Beliefs
A medical test for a rare disease has the following characteristics:
Sensitivity (true positive rate): 99%
Specificity (true negative rate): 98%
The disease occurs in 0.5% of the population.
A patient receives a positive test result.
Questions:
a) Define the relevant events and use Bayes’ Theorem to compute the probability that the patient actually has the disease.b) Explain why the result might seem counterintuitive, despite the high sensitivity and specificity.c) Discuss how prior probabilities influence posterior beliefs in Bayesian inference.d) Suppose a second, independent test with the same accuracy is conducted and is also positive. Update the probability that the patient has the disease.
4. Linear Regression - Model Assumptions and Interpretation
A real estate analyst is studying how house prices (Y) are related to house size in square feet (X). A simple
linear regression model is proposed:
The analyst fits the model and obtains:
•
Ŷ50,000+150X
YBoB₁X + €
•
R² = 0.76
• Residuals show a fan-shaped pattern when plotted against fitted values.
Questions:
a) Interpret the slope coefficient in context.
b) Explain what the R² value tells us about the model's performance.
c) Based on the residual pattern, what regression assumption is likely violated? What might be the
consequence?
d) Suggest at least two remedies to improve the model, based on the residual analysis.
5. Probability Distributions – Continuous Random Variables
A factory machine produces metal rods whose lengths (in cm) follow a continuous uniform distribution on the interval [98, 102].
Questions:
a) Define the probability density function (PDF) of the rod length.b) Calculate the probability that a randomly selected rod is shorter than 99 cm.c) Determine the expected value and variance of rod lengths.d) If a sample of 25 rods is selected, what is the probability that their average length is between 99.5 cm and 100.5 cm? Justify your answer using the appropriate distribution.
Chapter 2 Solutions
Introductory Statistics
Ch. 2 - For the Park City basketball team, scores for the...Ch. 2 - The following data show the distances (in miles)...Ch. 2 - The table shows the number of sins and losses the...Ch. 2 - In a survey, 40 people were asked how many times...Ch. 2 - The population in Park City is made up of...Ch. 2 - Park city is broken down into six voting...Ch. 2 - The following data are the shoe sizes of 50 male...Ch. 2 - The following data are the number of sports played...Ch. 2 - The following data represent the number of...Ch. 2 - Construct a frequency polygon of U.S. Presidents’...
Ch. 2 - The following table is a portion of a data set...Ch. 2 - For the following 11 salaries, calculate the IQR...Ch. 2 - Find the interquartile range for the following two...Ch. 2 - Forty bus drivers were asked how many hours they...Ch. 2 - Refer to the Table 223. Find the third quartile....Ch. 2 - Listed are 29 ages for Academy Award sinning best...Ch. 2 - Listed are 30 ages for Academy Award winning best...Ch. 2 - For the 100-meter dash, the third quartile for...Ch. 2 - On a 60 point written assignment, the 80th...Ch. 2 - During a season, the 40th percentile for points...Ch. 2 - The following data are the number of pages In 40...Ch. 2 - The folloising data set show’s the heights in...Ch. 2 - Follow the steps you used to graph a...Ch. 2 - The following data show the number of months...Ch. 2 - In a sample of 60 households, one house is worth...Ch. 2 - The number of books checked out from the library...Ch. 2 - Five credit scores are 680, 680, 700, 720, 720....Ch. 2 - Mails conducted a study on the effect that playing...Ch. 2 - Discuss the mean, median, and mode for each of the...Ch. 2 - On a baseball team, the ages of each of the...Ch. 2 - The following data show the different types of pet...Ch. 2 - Find the standard deviation for the data from the...Ch. 2 - Two swimmers, Angie and Beth, from different...Ch. 2 - For each of the following data sets, create a stem...Ch. 2 - For each of the following data sets, create a stem...Ch. 2 - For each of the following data sets, create a stem...Ch. 2 - For each of the following data sets, create a stem...Ch. 2 - For each of the following data sets, create a stem...Ch. 2 - For each of the following data sets, create a stem...Ch. 2 - For each of the following data sets, create a stem...Ch. 2 - The students in Ms. Ramirez’s math class have...Ch. 2 - Using the data from Mrs. Ramirez’s math class...Ch. 2 - David County has six high schools. Each school...Ch. 2 - Use the data from the David County science...Ch. 2 - Sixty-five randomly selected car salespersons were...Ch. 2 - What does the frequency column in Table 2.42 sum...Ch. 2 - What does the relative frequency column in Table...Ch. 2 - What is the difference between relative frequency...Ch. 2 - What is the difference between cumulative relative...Ch. 2 - To construct the histogram for the data in Table...Ch. 2 -
Ch. 2 - Construct a frequency polygon from the frequency...Ch. 2 - Use the two frequency tables to compare the life...Ch. 2 - Construct a times series graph for (a) the number...Ch. 2 - The following data sets List full time police per...Ch. 2 - Listed are 29 ages for Academy Award winning best...Ch. 2 - Listed are 32 ages for Academy Award winning best...Ch. 2 - Jesse was ranked 37th in his graduating class of...Ch. 2 - a. For runners in a race, a low time means a...Ch. 2 - a. For runners in a race, a higher speed means a...Ch. 2 - On an exam, would it be more desirable to earn a...Ch. 2 - Mina is waiting in line at the Department of Motor...Ch. 2 - In a survey collecting data about the salaries...Ch. 2 - In a study collecting data about the repair costs...Ch. 2 - The University of California has two criteria used...Ch. 2 - Suppose that you are buying a house. You and your...Ch. 2 - First quartile = _______Ch. 2 - Second quartile = median = 50th percentile =Ch. 2 - Third quartile = _______Ch. 2 - Interquartile range (IQR) = _____ — _____Ch. 2 - Inteiquartile range (IQR = _____ — _____ = _____...Ch. 2 - percentile = _______Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the next...Ch. 2 - Find the mean for the following frequency tables.Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the next...Ch. 2 - When the data are skewed left, what is the typical...Ch. 2 - When the data are symmetrical, what is the typical...Ch. 2 - What word describes a distribution that has two...Ch. 2 - Describe the shape of this distribution. Figure...Ch. 2 - Describe the relationship between the mode and the...Ch. 2 - Describe the relationship between the mean and the...Ch. 2 - Describe the shape of this distribution. Figure...Ch. 2 - Describe the relationship between the mode and the...Ch. 2 - Are the mean and the median the exact same in this...Ch. 2 - Describe the shape of this distribution. Figure...Ch. 2 - Describe the relationship between the mode and the...Ch. 2 - Describe the relationship between the mean and the...Ch. 2 - The mean and median for the data are the same. 3;...Ch. 2 - Which is the greatest, the mean, the mode, or the...Ch. 2 - Which is the least, the mean, the mode, and the...Ch. 2 - Of the three measures, which tends to reflect...Ch. 2 - In a perfectly symmetrical distribution, when...Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the next...Ch. 2 - Two baseball players, Fredo and Karl, on different...Ch. 2 - Use Table 2.57 to find the value that is three...Ch. 2 - Find the standard deviation for the following...Ch. 2 - Student grades on a chemistry exam were: 77, 78,...Ch. 2 - Table 2.61 contains the 2010 obesity rates in U.S....Ch. 2 - Suppose that three book publishers were interested...Ch. 2 - Often, cruise ships conduct all on-board...Ch. 2 - Twenty-five randomly selected students were asked...Ch. 2 - The percentage of people who own at most three...Ch. 2 - If the data were collected by asking the first 111...Ch. 2 - Following are the 2010 obesity rates by U.S....Ch. 2 - The median age for U.S. blacks currently is 30.9...Ch. 2 - Six hundred adult Americans were asked by...Ch. 2 - Given the following box plot: Figure 2.41 a. which...Ch. 2 - The following box plot shows the U.S. population...Ch. 2 - In a survey of 2O-year-olds in China, Germany, and...Ch. 2 - Given the following box plot, answer the...Ch. 2 - Given the following box plots, answer t*...Ch. 2 - A survey was conducted of 130 purchases of new BMW...Ch. 2 - Twenty-five randomly selected students were asked...Ch. 2 - The most obese countries in the world have obesity...Ch. 2 - Table 2.72 gives the percent of children under...Ch. 2 - The median age of the U.S. population in 1980 was...Ch. 2 - Use the following information to answer the neat...Ch. 2 - Use the following information to answer the neat...Ch. 2 - Use the following information to answer the neat...Ch. 2 - Use the following information to answer the neat...Ch. 2 - Use the following information to answer the neat...Ch. 2 - Use the following information to answer the neat...Ch. 2 - Use the following information to answer the neat...Ch. 2 - Use the following information to answer the neat...Ch. 2 - Use the following information to answer the neat...Ch. 2 - Three students were applying to the same graduate...Ch. 2 - A music school has budgeted to purchase three...Ch. 2 - An elementary school class ran one mile with a...Ch. 2 - The most obese countries in the world have obesity...Ch. 2 - Table 2.76 gives the percent of children under...Ch. 2 - Santa, Clara Country, Ca, has approximately 27,873...Ch. 2 - Javier and Ercilia are supervisors at a shopping...Ch. 2 - What is the IQR? a. 8 b. 11 C. 15 d. 35Ch. 2 - What is the mode? a. 19 b. 19.5 c. 1and 20 d....Ch. 2 - Is this a sample or the entire population? a....Ch. 2 - Twenty-five randomly selected students were asked...Ch. 2 - Forty randomly selected students were asked the...Ch. 2 - Following are the published weights (in pounds) of...Ch. 2 - One hundred teachers attended a seminar on...Ch. 2 - Refer to Figure 2.50 determine which of the...Ch. 2 - In a recent issue of the IFFF Spectrum, 84...Ch. 2 - A survey of enrollment at 35 community colleges...Ch. 2 - Use the following information to answer the next...Ch. 2 - Use the following information to answer the not...Ch. 2 - Suppose that a publisher conducted a survey asking...
Additional Math Textbook Solutions
Find more solutions based on key concepts
A categorical variable has three categories, with the following frequencies of occurrence: a. Compute the perce...
Basic Business Statistics, Student Value Edition
Graph the functions in Exercises 9 and 10. Then answer these questions.
What are the domain and range of f?
At ...
University Calculus: Early Transcendentals (4th Edition)
A pair of fair dice is rolled. What is the probability that the second die lands on a higher value than does th...
A First Course in Probability (10th Edition)
Version 2 of the Chain Rule Use Version 2 of the Chain Rule to calculate the derivatives of the following funct...
Calculus: Early Transcendentals (2nd Edition)
TRY IT YOURSELF 1
Find the mean of the points scored by the 51 winning teams listed on page 39.
Elementary Statistics: Picturing the World (7th Edition)
Additional Exercises 8185. Vector properties Prove the following vector properties using components. Then make ...
Calculus: Early Transcendentals (2nd Edition)
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
- 2. Hypothesis Testing - Two Sample Means A nutritionist is investigating the effect of two different diet programs, A and B, on weight loss. Two independent samples of adults were randomly assigned to each diet for 12 weeks. The weight losses (in kg) are normally distributed. Sample A: n = 35, 4.8, s = 1.2 Sample B: n=40, 4.3, 8 = 1.0 Questions: a) State the null and alternative hypotheses to test whether there is a significant difference in mean weight loss between the two diet programs. b) Perform a hypothesis test at the 5% significance level and interpret the result. c) Compute a 95% confidence interval for the difference in means and interpret it. d) Discuss assumptions of this test and explain how violations of these assumptions could impact the results.arrow_forward1. Sampling Distribution and the Central Limit Theorem A company produces batteries with a mean lifetime of 300 hours and a standard deviation of 50 hours. The lifetimes are not normally distributed—they are right-skewed due to some batteries lasting unusually long. Suppose a quality control analyst selects a random sample of 64 batteries from a large production batch. Questions: a) Explain whether the distribution of sample means will be approximately normal. Justify your answer using the Central Limit Theorem. b) Compute the mean and standard deviation of the sampling distribution of the sample mean. c) What is the probability that the sample mean lifetime of the 64 batteries exceeds 310 hours? d) Discuss how the sample size affects the shape and variability of the sampling distribution.arrow_forwardA biologist is investigating the effect of potential plant hormones by treating 20 stem segments. At the end of the observation period he computes the following length averages: Compound X = 1.18 Compound Y = 1.17 Based on these mean values he concludes that there are no treatment differences. 1) Are you satisfied with his conclusion? Why or why not? 2) If he asked you for help in analyzing these data, what statistical method would you suggest that he use to come to a meaningful conclusion about his data and why? 3) Are there any other questions you would ask him regarding his experiment, data collection, and analysis methods?arrow_forward
- Businessarrow_forwardWhat is the solution and answer to question?arrow_forwardTo: [Boss's Name] From: Nathaniel D Sain Date: 4/5/2025 Subject: Decision Analysis for Business Scenario Introduction to the Business Scenario Our delivery services business has been experiencing steady growth, leading to an increased demand for faster and more efficient deliveries. To meet this demand, we must decide on the best strategy to expand our fleet. The three possible alternatives under consideration are purchasing new delivery vehicles, leasing vehicles, or partnering with third-party drivers. The decision must account for various external factors, including fuel price fluctuations, demand stability, and competition growth, which we categorize as the states of nature. Each alternative presents unique advantages and challenges, and our goal is to select the most viable option using a structured decision-making approach. Alternatives and States of Nature The three alternatives for fleet expansion were chosen based on their cost implications, operational efficiency, and…arrow_forward
- The following ordered data list shows the data speeds for cell phones used by a telephone company at an airport: A. Calculate the Measures of Central Tendency from the ungrouped data list. B. Group the data in an appropriate frequency table. C. Calculate the Measures of Central Tendency using the table in point B. 0.8 1.4 1.8 1.9 3.2 3.6 4.5 4.5 4.6 6.2 6.5 7.7 7.9 9.9 10.2 10.3 10.9 11.1 11.1 11.6 11.8 12.0 13.1 13.5 13.7 14.1 14.2 14.7 15.0 15.1 15.5 15.8 16.0 17.5 18.2 20.2 21.1 21.5 22.2 22.4 23.1 24.5 25.7 28.5 34.6 38.5 43.0 55.6 71.3 77.8arrow_forwardII Consider the following data matrix X: X1 X2 0.5 0.4 0.2 0.5 0.5 0.5 10.3 10 10.1 10.4 10.1 10.5 What will the resulting clusters be when using the k-Means method with k = 2. In your own words, explain why this result is indeed expected, i.e. why this clustering minimises the ESS map.arrow_forwardwhy the answer is 3 and 10?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning

Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL

Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill

Big Ideas Math A Bridge To Success Algebra 1: Stu...
Algebra
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:Houghton Mifflin Harcourt

Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning

College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Which is the best chart: Selecting among 14 types of charts Part II; Author: 365 Data Science;https://www.youtube.com/watch?v=qGaIB-bRn-A;License: Standard YouTube License, CC-BY