distribution in the groups (e.g., approximately normal?) and whether there appear to be group differences. b. Conduct the appropriate test to determine whether you can conclude that the four groups, on average, have different radiographic measurements. Assume that the measurement data are approximately normally-distributed with equal variance across the groups. Let a=0.05. c. Given the results for question b, is post-hoc testing appropriate? If so, run the post-hoc test and interpret the results of the test. 2. A study was conducted to compare the effect of skin temperature on critical threshold temperature eliciting heat pain with the effect of skin temperature on the response latency to the first heat pain sensation. Subjects were healthy adults between the ages of 23 and 54 years. There were 18 subjects in the study, with six assigned to one of three skin temperature groups. The table below provides the latencies (in seconds) to the first pain response by radiant heat stimulation recorded for the subjects in the three heat groups. Use these data to answer the questions below the table. Subject 25 degrees C 30 degrees C 35 degrees C 1 6.4 4.5 3.6 2 8.1 5.7 6.3 3 9.4 6.8 3.2 4 6.75 4.6 3.9 10 6.2 6.2 4.5 4.2 3.4 a. Create one box and whisker plot that compares the distribution of latencies across the 3 groups. Comment on whether there appear to be group differences. b. Conduct the appropriate test to determine whether you can conclude that the three skin temperature groups, on average, have different latency measurements. Assume that the measurement data are approximately normally- distributed with equal variance across the groups. Let a=0.05. c. Given the results for question b, is post-hoc testing appropriate? If so, run the post-hoc test and interpret the results of the test