you go out and research various psychology-survey resources and learn about the

Question

you go out and research various psychology-survey resources and learn about the Emotional-Reactivity-Quotient- Questionnaire: a survey of 15 questions, the answers of which can be used to create a Emotional-Reactivity-Quotient or ERQ. The ERQ is a score between –inf and +inf where positive scores indicate a person is more reactive than average and negative scores indicate that a person in less reactive than average. In reading about the questionnaire you learn that it was designed to yield scores that will be normally- distributed across the American population with a mean = 0 and a standard deviation =18: N(0,18)..... Your other friend has an ERQ = -37. You want to know what % of the population is less emotional than your friend.

1) Compute your friend’s z-score (5-pts) Calculate P(X < -37) (3-pts)

Explanation / Answer

Ans:

Given that

mean=0

standard deviation=18

z=(x-mean)/standard deviation

z=(x-0)/18

when x=-37

z=(-37-0)/18

z=-37/18=-2.056

P(z<-2.06)=0.0199

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