Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean μ = 283 days and standard deviation σ = 23 days. Complete parts (a) through (f) below:
(a) If a random sample of size n = 9 is taken from this population, we would expect the sample mean to be exactly 276 days.
(b) If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect 10 samples to have a sample mean of 276 days or less.
(c) If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect some samples to have a sample mean of 276 days or more.
(d) What is the probability that a random sample of 71 pregnancies has a mean gestation period of 276 days or less?
The probability that the mean of a random sample of 71 pregnancies is less than 276 days is approximately (Round to four decimal places as needed.)