25 May WHAT ARE THE SIMILARITIES AND DIFFERENCES BETWEEN THE THREE DISTRIBUTIONS IN TERMS OF THEIR MEANS, RANGES, AND STANDARD DEVIATIONS?
The SD is/is not sensitive to extreme scores.
5.7. The variance of the population is represented by S2/s2.
5.8. In most cases, the variance is larger/smaller than the SD.
5.9.The measure of variability that takes into consideration every score in the distribution is therange/standard deviation.
Answer/compute the following questions:
5.10. Study the following three distributions. What are the similarities and differences between the three distributions in terms of their means, ranges, and standard deviations? (Note: Assume the three distributions to be samples if you decide to compute their standard deviations.)
Distribution A: 8, 9, 6, 12, 5
Distribution B: 7, 10, 11, 8, 4
Distribution C: 7, 9, 8, 9, 7
5.11. Three statistics classes (Sections A, B and C), each with 26 students, took the same test. The SD of Section A was 7; the SD of Section B was 16; and the SD of Section C was 10. Which class was more homogeneous in regard to the scores on the test?
5.12. Means and standard deviations were calculated for an Overall Quality Assurance Test with 45 items. This test consists of 20 Input Factors and 25 Output Factors. Estimate which of the following standard deviations was obtained for the total Quality Assurance Test and which standard deviation was obtained for the Input factors.
a. SD = 5.7 b. SD = 8.3
5.13. Shortly after being hired, eight sales trainees participated in a role playing exercise where they were rated on a scale of 1-10 on their ability to close a sale. After one week of training, the same eight sales trainees participated in the same role playing exercise and their closing skills were evaluated using the same scale of 1-10.
Review the following scores. Is there a difference between the pre-training and post-training rating scores? What effect, if any, did the training have on the trainees? Explain.
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