The mean per capita consumption of milk per year is 140 liters with a standard deviation of 22 liters. If a sample of 233 people is randomly selected, what is the probability that the sample mean would be less than 137.01 liters? Round your answer to four decimal places.
Sol
mean=140
std =22
n=233
sample sd=22/sqrt(233)=1.441268
here n>30 large sample ,hence follows normal distribution
X bar~N(140,1.441268)
e probability that the sample mean would be less than 137.01 liters
P(Xbar<137.01)
P(Z<137.01-140/1.441268)
P(z<-2.0746)
=0.019
ANSWER:
0.0190
The mean per capita consumption of milk per year is 140 liters with a standard deviation...
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