Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean u = 277 days and standard deviation o = 28 days. Complete parts (a) through (f) be Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2) 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 268 days. (d) What is the probability that a random sample of 60 pregnancies has a mean gestation period of 268 days or less? The probability that the mean of a random sample of 60 pregnancies is less than 268 days is approximately (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 = 60 pregnancies were obtained from this population, we would expect \\sample(s) to have a sample mean of exactly 268 days. O B. If 100 independent random samples of size n = 60 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 268 days or more. O C. If 100 independent random samples of size n = 60 pregnancies w e obtained from this population, we would expect |sample(s) to have a sample mean of 268 days or less. (e) What might you conclude if a random sample of 60 pregnancies resulted in a mean gestation period of 268 days or less? This result would be so the sample likely came from a population whose on period is 277 days (f) What is the probability a random sample of size 15 will have a mean gestation period within 12 days of the mean? The probability that a random sample of size 15 will have a mean gestation period within 12 days of the mean is |(Round to four decimal places as needed Type here to search O 83'F Rain coming ~ D D NSuppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean j =277 days and standard deviation o = 28 days. Complete parts (a) through (f) below Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2) (a) What is the probability that a randomly selected pregnancy lasts less than 268 days? The probability that a randomly selected pregnancy lasts less than 268 days is approximately (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.) A. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 268 days B. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 268 days O C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last less than 268 days (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 with My = ]and ox = (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 268 days or less? The probability that the mean of a random sample of 21 pregnancies is less than 268 days is approximately . (Round to four decimal places as needed rat this nenhahilits Galant the name Type here to search 83'F Rain coming ~(4 G B