CHAPTER 4 Cumulative Review Exercises 199 1. Cloud Seeding The “Florida Area Cumulus Experiment” was conducted by using silver iodide to seed clouds with the objective of increasing rainfall. For the purposes of this exercise, let the daily amounts of rainfall be represented by units of rnfl. (The actual rainfall amounts are in cubic meters * 10,000,000 or m3 * 107.) Find the value of the following statistics and include appropriate units based on rnfl as the unit of measurement. 15.53 7.27 7.45 10.39 4.70 4.50 3.44 5.70 8.24 7.30 4.05 4.46 a. mean b. median c. midrange d. range e. standard deviation f. variance 2.Cloud Seeding Use the same data given in Exercise 1. a. Identify the 5-number summary. As in Exercise 1, use rnfl to represent the units of measurement. b. Construct a boxplot. c. Identify any values that appear to be outliers. 3.Organ DonorsUSA Today provided information about a survey (conducted for Donate Life America) of 5100 adult Internet users. Of the respondents, 2346 said they are willing to donate organs after death. In this survey, 100 adults were surveyed in each state and the District of Columbia, and results were weighted to account for the different state population sizes. a. What percentage of respondents said that they are willing to donate organs after death? b. Based on the poll results, what is the probability of randomly selecting an adult who is willing to donate organs after death? c. What term is used to describe the sampling method of randomly selecting 100 adults from each state and the District of Columbia? 4. Sampling Eye Color Based on a study by Dr. P. Sorita Soni at Indiana University, assume that eye colors in the United States are distributed as follows: 40% brown, 35% blue, 12% green, 7% gray, 6% hazel. a. A statistics instructor collects eye color data from her students. What is the name for this type of sample? b. Identify one factor that might make the sample from part (a) biased and not representative of the general population of people in the United States. c. If one person is randomly selected, what is the probability that this person will have brown or blue eyes? d. If two people are randomly selected, what is the probability that at least one of them has brown eyes? 5. Heights of Presidents Theories have been developed about the heights of winning candidates for the U.S. presidency and the heights of candidates who were runners up. Listed below are heights (cm) from recent presidential elections. Construct a graph suitable for exploring an association between heights of presidents and the heights of the presidential candidates who were runners-up. What does the graph suggest about that association? Winner 182 177 185 188 188 183 188 191 Runner-Up 180 183 177 173 188 185 175 169 Cumulative Review Exercises
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