# Relative Frequency Distribution

Grossmont College Name: MA160 Homework (section 2.1) Class section no.: Each HW packet is worth 5 points. You will be graded upon your percentage of completion (not accuracy), but you have to show clear work (whenever applicable) to get full credit. The answers for odd numbered questions are in the textbook. 1. McDonald’s Dinner Service Times Refer to the accompanying table summarizing service times (seconds) of McDonald’s dinners. How many individuals are included in the summary? Is it possible to identify the exact values of all of the original service times? Table for Exercise 1 Sunil olan weno tudta limo McDonald’s Dinner Service Times bainis Time (sec) Frequency w dobro 60-119 7 interdam 120-179 22 180-239 14 10 mon mot polos decorate 240-299 2 300-359 5 3. Relative Frequency Distribution Use percentages to construct the relative frequency dis- tribution corresponding to the accompanying frequency distribution for McDonald’s dinner service times.robsoni 29 boat blown into it goib bonor swad bokil uirli bio olan shown twofold con il cowoc din niyor buneblo del suo LOL 033 2.2DOS OS PEDERS OCCEISS 2011 SOLSONA 20 ES SHE IS 212 212 In Exercises 5–8, identify the class width, class midpoints, and class boundaries for the given frequency distribution. Also identify the number of individuals included in the sum- mary. The frequency distributions are based on real data from Appendix B. 5. Age (yr) of Best Actress When Oscar Was Won Frequency 29 20-29 30-39 34 40-49 14 50-59 3 60-69 5 70-79 1 1 80-89 1 Created by Universal Document Converter no 0_99 7. gollo) nom2017 Blood Platelet Count of Males Frequency si (Srb) sowemo COCAM 0-99 qu sosyed two coatthow 215/35 W 100-199 51 caldags ovenorw) Show 15lo worla otevs Uvjud you 200-299 90 oodtxotannis anos Dsiedmun bbo no 219wand 300-399 10 1400-4990 comit avea tonni e bianco . CE 500-599 bolum Helblondine 600-699 1 non tolles in dobil 051 Normal Distributions. In Exercises 9 and 10, using a loose interpretation of the criteria for determining whether a frequency distribution is approximately a normal distribution, determine whether the given frequency distribution is approximately a normal distribution. Give a brief explanation. 9. Best Actresses Refer to the frequency distribution from Exercise 5. Dadeldavitsa Constructing Frequency Distributions. In Exercises 11-18, use the indicated data to construct the frequency distribution. (The data for Exercises 13–16 can be downloaded at Triola Stats.com.) 11. Old Faithful Listed below are sorted duration times (seconds) of eruptions of the Old Faithful geyser in Yellowstone National Park. Use these times to construct a frequency distribu- tion. Use a class width of 25 seconds and begin with a lower class limit of 125 seconds. 125 203 205 221 225 229 233 233 235 236 236 237 238 238 239 240 240 240 240 241 241 242 242 242 243 243 244 245 245 245 245 246 246 248 248 248 249 249 250 251 252 253 253 255 255 256 257 258 262 264 th sh is low 2 Created by Universal Document Converter .U. 13. Burger King Lunch Service Times Refer to Data Set 25 – Fast Food” and use the drive- through service times for Burger King lunches. Begin with a lower class limit of 70 seconds and use a class width of 40 seconds. roda ch.15. Wendy’s Lunch Service Times Refer to Data Set 25 Fast Food” and use the drive- through service times for Wendy’s lunches. Begin with a lower class limit of 70 seconds and use a class width of 80 seconds. Does the distribution appear to be a normal distribution? stelao Ion 3 Created by Universal Document Converter 17. Analysis of Last Digits Heights of statistics students were obtained by the author as part of an experiment conducted for class. The last digits of those heights are listed below. Con- struct a frequency distribution with 10 classes. Based on the distribution, do the heights appear to be reported or actually measured? What do you know about the accuracy of the results? 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 4 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 8 8 8 9 Cumulative Frequency Distributions. In Exercises 21 and 22, construct the cumulative frequency distribution that corresponds to the frequency distribution in the exercise indicated. 21. Exercise 5 (Age of Best Actress When Oscar Was Won) Tanul answer Categorical Data. In Exercises 23 and 24, use the given categorical data to construct the relative frequency distribution. 23. Clinical Trial When XELJANZ (tofacitinib) was administered as part of a clinical trial for this rheumatoid arthritis treatment, 1336 subjects were given 5 mg doses of the drug, and here are the numbers of adverse reactions: 57 had headaches, 21 had hypertension, 60 had upper respiratory tract infections, 51 had nasopharyngitis, and 53 had diarrhea. Does any one of these adverse reactions appear to be much more common than the others? (Hint: Find the relative frequencies using only the adverse reactions, not the total number of treated subjects.) 4 Created by Universal Document Converter Large Data Sets. Exercises 25-28 involve large sets of data, so technology should be used. Complete lists of the data are not included in Appendix B, but they can be downloaded from the website TriolaStats.com. Use the indicated data and construct the frequency distribution. -1.25. Systolic Blood Pressure Use the systolic blood pressures of the 300 subjects included in Data Set 1 “Body Data.” Use a class width of 20 mm Hg and begin with a lower class limit of 80 mm Hg. Does the frequency distribution appear to be a normal distribution? …27. Earthquake Magnitudes Use the magnitudes of the 600 earthquakes included in Data Set 21 “Earthquakes.” Use a class width of 0.5 and begin with a lower class limit of 1.00. Does the frequency distribution appear to be a normal distribution? 5 Created by Universal Document Converter 23. Source of the Data Considering the source of the data, does that source appear to be biased in some way? What’s Wrong? In Exercises 25–28, identify what is wrong. . 25. Potatoes In a poll sponsored by the Idaho Potato Commission, 1000 adults were asked to select their favorite vegetables, and the favorite choice was potatoes, which were selected by 26% of the respondents. 1 27. Motorcycles and Sour Cream In recent years, there has been a strong correlation be- tween per capita consumption of sour cream and the numbers of motorcycle riders killed in noncollision accidents. Therefore, consumption of sour cream causes motorcycle fatalities. 29. Workplace Attire In a survey conducted by Opinion Research Corporation, 1000 adults were asked to identify “what is inappropriate in the workplace.” of the 1000 subjects, 70% said that miniskirts were not appropriate in the workplace. a. What is 70% of 1000? b. Among the 1000 respondents, 550 said that shorts are unacceptable in the workplace. What percentage of respondents said that shorts are unacceptable in the workplace? 4 Created by Universal Document Converter 19. Literary Digest Poll In 1936, Literary Digest magazine mailed questionnaires to 10 million people and obtained 2,266,566 responses. The responses indicated that Alf Landon would win the presidential election. He didn’t. Critical Thinking: What’s Wrong? In Exercises 21-28, determine whether the study is an experiment or an observational study, and then identify a major problem with the study. 21. Online News In a survey conducted by USA Today, 1465 Internet users chose to respond to this question posted on the USA Today electronic edition: “Is news online as satisfying as print and TV news?” 52% of the respondents said “yes. 23. Drinking and Driving A researcher for a consortium of insurance companies plans to test for the effects of drinking on driving ability by randomly selecting 1000 drivers and then randomly assigning them to two groups: One group of 500 will drive in New York City after no alcohol consumption, and the second group will drive in New York City after consuming three shots of Jim Beam bourbon whiskey. 25. Driver Aggression In testing a treatment designed to reduce driver aggression in the United States, the original plan was to use a sample of 500 drivers randomly selected throughout the country. The program managers know that they would get a biased sample if they limit their study to drivers in New York City, so they planned to compensate for that bias by using a larger sample of 3000 drivers in New York City. 27. Crime Research A sociologist has created a brief survey to be given to 2000 adults ran- domly selected from the U.S. population. Here are her first two questions: (1) Have you ever been the victim of a felony crime? (2) Have you ever been convicted of a felony? 3 Created by Universal Document Converter 31. Marriage Proposals In a survey conducted by The Knot.com, 1165 engaged or married women were asked about the importance of a bended knee when making a marriage proposal. Among the 1165 respondents, 48% said that the bended knee was essential. a. What is the exact value that is 48% of 1165 survey respondents? b. Could the result from part (a) be the actual number of survey subjects who said that a bended knee is essential? Why or why not? c. What is the actual number of survey respondents saying that the bended knee is essential? d. Among the 1165 respondents, 93 said that a bended knee is corny and outdated. What per- centage of respondents said that a bended knee is corny and outdated? 33. Percentages in Advertising An ad for Big Skinny wallets included the statement that one of their wallets “reduces your filled wallet size by 50%-200%.” What is wrong with this statement? 35. Percentages in Advertising A New York Times editorial criticized a chart caption that described a dental rinse as one that “reduces plaque on teeth by over 300%.” What is wrong with this statement? 5 Created by Universal Document Converter
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