Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean =292days and standard deviation

=17days.

(a) What is the probability that a randomly selected pregnancy lasts less than 286 days?

The probability that a randomly selected pregnancy lasts less than 286 days is approximately 0.3632. (Round to four decimal places asneeded.)

Interpret this probability. Fill in the answer box within your choice.

If 100 pregnant individuals were selected independently from thispopulation, we would expect 36 pregnancies to last less than 286 days.

Your answer is correct.

(b) Suppose a random sample of 19 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies.

The sampling distribution of x overbar x is shewed left, skewed right, or normal with mu Subscript x overbar =292 and sigma Subscript x overbar = ______.

(Round to four decimal places asneeded.)