Download Central Limit Theorem Questions/Solution from p30 notes

Central Limit Theorem Questions/Solution from p30 notes
Ex 2:
CLT
Find the probability that the mean score is above 140 given   143,   29, n  100
 x    143

29
x 

 2.9
n
100
normalcdf (140, l arg e# ,143, 2.9)
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Ex 3:
Math professors have IQ’s that are normally distributed with a mean of 125 and a standard deviation of 1.2.
a.
If one math professor is selected at random, find the probability his IQ is greater than 127. (NOT CLT)
b.
Find the probability that 75 math professors selected at random have IQ’s that have a mean greater than
127. (CLT)
normalcdf (127, l arg e# ,125, 1.2)
a)
b)
 x    125

1.2
x 

 .139
n
normalcdf (127, l arg e# ,125, .139)
75
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