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- p-311 no-1
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i did this problem but i think i did some thing wrong. can you point out the mistake and how to draw it?
no-1 page-311
μ=128
σ=16
a. when n=9 then sd(xi)=16*√9=48, E[x]=9*128=1152
b when n=25 then sd(xi)=16*√25=80, E[x]=25*128=3200
c. when n=100 then sd(xi)=16*√100=160 E[x]=100*128=12800
a.124< X >132
124-1152
-10028/48< (X-1152)/48>-1020/48
-21.42
=normdist(-21.25)-=normdist(-21.42)
b..124
124-3200
-3068/80<(X-3200)/80>-3068/80
-38.45
=normdist(-38.35)-=normdist(-38.45)
c.
124
124-12800
-12676/160<(X-128)/160>-12668/160
-79.23
=normdist(-79.18)-=normdist(-79.23)
Main problem is that you are using the wrong formula. For the std dev of the sample mean, you need to divide by the sqrt(n) and not multiply.
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