Complete Question 5 set #3-4 Complete Question 5 set #3-4 in behavioral medicine

Question

Complete Question 5 set #3-4 Complete Question 5 set #3-4 in behavioral medicine are interested in psychological methods of con trolling pain. To induce pain safely in their subjects, they may use the cold pressr task. One form of this task involves having a person immerse a hand in cold water an then timing how long the person can tolerate the pain induced. Suppose that an exper imenter had each of 17 people place a hand in a tub of water and then timed how long the person could hold his or her hand in the water before the pain became too intense to endure. The experimenter replicated the study four times and obtained the follow ing four sets of scores (the scores represent time in seconds): Set 1: 35, 39, 38, 30, 37, 43, 30, 38, 41, 52,25,44, 33, 41, 38, 56, and 37. Set 2: 20, 28, 26, 29, 60, 21, 37, 30, 28, 57, 29, 25, 63, 26, 32, 30, and 28. Set 3: 45, 23, 57, 50, 47, 52, 20, 53, 50, 30, 52, 60, 52, 49, 52, 49, and 53 Set 4: 52, 23, 40, 60, 52, 21, 20, 52, 50, 23, 55, 26, 28, 53, 26, 49, and 26 For each set of scores: a. Construct a simple frequency distribution. Use this frequency distribution to male a judgment about the shape of the distribution of the scores. b. Calculate the mode, median, and mean. c. Compare the measures of central tendency. Is the distribution skewed? Explain how you reached a decision. Does your answer from this comparison agree wih your judgment from the frequency distribution constructed for question a? d. Do you think one of the measures of central tendency describes the scores betr than the others? If so, which measure and why?

Explanation / Answer

(a) For Set 3, the frequency distribution is given below.

For Set 4, the frequency distribution is given below.

The shape of the distribution of the scores in both the sets (3 and 4) seems to be left or negatively skewed.

(b) For Set 3, mean = 46.71, median = 50, mode = 52.
For Set 4, mean = 38.59, median = 40, mode = 52.

(c) Observing the measures of central tendency for both sets 3 and 4, it can be stated that the distributions are negatively skewed. This is due to the fact that for a negatively skewed distribution, mean < median < mode. Hence, the conclusion here matches with that of the judgement from the frequency distributions in part (a).

(d) Mode is describing the scores better than the others. This is because we are dealing with a discrete data and we are interested here in knowing the score which is occuring the most number of times.

Scores Frequency 20 1 23 1 30 1 45 1 47 1 49 2 50 2 52 4 53 2 57 1 60 1

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.