If we randomly selected 5 meals what is the probability that

If we randomly selected 5 meals, what is the probability that the mean amount of time needed to prepare these 5 meals will be less than 10 minutes?

mean is 10.13

std diviation is .6462

sample size is 100

Solution

The probability is

P(xbar<10) = P((xbar-mean)/(s/vn) <(10-10.13)/(0.6462/sqrt(100)))

=P(Z<-2.01)

=0.0222 (from standard normal table)