Assignment Assignment for Lesson 16.1

Transcription

1 Assignment Assignment for Lesson.1 Name Choosing Circles Sampling Methods and Bias Date 1. Twenty four professional athletes are participating in a charity golf tournament. Each golfer has been given an identification number from 01 through 24. Golfers 01 through 12 are professional football players and golfers 13 through 24 are professional baseball players. Par for the course is 72. The following table shows the golfers tournament scores after the first round. Golfer ID Number Score Golfer ID Number Score a. Create a random sample of six scores from the table. Explain how you created your sample. b. Calculate the average of your sample from part (a). Chapter l Assignments 259

2 c. Create a stratified random sample of six scores from the table. Explain how you created this sample. d. Calculate the average of your sample from part (c). e. Create a cluster sample of six scores from the table. Explain how you created this sample. 260 Chapter l Assignments

3 Name Date f. Calculate the average of your sample from part (e). g. Create a systematic sample of six scores from the table. Explain how you created this sample. h. Calculate the average of your sample from part (g). i. The actual average score is 74. Which of your sample averages was closest to the actual average? Is this what you expected? Explain. Explain how each sampling method is biased. 2. The mayor of a town wants to know how often residents use public transportation. He asks the first 100 people who enter the next town meeting, How many times in a typical week do you use public transportation? Chapter l Assignments 261

4 3. The mayor of a town wants to know how often residents use public transportation. He mails a survey to all town residents asking, How many times in a typical week do you use public transportation? The mayor receives responses from about 4% of the residents. 4. The mayor of a town wants to know how often residents use public transportation. He posts the following question on the town s social networking site: How many times in a typical week do you use public transportation? 262 Chapter l Assignments

5 Assignment Assignment for Lesson.2 Name Surveys and Studies and Experiments, Oh My! Surveys, Studies, and Experiments Date Determine whether the given method of data collection is a sample survey, an observational study, or an experiment. Explain. Then identify the population, the sample, and the characteristic of interest. 1. A high school principal wants to determine if students who work in groups in geometry class receive higher grades than students who do not work in groups. So, he directs 5 of the geometry classes to participate in group work and 5 of the geometry classes to complete their work individually. 2. You are curious about the number of students in your school who would be interested in forming a committee to do volunteer work in the community. You randomly ask 120 students in your school if they would be interested in participating in this type of committee. 3. A researcher wants to know if female professional athletes are more prone to knee injuries than male professional athletes. She gathers data from 6 different sports organizations that have injury records for all of their male and female professional athletes. Chapter l Assignments 263

6 4. You are organizing a survey to learn about the sleeping habits of students in your school. You are interested to know the number of hours students sleep during an average week. a. What is the population of interest? b. How could a representative random sample be selected? c. What is the characteristic of interest? d. Give an example of a question that is unbiased for this survey. 5. A medical researcher wants to determine if there is a connection between the frequency of migraine headaches in adults and changes in weather. The researcher collects data on 75 adults who experience migraine headaches that live in temperate climates and 75 adults who experience migraine headaches that live in climates with varying extremes. a. What is the population of interest? b. What is the sample? c. How could confounding be avoided or addressed? 264 Chapter l Assignments

7 Name Date 6. Researchers conduct an experiment to determine if listening to music has an effect on the heart rates of coma patients. a. What is the question being addressed? b. What is the population of interest? c. What are the treatments in the experiment? d. How will the experimental units be identified and how will they be randomly assigned to a treatment? e. How will the differences in treatments be analyzed and interpreted in order to draw a conclusion? Chapter l Assignments 265

8 266 Chapter l Assignments

9 Assignment Assignment for Lesson.3 Name Do It Yourself Designing and Collecting Data Using a Survey, Study, or Experiment Date Micah is curious about student participation in clubs in his school. He would like to gather data to answer the question: Do female students belong to more school clubs than male students? 1. Do you think that Micah should perform a survey, study, or experiment? Explain. 2. What is the population of interest? 3. What is the characteristic of interest? 4. Explain how Micah should carry out his survey, study, or experiment. Chapter l Assignments 267

10 An algebra teacher is curious to learn more about a new tutoring program. She would like to gather data to answer the question: Do students who use the new tutoring program receive higher algebra test scores than students not using the program? 5. Do you think that the algebra teacher should perform a survey, study, or experiment? Explain. 6. What is the population of interest? 7. What is the characteristic of interest? 8. Explain how the algebra teacher should carry out her survey, study, or experiment. 268 Chapter l Assignments

11 Assignment Assignment for Lesson.4 Name Date Numbers, Graphs, and Conclusions Interpreting Results and Drawing Conclusions from a Survey, Study, or Experiment Suppose that you are curious about the students in your school who have part-time jobs and the number of hours that they work each week. So, you selected a random sample of 24 students in your school who have part-time jobs and asked them the average number of hours they work each week. The results are shown in the table. Number of Hours Students with Part-Time Jobs Work Each Week Student ID Number Number of Hours Student ID Number Number of Hours Create a dot plot of the data. Chapter l Assignments 269

12 2. Create a histogram of the data. 3. Create a stem-and-leaf plot of the data. 4. Create a box-and-whisker plot of the data. 270 Chapter l Assignments

13 Name Date 5. Calculate the mean, median, and mode of the data. Which measure of central tendency best describes the data? Explain. 6. Describe the symmetry of the data. 7. Use a calculator to determine the standard deviation of the data. 8. Describe the dispersion of the data. Chapter l Assignments 271

14 272 Chapter l Assignments