what is the probability that a random sample of 37 pregnanci

what is the probability that a random sample of 37 pregnancies has a mean gestation period of 193 days or less? the probability that the mean of a random sample of 37 pregnancies is less than 193 days is approximately? round to four decimal places as needed

Solution

Standard error =sd/sqrt(n) =10/sqrt(37) =1.644

z value for 193=(193-197)/1.644 = -2.43

P( MEAN x<193) =p(Z < -2.43)= 0.0075