CHAPTER 14 Technology Project 721 5. Carbon Dioxide and Temperature The table below lists the annual amount of carbon dioxide (parts per million) and the mean annual temperature 1°C2 of Earth for several different years. Is there a correlation? Can we conclude that human activity that increases carbon dioxide emissions is the cause of the rise in temperatures? CO2 390 392 394 397 399 401 404 407 273 415 Temp. 14.52 14.4 14.6 14.81 14.59 14.96 14.83 15.61 15.49 14.97 6. Carbon Dioxide and Temperature Use the sample data from the preceding exercise to find the equation of the regression line. What is the best predicted temperature for a year with a CO2 level of 420? Is that predicted value likely to be accurate? 7. Heights On the basis of Data Set 1 “Body Data” in Appendix B, assume that heights of men are normally distributed, with a mean of 68.6 in. and a standard deviation of 2.8 in. a. The U.S. Coast Guard requires that men must have a height between 60 in. and 80 in. Find the percentage of men who satisfy that height requirement. b. Find the probability that 4 randomly selected men have heights with a mean greater than 70 in. 8. Defective Child Restraint Systems The Tracolyte Manufacturing Company produces plastic frames used for child booster seats in cars. During each week of production, 120 frames are selected and tested for conformance to all regulations by the Department of Transportation. Frames are considered defective if they do not meet all requirements. Listed below are the numbers of defective frames among the 120 that are tested each week. Use a control chart for p to verify that the process is within statistical control. If it is not in control, explain why it is not. 3246597101215 9. Child Restraint Systems Use the numbers of defective child restraint systems given in Exercise 8. Find the mean, median, and standard deviation. What important characteristic of the sample data is missed if we explore the data using those statistics? 10. Eyewitness Accuracy of Police Does stress affect the recall ability of police eyewitnesses? This issue was studied in an experiment that tested police eyewitness memory a week after a non-stressful interrogation of a cooperative suspect and a stressful interrogation of an uncooperative and belligerent suspect. The numbers of details recalled a week after the incident were recorded, and the summary statistics are given below (based on data from “Eyewitness Memory of Police Trainees for Realistic Role Plays,” by Yuille et al., Journal of Applied Psychology, Vol. 79, No. 6). Use a 0.01 significance level to test the claim in the article that “stress decreases the amount recalled.” Nonstress: n = 40, x = 53.3, s = 11.6 Stress: n = 40, x = 45.3, s = 13.2 Technology Project Carbon Dioxide Listed below are annual mean amounts of carbon dioxide (parts per million) measured at the Mauna Loa Observatory in Hawaii. The amounts are listed in order starting with 1960. Construct and print a run chart. Then use subgroups consisting of the decades and construct and print an R chart and an x chart. What do you conclude? 1960s: 317 318 318 319 320 320 321 322 323 325 1970s: 326 326 327 330 330 331 332 334 335 337 1980s: 339 340 341 343 345 346 347 349 352 353 1990s: 354 356 356 357 359 361 363 364 367 368 2000s: 370 371 373 376 378 380 382 384 386 387 2010s: 390 392 394 397 399 401 404 407 273 415
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