Question

is Question: 6 pts 2 of 15 (8 complete) Luppose the lengths of the pregnancies of a certain animal are approximately normally di d with mean 160 days and standard deviation 13 days. Complete parts (a) through below .) What is the probability that a randomly selected pregnancy lasts less than 155 days? The probability that a randomly selected pregnancy las less than 155 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.) D A 100 pregnant individuals were selected independently from this population, we would expect pregnancies to fast exactly 156 days UB. Y 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 156 days C. Y 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last less than 155 days (b) Suppose a random sample of 19 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies The samping distribution of wh a ndo- (Round to four decimal places as needed.) (c) What is the probability that a random sample of 19 pregnancies has a mean gestation period of 155 days or less? The probably that the mean of a random sample of 19 pregnancies is less than 10 days is prox y (Round to four decimal places as needed) Interpret this probability Select the correct choice below and in the answer box with your choice (Round to the nearest Integer as needed) O A 100 independent random samples of sirene 10 pregnancies were obtained from this population, we would expect sample) to have a sample mean of 155 days or more B. 100 independent random samples of sirene 19 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 155 days or less. O C. 100 independent random samples of siren 19 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 155 days. What is the probability that a random sample of pregnancies has a mean gestation period of 15 days Click to select your answer(s).

Answer 1

② = 160 days, s= 13 days. P(x <155) aus 5 -13 dan 12 ) in Axelss) - P(Z < 150-160 AP (24-0.4166) = 0.3385. If 100 pregnant individuals are selected we would expect nancies to last less than Iss. 22.982 © © =19, file Je = 100 - la Sa 2.989 2.762 P(x5155) - P(Z < 1932.Tam ) aregg) - Plzs 155-160 = P(Z < 5 gr ) = P(Z<-1676) = 0.0259 13 de 19 were obtained from a I 100 independent Dopulation we would saviples of expect size na19 were samples to have obtained from sample mean of or 155 10.0469x100 Qars less

& P(x<155) = P(za 155-1607 - P (2 < -2.339) - 0.001 . Probability that mear of random sample of 37 is less than 155 days or less is 0.001 we would expect of