Answer to Question #267309 in Statistics and Probability for Shaira

Question

If 50 randomly selected college students take the examination, what is the probability that the mean time it takes the group to complete the test will be less than 43 minutes?

Answer 1

$P(\bar X<43)=P(Z<\frac{43-46.2}{\frac{8}{\sqrt{50}}})=P(Z<-2.83)=0.0023.$