Just Letter D
Genesis Quezada & | 12/09/21 6:02 PM Homework: Section 8.1 Homework Question 7, 8.1.19-T HW Score: 89.93%, 10.79 of 12 points Part 6 of 9 Points: 0.58 of 1 Save Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean j = 191 days and standard deviation o = 19 days. Complete parts (a) through () below. (a) What is the probability that a randomly selected pregnancy lasts less than 185 days? The probability that a randomly selected pregnancy lasts less than 185 days is approximately 0.3761 . (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 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 185 days. O B. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 185 days. &C. If 100 pregnant individuals were selected independently from this population, we would expect 37 pregnancies to last less than 185 days. (b) Suppose a random sample of 17 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is normal with py = 191 and a- = 4.6082. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 17 pregnancies has a mean gestation period of 185 days or less? The probability that the mean of a random sample of 17 pregnancies is less than 185 days is approximately 0.0968. (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 independent random samples of size n = 17 pregnancies were obtained from this population, we would expect 10 sample(s) to have a sample mean of 185 days or less O B. If 100 independent random samples of size n = 17 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 185 days or more. O C. If 100 independent random samples of size n = 17 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 185 days. (d) What is the probability that a random sample of 43 pregnancies has a mean gestation period of 185 days or less? The probability that the mean of a random sample of 43 pregnancies is less than 185 days is approximately (Round to four decimal places as needed.)
