solving the worlds problem

14. Red Blood Cell Counts Based on Data Set 1 "Body Data" in Appendix B, males have red blood cell counts with a mean of 4.719 and a standard deviation of 0.490, while females have red blood cell counts with a mean of 4.349 and a standard deviation of 0.402. Who has the higher count relative to the sample from which it came: a male with a count of 5.58 or a female with a count of 5.23? Explain. Percentiles. In Exercises 17-20, use the following duration times (seconds) of 24 eruptions of the Old Faithful geyser in Yellowstone National Park. The duration times are sorted from lowest to highest. Find the percentile corresponding to the given time. 110 120 178 213 234 234 235 237 240 243 245 245 250 250 251 252 254 255 255 259 260 266 269 273 18. 240 sec 20. 260 sec 22. Q 24. P40 28. P85 PAGE 35Boxplots. In Exercises 29-32, use the given data to construct a boxplot and identify the 5-number summary. 30. Old Faithful The following are the interval times (minutes) between eruptions of the Old Faithful geyser in Yellowstone National Park (based on data from the U.S. National Park Service). 81 81 86 87 89 92 93 94 95 96 97 98 98 101 101 106 32. Speeds The following are speeds (mi/h) of cars measured with a radar gun on the New Jersey Turnpike (based on data from Statlib and authors Joseph Kadane and John Lamberth). 70 70 71 72 72 73 73 74 76 77 78 78 78 79 79 PAGE 36In Exercises 21-24, find the mean and median for each of the two samples; then compare the two sets of results. 22. Parking Meter Theft Listed below are amounts (in millions of dollars) collected from parking meters by Brinks and others in New York City during similar time periods. A larger data set was used to convict five Brinks employees of grand larceny. The data were provided by the attorney for New York City, and they are listed on the DASI web site. Do the limited data listed here show evidence of stealing by Brinks employees? Collection contractor was Brinks: 1.3 1.5 1.3 1.5 1.4 1.7 1.8 1.7 1.7 1.6 Collection contractor was not Brinks: 2.2 1.9 1.5 1.6 1.5 1.7 1.9 1.6 1.6 1.8 In Exercises 29-32, find the mean of the data summarized in the given frequency distri- bution. Also, compare the computed means to the actual means obtained by using the original list of data values, which are as follows: (Exercise 29) 35.9 years; (Exercise 30) 44.1 years; (Exercise 31) 84.4; (Exercise 32) 15.0 years. 32. Years President Lived After First Inauguration Frequency 30. Age of Best Actor 0-4 8 When Oscar Was Won Frequency 5-9 2 20-29 10-14 5 30-39 26 15-19 7 40-49 35 20-24 4 50-59 13 25-29 6 60-69 6 30-34 0 70-79 1 35-39 PAGE 2715. Years to Earn Bachelor's Degree Listed below are the lengths of time (in years) it took for a random sample of college students to earn bachelor's degrees (based on data from the National Center for Education Statistics). Based on these results, is it unusual for someone to earn a bachelor's degree in 12 years? 44444445454545454566899131315 42. The Empirical Rule Based on Data Set 3 in Appendix B, body temperatures of healthy,' adults have a bell-shaped distribution with a mean of 98.20F and a standard deviation of 0.62F. Using the empirical rule, what is the approximate percentage of healthy adults with body temperatures a. within 1 standard deviation of the mean, or between 97.58\"F and 98.82F? 1:. between 96.34\"}: and 100.06F? Section 3.3 2. .1 Scores If your score on your next statistics test is convened to a z score. which of these 2 scores would you prefer: 2.DO, l.00, 0, 1.00. 2.0!]? Why? 4. Measures 0! Location The values of P50, Q2, and the median are found for the net in- comes reported on all individual 1040 tax forms led last year. What do those values have in common? PAGE 33 8. Plastic Waste Data Set 31 "Garbage Weight" in Appendix B lists weights (Ib) of plastic discarded by households. The highest weight is 5.28 lb, the mean of all of the weights is x = 1.911 1b, and the standard deviation of the weights is s = 1.065 lb. a. What is the difference between the weight of 5.28 lb and the mean of the weights? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the weight of 5.28 lb to a z score. d. If we consider weights that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the weight of 5.28 lb significant? 10. MCAT In a recent year, scores on the Medical College Admission Test (MCAT) had a mean of 25.2 and a standard deviation of 6.4. Identify the MCAT scores that are significantly low or significantly high. 12. Designing Aircraft Seats In the process of designing aircraft seats, it was found that men have hip breadths with a mean of 36.6 cm and a standard deviation of 2.5 cm (based on anthro- pometric survey data from Gordon, Clauser, et al.). Identify the hip breadths of men that are significantly low or significantly high. PAGE 34Lab Assignment Name: Section 3.2 and 3.3 Due Date: Math 34 This Lab is to be worked in the Math Lab when an instructor is present. You may work with your classmates, but be sure to complete your own assignment to turn in. To receive credit for this assignment you must log in at least 2 hours each week. 4. Symbols Identify the symbols used for each of the following: (a) sample standard deviation; (b) population standard deviation; (c) sample variance; (d) population variance. In Eaten-ire: 5-20, nd the range, variance, and standard deviation n- obe given maple dam. Include appropriate units (such as \"minutes? in your results. (He some data were used in Section 32 where wemnd measures of center. Hm wend measures of varia- tion.) "Jen owner the given questions. 6. Top 10 Most Expensive Colleges Listed below are the annual tuition amounts of the 10 most expensive colleges in the United States for a recent year. The colleges listed in order are Sarah Lawrence, NYU, George Washington, Bates, Skidrnore. johns Hopkins, Georgetown, Connecticut College. Harvey Mudd, and Vassar. Can this \"Top [0\" list tell us anything about the standard deviation of the population of all US. college tuitions? $54,410 $51,991 $51,730 $51,300 $51,196 $51,190 $51,122 $51,115 $51,037 $50,875 9. Harry Potter Listed below are the gross amounts (in millions of dollars) earned in box office receipts for the movie Harry Potter and the HalfBlood Prince. The movie opened on a Wednesday, and the amounts are listed in order for the first 14 days of the movie's release. If you invested in this movie, what characteristic of the data set would you care about most, and is it a measure of center or variation? 5822272921101087911944 PAGE 32