11-7 Solve It! This is a good sample problem! One day, you catch 100 fish at random from a lake. You tag the fish and then release them back into the lake. The next day you again catch 100 fish at random, as shown on the map. The red dots indicate the fish that have your tags. What can you conclude? Justify your conclusion. 11-7 Lesson Quiz 1. Identify the sampling method used and any bias the sample might have: A survey is taken by the student council of the first twenty students buying lunch in the cafeteria to see whether students think the cafeteria lunch is a good value. 2. What if any bias is in this survey question: Don’t you think that not taking the bus is irresponsible? 3. Do you UNDERSTAND? The student council is considering petitioning the school board for permission to change the school colors. What sampling method could you use to find the percent of students who would favor a change of school colors? What survey question would you ask to avoid bias? Answers Solve It! Lesson Quiz There are about 3333 fish in the lake. You can estimate that for every 3 fish you tagged, there are 97 additional fish. 100 3 5 33.3 and 33.3 3 100 5 3333. 1. convenience sample; people who are eager for lunch may be overrepresented 2. Samples: double negative, this may cause confusion; leading, suggests not take the bus is irresponsible 3. Ask every tenth student in the alphabetical directory for a systematic sample. A good survey question would be, “Would you favor a change in school colors?” Prentice Hall Algebra 2 • Solve It/Lesson Quiz on Transparencies Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 76
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