Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u= 260 days and standard deviation o = 22 days. Complete parts (a) through (f) below. (b)...

Extracted text: Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u= 260 days and standard deviation o = 22 days. Complete parts (a) through (f) below. (b) Suppose a random sample of 21 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is normal with H; = 260 and o: = 4.8008. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 21 pregnancies has a mean gestation period of 253 days or less? The probability that the mean of a random sample of 21 pregnancies is less than 253 days is approximately 0.0724. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) O A. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 253 days or more. O B. If 100 independent random samples of size n= 21 pregnancies were obtained from this population, we would expect 7 sample(s) to have a sample mean of 253 days or less. O C. If 100 independent random samples of size n=21 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 253 days. (d) What is the probability that a random sample of 64 pregnancies has a mean gestation period of 253 days or less? The probability that the mean of a random sample of 64 pregnancies is less than 253 days is approximately 0.0055. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) O A. If 100 independent random samples of sizen= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 253 days or less. O B. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 253 days. O C. If 100 independent random samples of size n= 64 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 253 days or more.