Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4, Problem 125H
The chance of an IRS audit for a tax return with over $25.000 in income Is about 2% per year. Suppose that 100 people with tax returns over $25000 are randomly picked. We are Interested In the number of people audited In one ear. Use a Poisson distribution to answer the following questions.
a. In words, define the random variable X.
b. List the values that X may take on.
c. Give the distribution of X. X _____( )
d. How many are expected to be audited?
e. Find the
f. Find the probability that at least three were audited.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
An Arts group holds a raffle. Each raffle ticket costs $2 and the raffle consists of 2500 tickets. The prize is a vacation worth $3,000.
a. Determine your expected value if you buy one ticket.
b. Determine your expected value if you buy five tickets.
How much will the Arts group gain or lose if they sell all the tickets?
Please show as much work as possible to clearly show the steps you used to find each solution. If you plan to use a calculator, please be sure to clearly indicate your strategy.
Consider the following game. It costs $3 each time you roll a six-sided number cube. If you roll a 6 you win $15. If you roll any other number, you receive nothing.
a) Find the expected value of the game.
b) If you play this game many times, will you expect to gain or lose money?
=
12:02
WeBWorK / 2024 Fall Rafeek MTH23 D02
/ 9.2 Testing the Mean mu / 3
38
WEBWORK
Previous Problem
Problem List
Next Problem
9.2 Testing the Mean mu:
Problem 3
(1 point)
Test the claim that the population of sophomore college
students has a mean grade point average greater than 2.2.
Sample statistics include n = 71, x = 2.44, and s = 0.9.
Use a significance level of a = 0.01.
The test statistic is
The P-Value is between :
The final conclusion is
< P-value <
A. There is sufficient evidence to support the claim that
the mean grade point average is greater than 2.2.
○ B. There is not sufficient evidence to support the claim
that the mean grade point average is greater than 2.2.
Note: You can earn partial credit on this problem.
Note: You are in the Reduced Scoring Period. All work counts for
50% of the original.
Preview My Answers Submit Answers
You have attempted this problem 0 times.
You have unlimited attempts remaining.
.
Oli
wwm01.bcc.cuny.edu
Chapter 4 Solutions
Introductory Statistics
Ch. 4 - A hospital researcher Is Interested In the number...Ch. 4 - Jeremiah has basketball practice two days a week....Ch. 4 - A hospital researcher is interested in the number...Ch. 4 - You are playing a game of chance In which four...Ch. 4 - Suppose you play a game with a spinner. You play...Ch. 4 - On Ma 11, 2013 at 9:30 PM. the probability that...Ch. 4 - The state health board is concerned about the...Ch. 4 - A trainer is teaching a dolphin to do tricks. The...Ch. 4 - A fair, six-sided die is rolled ten times. Each...Ch. 4 - Sixty-five percent of people pass the state...
Ch. 4 - About 32% of students participate in a community...Ch. 4 - According to a Gallup poll, 60% of American adults...Ch. 4 - During the 2013 regular NBA season. DeAndre Jordan...Ch. 4 - A lacrosse team is selecting a captain. The names...Ch. 4 - You throw darts at a board until you hit the...Ch. 4 - An instructor feels that 15% of students get below...Ch. 4 - You need to find a store that carries a special...Ch. 4 - The probability of a defective steel rod is 0.01....Ch. 4 - The literacy rate for a nation measures the...Ch. 4 - A bag contains letter tiles. Forty-four of the...Ch. 4 - A gross of eggs contains 144 eggs. A particular...Ch. 4 - A palette has 200 milk cartons. Of the 200 canons,...Ch. 4 - An intramural basketball team Is to be chosen...Ch. 4 - The average number of fish caught In an hour Is...Ch. 4 - An electronics store expects to have ten returns...Ch. 4 - An emergency room at a particular hospital gets an...Ch. 4 - A customer service center receives about ten...Ch. 4 - According to a recent poll by the Pew Internet...Ch. 4 - Atlanta’s Hartsfield-Jackson International Airport...Ch. 4 - On May 13, 2013, starting at 4:30 PM, the...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Use the following information o answer the next...Ch. 4 - Suppose that the PDF for the number of years it...Ch. 4 - A theater group holds a fund-raiser. It sells 100...Ch. 4 - A game Involves selecting a card from a regular...Ch. 4 - You buy a lottery ticket to a lottery that costs...Ch. 4 - Complete the PDF and answer the questions. a. Find...Ch. 4 - Suppose that you are offered the following deal.’...Ch. 4 - A venture capitalist, willing to invest...Ch. 4 - Suppose that 20,000 married adults in the United...Ch. 4 - Suppose that the PDF for the number of years It...Ch. 4 - People visiting video rental stores often rent...Ch. 4 - A friend’ offers you the following deal. For a $10...Ch. 4 - Florida State University has 14 statistics classes...Ch. 4 - In a lottery, there are 250 prizes of $5. 50...Ch. 4 - According to a recent ankle the average number of...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following information to answer the next...Ch. 4 - People visiting video rental stores often rent...Ch. 4 - A school newspaper reporter decides to randomly...Ch. 4 - Use the following information to answer the next...Ch. 4 - Use the following infonnanors to answer the next...Ch. 4 - What is the probability that the San Jose Sharks...Ch. 4 - A student takes a ten-question true-false quiz,...Ch. 4 - A student takes a 32-question multiple-choice...Ch. 4 - Six different colored dice are rolled. Of interest...Ch. 4 - More than 96 percent of the veiy Largest colleges...Ch. 4 - Suppose that about 85% of graduating students...Ch. 4 - At The Fencing Center. 60% of the fencers use the...Ch. 4 - Approximately 8% of students at a local high...Ch. 4 - The chance of an IRS audit for a tax return with...Ch. 4 - It has been estimated that only about 30% of...Ch. 4 - There are two similar games played for Chinese New...Ch. 4 - According to The World Bank, only 9% of the...Ch. 4 - The literacy rate for a nation measures the...Ch. 4 - A consumer looking to buy a used red Miata car...Ch. 4 - Suppose that the probability that an adult In...Ch. 4 - It has been estimated that only about 3000 of...Ch. 4 - In one of its Spring catalogs, Li. Beans...Ch. 4 - Suppose that you are performing the probability...Ch. 4 - Ellen has music practice three days a week. She...Ch. 4 - The World Bank records the prevalence of HIV In...Ch. 4 - According to a recent Pew Research poll, 75% of...Ch. 4 - A group of Martial Arts students Is planning on...Ch. 4 - In one of its Spring catalogs, L.L. Bean...Ch. 4 - Suppose that a technology task force Is being...Ch. 4 - Suppose that nine Massachusetts athletes are...Ch. 4 - A bridge hand Is defined as 13 cards selected at...Ch. 4 - The switchboard in a Minneapolis law office gets...Ch. 4 - The matemity ward at Dr. Jose Fabella Memorial...Ch. 4 - A manufacturer of Christmas tree light bulbs knows...Ch. 4 - The average number of children a Japanese woman...Ch. 4 - The average number of children a Spanish woman has...Ch. 4 - Fertile, female cats produce an average of three...Ch. 4 - The chance of having an extra fortune In a fortune...Ch. 4 - According to the South Carolina Department of...Ch. 4 - The chance of an IRS audit for a tax return with...Ch. 4 - Approximately 8% of students at a local high...Ch. 4 - On average, Pierre, an amateur chef, drops three...Ch. 4 - Use the following information to answer the next v...Ch. 4 - Use the following information to answer the next v...
Additional Math Textbook Solutions
Find more solutions based on key concepts
CHECK POINT 1 Write a word description of the set L = {a, b, c, d, e, f}.
Thinking Mathematically (6th Edition)
Disks/washers about the y-axis Let R be the region bounded by the following curves. Use the disk or washer meth...
Calculus: Early Transcendentals (2nd Edition)
In hypothesis testing, the common level of significance is =0.05. Some might argue for a level of significance ...
Basic Business Statistics, Student Value Edition
Find the volumes of the solids generated by revolving the regions bounded by the lines and curves in Exercises ...
University Calculus: Early Transcendentals (4th Edition)
A box contains 3 marbles: 1 red, 1 green, and 1 blue. Consider an experiment that consists of taking 1 marble f...
A First Course in Probability (10th 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
- There are four white, fourteen blue and five green marbles in a bag. A marble is selected from the bag without looking. Find the odds of the following: The odds against selecting a green marble. The odds in favour of not selecting a green marble The odds in favor of the marble selected being either a white or a blue marble. What is true about the above odds? Explainarrow_forwardPlease show as much work as possible to clearly show the steps you used to find each solution. If you plan to use a calculator, please be sure to clearly indicate your strategy. 1. The probability of a soccer game in a particular league going into overtime is 0.125. Find the following: a. The odds in favour of a game going into overtime. b. The odds in favour of a game not going into overtime. c. If the teams in the league play 100 games in a season, about how many games would you expect to go into overtime?arrow_forwardexplain the importance of the Hypothesis test in a business setting, and give an example of a situation where it is helpful in business decision making.arrow_forward
- A college wants to estimate what students typically spend on textbooks. A report fromthe college bookstore observes that textbooks range in price from $22 to $186. Toobtain a 95% confidence level for a confidence interval estimate to plus or minus $10,how many students should the college survey? (We may estimate the populationstandard deviation as (range) ÷ 4.)arrow_forwardIn a study of how students give directions, forty volunteers were given the task ofexplaining to another person how to reach a destination. Researchers measured thefollowing five aspects of the subjects’ direction-giving behavior:• whether a map was available or if directions were given from memory without a map,• the gender of the direction-giver,• the distances given as part of the directions,• the number of times directions such as “north” or “left” were used,• the frequency of errors in directions. Identify each of the variables in this study, and whether each is quantitative orqualitative. For each quantitative variable, state whether it is discrete or continuous. Was this an observational study or an experimental study? Explain your answer.arrow_forwardexplain the difference between the confident interval and the confident level. provide an example to show how to correctly interpret a confidence interval.arrow_forward
- Sketch to scale the orbit of Earth about the sun. Graph Icarus’ orbit on the same set of axesWhile the sun is the center of Earth’s orbit, it is a focus of Icarus’ orbit. There aretwo points of intersection on the graph. Based on the graph, what is the approximate distance between the two points of intersection (in AU)?arrow_forwardThe diameters of ball bearings are distributed normally. The mean diameter is 67 millimeters and the standard deviation is 3 millimeters. Find the probability that the diameter of a selected bearing is greater than 63 millimeters. Round to four decimal places.arrow_forwardSuppose you like to keep a jar of change on your desk. Currently, the jar contains the following: 22 Pennies 27 Dimes 9 Nickels 30 Quarters What is the probability that you reach into the jar and randomly grab a penny and then, without replacement, a dime? Express as a fraction or a decimal number rounded to four decimal places.arrow_forward
- A box contains 14 large marbles and 10 small marbles. Each marble is either green or white. 9 of the large marbles are green, and 4 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is small or white? Express as a fraction or a decimal number rounded to four decimal places.arrow_forwardCan I get help with this step please? At a shooting range, instructors can determine if a shooter is consistently missing the target because of the gun sight or because of the shooter's ability. If a gun's sight is off, the variance of the distances between the shots and the center of the shot pattern will be small (even if the shots are not in the center of the target). A student claims that it is the sight that is off, not his aim, and wants the instructor to confirm his claim. If a skilled shooter fires a gun at a target multiple times, the distances between the shots and the center of the shot pattern, measured in centimeters (cm), will have a variance of less than 0.33. After the student shoots 28 shots at the target, the instructor calculates that the distances between his shots and the center of the shot pattern, measured in cm, have a variance of 0.25. Does this evidence support the student's claim that the gun's sight is off? Use a 0.025 level of significance. Assume that the…arrow_forwardThe National Academy of Science reported that 38% of research in mathematics is published by US authors. The mathematics chairperson of a prestigious university wishes to test the claim that this percentage is no longer 38%. He has no indication of whether the percentage has increased or decreased since that time. He surveys a simple random sample of 279 recent articles published by reputable mathematics research journals and finds that 123 of these articles have US authors. Does this evidence support the mathematics chairperson's claim that the percentage is no longer 38 % ? Use a 0.02 level of significance. Compute the value of the test statistic. Round to two decimal places.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Statistics 4.1 Point Estimators; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=2MrI0J8XCEE;License: Standard YouTube License, CC-BY
Statistics 101: Point Estimators; Author: Brandon Foltz;https://www.youtube.com/watch?v=4v41z3HwLaM;License: Standard YouTube License, CC-BY
Central limit theorem; Author: 365 Data Science;https://www.youtube.com/watch?v=b5xQmk9veZ4;License: Standard YouTube License, CC-BY
Point Estimate Definition & Example; Author: Prof. Essa;https://www.youtube.com/watch?v=OTVwtvQmSn0;License: Standard Youtube License
Point Estimation; Author: Vamsidhar Ambatipudi;https://www.youtube.com/watch?v=flqhlM2bZWc;License: Standard Youtube License