Exam2Fall23 Part 2

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Washington State University *

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412

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Statistics

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Jan 9, 2024

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STAT412 EXAM 2 Take Home Part 2 Instructions: This is the take-home part of the exam. You are permitted to use your notes, book, calculator, and statistical software in working this part of the exam. However, you are not permitted to consult with anyone on the exam. You are to turn in the finished product by Thursday, Nov. 16 11:59pm . For hypothesis test, clearly write out each of the four-steps. For analysis of variance, run the complete analysis (ANOVA table, multiple-comparison if necessary, and assumptions checking). 1. A study was conducted to study people’s attitude toward television programs that show violence. A random sample of 1200 adults was selected and classified according to gender and response to the following question: Do you think there is a link between violence on TV and crime? Yes No Not Sure Male 361 228 17 Female 433 141 20 Do the sample data provide sufficient evidence to conclude that gender and opinion are related in the population? Use  =.05. 2. To test the stimulus effect of caffeine, a double-blind experiment was conducted. Thirty male college students were randomly assigned to one of three groups of ten students each. Each group was given one of three doses of caffeine (0, 100, or 200mg) and 2 hours later the students were given a finger tapping exercise. The response is the number of taps per minute, as shown in the table below. 0 mg Caffeine 100 mg Caffeine 200 mg Caffeine 242 248 246 245 246 248 244 245 250 248 247 252 242 248 248 244 250 250 246 247 246 242 246 248 247 243 245 248 244 250 Conduct analysis of variance using α = .05.

3 . A question of interest to game managers is the hunting strategy of predators. Do they just take the first prey that comes along, or are they selective? In a study of winter prey selection in a National Park, radio-tagged wolves were observed to have killed prey according to the table below. Wolves were identified as the predators by their tracks in the snow. At the most recent census in the National Park there were about 3,500 white-tailed deer, 1,000 elk, and 500 moose. Prey Selection by Wolves White-tailed deer 138 Elk 23 Moose 5 Total 166 Do these data provide sufficient evidence at the α =.05 level that the wolves are not selecting their prey at random? That is, is there evidence that the proportion of deer, elk, and moose killed by wolves are not in the same proportion as in the park population? 4. One criticism of reading comprehension tests is that while they may measure reading comprehension, they also measure other factors not related to reading comprehension. A reading comprehension (RC) test on a major college entrance exam provides short English prose passages, and the examinees answer a set of multiple-choice items about the passage. To see if particular items measure something other than RC, investigators gave the RC test without the reading passages to a random sample of psychology students. The investigators reasoned that if questions were measuring knowledge or memory rather than just RC, students would answer questions at a higher rate than chance (20%, since there were 5 choices for each question.) Suppose that on one question, 30 out of 100 examinees answered the question correctly. Is this sufficient evidence that students are using more than just reading comprehension to answer this question? Test the relevant hypothesis using .05 a = .

5. The effect of Benzedrine on the heart rate of dogs (in beats per minute) was examined in an experiment on 14 dogs chosen for the study. Half of the dogs were assigned to receive Benzedrine during the first study period and the other half assigned to receive a placebo (saline solution). All dogs were examined to determine the heart rates after 2 hours on the medication. After 2 weeks in which no medication is given, the regimens for the dogs were switched for the second study period. The dogs previously on Benzedrine were given the placebo and the others received Benzedrine. Again the rates were measured after 2 hours. Do the data provide sufficient evidence to conclude that the population mean heart rate when the placebo is used is less than the population mean heart rate when Benzedrine is used. Using the relevant output below, conduct hypothesis test using  =.05. Dog Placebo Benzedrine 1 250 258 2 271 285 3 243 245 4 252 250 5 266 268 6 272 278 7 293 280 8 296 305 9 301 319 10 298 308 11 310 320 12 286 293 13 306 305 14 309 313

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