Math 2311 Written Homework 8 (Sections 6.1 - 6.3) Name:__________________________________ PeopleSoft ID:_______________ Instructions: Homework will NOT be accepted through email or in person. Homework must be submitted through CourseWare BEFORE the deadline. Print out this file and complete the problems. Use blue or black ink or a dark pencil. Write your solutions in the space provided. You must show all work for full credit. Submit this assignment at http://www.casa.uh.edu under \"Assignments" and choose hw8. Total possible points: 15. 1. Section 6.1, Problem 8 identify the population and the sample then describe the sampling method that was used. A machinery manufacturer purchases voltage regulators from 10 different suppliers. There are reports that variation in the output voltage of the regulators is affecting the performance of the finished products. To assess the quality of the suppliers' production, the manufacturer sends a random sample of 5 regulators from each of his suppliers' last shipments to a lab for study. 2. Section 6.1, Problem 12 determine if the study is an experiment or an observational study. Give a reason for your answer. A medical researcher is interested in testing a new medicine for migraine headaches. She selects an SRS of 100 adults who get migraines at a rate of one or more per week. Half of the selected adults will receive the new medicine while half will receive a placebo. The researcher will compare all results. 3. Section 6.1, Problem 14 You are asked to conduct an interview of 6 randomly selected employees at your company to answer insurance questions. Use the random digit table starting at line 139 to choose 6 of the following individuals to be interviewed Agarwal Anderson Baxter Bonds Bowman Castillo Cross Dewald Fernandez Fleming Gates Goel Gomez Hernandez Huang Kim Liao Mourning Naber Peters Pliego Puri Richard Rogers Santiago Shen Vega Wang 4. Section 6.2, Problem 4 Researches investigated the effect of listening to music by Mozart before taking an IQ test. Subjects were randomly assigned to one of three groups and would either listen to Mozart music, be told to relax, or be given no instructions. The sample mean IQ in the Mozart group was 119, in the relax group was 111, and in the silent group was 110. a. Is this an experiment or an observational study? b. If it is an experiment, is it randomized or block design? c. If it is an experiment, identify the explanatory and response variables. d. If this is an experiment, draw a diagram representing the levels and treatments. 5. Section 6.3, Problem 5 Joey is interested in investigating streaks when flipping coins. He wants to use simulation methods to determine the longest run of heads, on average, for 20 consecutive coin flips. 1. Describe a correspondence between random digits from a random digit table and outcomes. 2. What will constitute one repetition in this simulation? 3. Starting with line 101 in the random digit table, carry out 10 repetitions and record the longest run of heads for each repetition. 6. Section 6.3, Problem 7 Assume that the percentage of women in the labor force of a large metropolitan area is 40%. A company hires ten workers, two of whom are women. We want to see if this is likely. 1. Assign the digits, 0 through 9, to represent the men and women in this situation. Describe how you will run the simulation using those digits and the random digit table. 2. Start on line 136 of the random digit table and carry out the simulation with 3 runs. 3. What is the expected number of women that should be hired, based on your simulation? 4. Repeat the 3 runs using line 135 of the random digit table. Is the expected number the same? Why or why not