Question #336396

Suppose the amount of a popular sport drink in bottles leaving the filling machine has a normal distribution with mean 101.5 milliliters (mL) and standard deviation 1.6. If 36 bottles are randomly selected, find the probability that the mean content is less than 102.1 mL 


1
Expert's answer
2022-05-06T06:01:29-0400
P(X<102.1)=P(Z<102.1101.51.6/36)P(X<102.1)=P(Z<\dfrac{102.1-101.5}{1.6/\sqrt{36}})

=P(Z<2.25)0.9878=P(Z<2.25)\approx0.9878


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