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Unlv..ic Franciscan Sign in-wnc Apple Yahoo! YouTube Wikipedia News Popular Google Maps com/d2 The Chapin Social Insight Test evaluates how accurately the subject appraises other people. In the reference population used to develop the test, Chapin Social Insight Test scores are distributed notmal with mean -25 and standard deviation -5. a. What proportion of the population has scores below 20 on the Chapin test? b. What proportion has scores below 10? c. How high a score must you have in order to be in the top quarter of the population in social insight? 5. (For the advanced reader) This exercise is purposely more thoughtful and asks you to think a bit about the meaning of the ideas in unit 5. There is not an explicit example that you can mimic. Tip-Give it a try for a few minutes. Then, if you have no idea how to proceed please consult the solutions. A normal distribution has mean -100 and standard deviation 15 (for example, 10). Give limits, symmetric about the mean, within which 95% of the population would lie: a. Individual observations. b. Means of 4 observations. c. Means of 16 observations d. Means of 100

Explanation / Answer

=25

=5

a)

x=20

z=(x-)/

=(20-25)/5

=-5/5

=-1

P(x<20) =P(z<-1)

               =0.1587

b)

x=10

z=(x-)/

=(10-25)/5

=-15/5

=-3

P(x<10) =P(z<-3)

               =0.0013

c)

top quarter means top 25%

so it means 100-25% =75% from below

For P=75% =0.75 , z score is 0.67

x=z* +

=0.67*5 +25

=3.35 +25

=28.35

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