8 Given a normal distribution with and X56 is approximately

8. Given a normal distribution with and X-56 is (approximately)- 50 and 6, the area under the distribution between X-50 a. .18 b. .34 $ (Chapter 6) c. 48 d. .68 9. You analyzed a set of scores and found that R-10, s-2, and s-4 . Your colleague decided to transform the data by adding a 5 to all scores and then multiplying by 2. Instead of getting upset at your colleague and reanalyzing the data, it was easy to compute the new X,s, and s. What were the new X and s2? a. X 30, s 8 b.X-30, s2 = 16 $(Chapters 4 & 5) C. 7-20 , s2 = 8 d..P = 20, s2-16 e..P=15, s2=8 10. For a sample of scores on a personality assessment of Conscientiousness, the mean is 5. etion othese scores (a) Provide a formula and (b)

Solution

8.

By empirical rule, those within 1 standard deviation is 68% of the data (on both wings of the mean).

As 56 is 1 standard deviation away on the right of the mean only (50), then, those which lie between 50 and 56 is half of 68%, or 34%.   

[ANSWER, OPTION B, 0.34]

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