Question

Suppose the people living in a city have a mean score of

44

and a standard deviation of

9

on a measure of concern about the environment. Assume that these concern scores are normally distributed. Using the

​50%minus−​34%minus−​14%

​figures, what is the minimum score a person has to have to be in the top​ (a) 2%,​ (b) 16%,​ (c) 50%,​ (d) 84%, and​ (e) 98%?

Answer 1

Set 44 44 ivst drow Ihe normal uve 35 mean= 44 2-U 2 6 62 Slan dard deviotone 9 30 Top 16 Top se' Eperical Rule Tof Ib To ld Aka Under (Kt The velun are Curvc= 1oo 34 TAdev number ot fmThe mean 27 Top 27 14 A4 Nio M+20 Ht 30 M-30 H-20 20 35 62 71 44 -1 -2 Using Fe empiral rule, sigma limit ( ) 35,5 26,62 are (pt 2+2) 2 Sigma limi (Ht 330) Umi b Nigma a mimimum ALore a pe raon han have t be op ot 2). UAing empiral probabiulg in 2

Mimum score a person hasheve to be p ot 16. U&ing empiri cal probatiuy SS3 (UAing tgure) Minimum a perhon han have to be top ot so . core JAing empisical probabib = QaCUing tigure) have to be op of Minimum Core a person han 35 CUAing gu) Using empirical probabib a pernon han have to be top ot 98 7. S Minimum Scove (Uxing tgue) UPng empiral probabib 26