Statistics for Business & Economics, Revised (MindTap Course List)
12th Edition
ISBN: 9781285846323
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran
Publisher: South-Western College Pub
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Chapter 4.4, Problem 38E
Students in grades 3 through 8 in New York State are required to take a state mathematics exam. To meet the state’s proficiency standards, a student must demonstrate an understanding of the mathematics expected at his or her grade level. The following data show the number of students tested in the New York City school system for grades 3 through 8 and the number who met and did not meet the proficiency standards on the exam (New York City Department of Education website, January 16, 2010).
| Met Proficiency Standards? | ||
| Grade | Yes | No |
| 3 | 47,401 | 23,975 |
| 4 | 35,020 | 34,740 |
| 5 | 36,062 | 33,540 |
| 6 | 36,361 | 32,929 |
| 7 | 40,945 | 29,768 |
| 8 | 40,720 | 31,931 |
- a. Develop a joint
probability table for these data. - b. What are the marginal probabilities? What do they tell about the probabilities of a student meeting or not meeting the proficiency standards on the exam?
- c. If a randomly selected student is a third grader, what is the probability that the student met the proficiency standards? If the student is a fourth grader, what is the probability that the student met the proficiency standards?
- d. If a randomly selected student is known to have met the proficiency standards on the exam, what is the probability that the student is a third grader? What is the probability if the student is a fourth grader?
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StatePercentage Proficient in ReadingPercentage Proficient in MathematicsCalifornia6059Texas7378New York7570Florida6668Illinois7570Pennsylvania7977Ohio7976Michigan7366Georgia6764North Carolina7173
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Chapter 4 Solutions
Statistics for Business & Economics, Revised (MindTap Course List)
Ch. 4.1 - An experiment has three steps with three outcomes...Ch. 4.1 - How many ways can three items be selected from a...Ch. 4.1 - How many permutations of three items can be...Ch. 4.1 - Consider the experiment of tossing a coin three...Ch. 4.1 - Suppose an experiment has five equally likely...Ch. 4.1 - An experiment with three outcomes has been...Ch. 4.1 - A decision maker subjectively assigned the...Ch. 4.1 - In the city of Milford, applications for zoning...Ch. 4.1 - Simple random sampling uses a sample of size n...Ch. 4.1 - Many students accumulate debt by the time they...
Ch. 4.1 - The National Occupant Protection Use Survey...Ch. 4.1 - The Powerball lottery is played twice each week in...Ch. 4.1 - A company that manufactures toothpaste is studying...Ch. 4.2 - An experiment has four equally likely outcomes:...Ch. 4.2 - Consider the experiment of selecting a playing...Ch. 4.2 - Consider the experiment of rolling a pair of dice....Ch. 4.2 - Refer to the KPL sample points and sample point...Ch. 4.2 - To investigate how often families eat at home,...Ch. 4.2 - Do you think the government protects investors...Ch. 4.2 - Fortune magazine publishes an annual list of the...Ch. 4.2 - Data on U.S. work-related fatalities by cause...Ch. 4.3 - Suppose that we have a sample space with five...Ch. 4.3 - Suppose that we have a sample space S = {E1, E2,...Ch. 4.3 - Clarkson University surveyed alumni to learn more...Ch. 4.3 - The U.S. Census Bureau provides data on the number...Ch. 4.3 - Information about mutual funds provided by...Ch. 4.3 - What NCAA college basketball conferences have the...Ch. 4.3 - A survey of magazine subscribers showed that 45.8%...Ch. 4.3 - High school seniors with strong academic records...Ch. 4.4 - Suppose that we have two events, A and B, with...Ch. 4.4 - Assume that we have two events, A and B, that are...Ch. 4.4 - The automobile industry sold 657,000 vehicles in...Ch. 4.4 - Students taking the Graduate Management Admissions...Ch. 4.4 - The U.S. Department of Transportation reported...Ch. 4.4 - According to the Ameriprise Financial Money Across...Ch. 4.4 - Jamal Crawford of the National Basketball...Ch. 4.4 - Visa Card USA studied how frequently young...Ch. 4.4 - Students in grades 3 through 8 in New York State...Ch. 4.5 - The prior probabilities for events A1 and A2 are...Ch. 4.5 - The prior probabilities for events A1, A2, and A3...Ch. 4.5 - A consulting firm submitted a bid for a large...Ch. 4.5 - A local bank reviewed its credit card policy with...Ch. 4.5 - Two Wharton professors analyzed 1,613,234 putts by...Ch. 4.5 - According to the Open Doors 2011 Report, 9.5% of...Ch. 4.5 - In an article about investment alternatives, Money...Ch. 4 - The Wall Street Journal/Harris Personal Finance...Ch. 4 - A financial manager made two new investmentsone in...Ch. 4 - Forty-three percent of Americans use social media...Ch. 4 - A study of 31,000 hospital admissions in New York...Ch. 4 - A telephone survey to determine viewer response to...Ch. 4 - The following crosstabulation shows household...Ch. 4 - An MBA new-matriculants survey provided the...Ch. 4 - Refer again to the data from the MBA...Ch. 4 - In February 2012, the Pew Internet American Life...Ch. 4 - A large consumer goods company ran a television...Ch. 4 - Cooper Realty is a small real estate company...Ch. 4 - A company studied the number of lost-time...Ch. 4 - A survey showed that 8% of Internet users age 18...Ch. 4 - An oil company purchased an option on land in...Ch. 4 - The five most common words appearing in spam...Ch. 4 - Hamilton County Judges Hamilton County judges try...
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