Elementary Statistics

C EXERCISES A30 APPENDIX C Normal Probability Plots For Extra Help: MyLab Statistics 1. In a normal probability plot, what is usually plotted along the horizontal axis? What is usually plotted along the vertical axis? 2. Describe how you can use a normal probability plot to determine whether data come from a normal distribution. Graphical Analysis In Exercises 3 and 4, use the histogram and normal probability plot to determine whether the data come from a normal distribution. Explain your reasoning. 3. Frequency 5 10 15 20 25 72 178 231 Height (in feet) 125 284 337 390 Roller Coaster Heights Expected z-score −3 −2 −1 0 200 300 400 500 Observed value 1 2 3 Roller Coaster Heights 4. Relative frequency 0.05 0.10 0.15 0.20 0.25 Length (in centimeters) 34.5 35.5 36.5 37.5 38.5 39.5 40.5 41.5 42.5 Adult Femur Lengths Expected z-score −3 −2 −1 0 35 Observed value 1 2 3 Adult Femur Lengths 40 45 Constructing a Normal Probability Plot In Exercises 5 and 6, use technology to construct a normal probability plot to determine whether the data come from a population that has a normal distribution. 5. Reaction Times The reaction times (in milliseconds) of 30 randomly selected adults to an auditory stimulus 507 389 305 291 336 310 514 442 373 428 387 454 323 441 388 426 411 382 320 450 309 416 359 388 307 337 469 351 422 413 6. Triglyceride Levels The triglyceride levels (in milligrams per deciliter of blood) of 26 randomly selected patients 209 140 155 170 265 138 180 295 250 320 270 225 215 390 420 462 150 200 400 295 240 200 190 145 160 175

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