The length of human pregnancies is approximately normal with mean p = 266 days and standard deviation 0 = 16 days. Complete parts (a) through (f). The probability that a randomly selected pregnancy lasts less than 261 days is approximately El. (Round to tour 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- It 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 261 days. O B- It 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last less than 261 days. O C- It 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 261 clays. (b) Suppose a random sample of 40 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is E with p; = D and a; = D (Type integers or decimals rounded to four decimal places as needed.) (c) What is the probability that a random sample of 40 pregnancies has a mean gestation period of 261 days or less? The probability that the mean 01 a random sample of 40 pregnancies is less than 261 days is approximately (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and ll in the answer box within your choice. (Round to the nearest integer as needed.) 0 A- It 100 independent random samples of size n = 40 pregnancies were obtained trom this population, we would expect I] sample(s) to have a sample mean of 261 days or less. 0 3- It 100 independent random samples of size n = 40 pregnancies were obtained trom this population, we would expect I] sample(s) to have a sample mean of exactly 261 days. 0 C. It 100 independent random samples of size n = 40 pregnancies were obtained trom this population, we would expect |:| sample(s) to have a sample mean of 261 days or more. (d) What is the probability that a random sample of 62 pregnancies has a mean gestation period of 261 days or less? The probability that the mean 01 a random sample of 62 pregnancies is less than 261 days is approximately I]. (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- It 100 independent random samples of size n = 62 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 261 days. O B- It 100 independent random samples of size n = 62 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 261 days or more. O C- It 100 independent random samples of size n = 62 pregnancies were obtained trom this population, we would expect sample(s) to have a sample mean of 261 days or less. (e) What might you conclude if a random sample of 62 pregnancies resulted in a mean gestation period of 261 days or less? This result would be E so the sample likely came from a population whose mean gestation period is l (f) What is the probability a random sample of size 13 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 |_|. Click to select your answeds). 266 days
