The Length Of Human Pregnancies Is Approximately Normal With Mean U 266 Days And Standard Deviation O 16 Days Compl 1 (208.07 KiB) Viewed 89 times
The length of human pregnancies is approximately normal with mean µ = 266 days and standard deviation o = 16 days. Complete parts (a) through (f). (a) What is the probability that a randomly selected pregnancy lasts less than 260 days? The probability that a randomly selected pregnancy lasts less than 260 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 B. If 100 pregnant individuals were selected independently from this population, we would expect OC. If 100 pregnant individuals were selected independently from this population, we would expect and ox (b) Suppose a random sample of 14 human pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is (Type integers or decimals rounded to four decimal places as needed.) (c) What is the probability that a random sample of 14 pregnancies has a mean gestation period of 260 days or less? with Hx pregnancies to last more than 260 days. pregnancies to last less than 260 days. pregnancies to last exactly 260 days. = The probability that the mean of a random sample of 14 pregnancies is less than 260 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 independent random samples of size n = 14 pregnancies were obtained from this population, we would expect OB. If 100 independent random samples of size n = 14 pregnancies were obtained from this population, we would expect C. If 100 independent random samples of size n = 14 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 260 days. sample(s) to have a sample mean of 260 days or less. sample(s) to have a sample mean of 260 days or more.
(d) What is the probability that a random sample of 50 pregnancies has a mean gestation period of 260 days or less? The probability that the mean of a random sample of 50 pregnancies is less than 260 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 independent random samples of size n = 50 pregnancies were obtained from this population, we would expect B. If 100 independent random samples of size n = 50 pregnancies were obtained from this population, we would expect O C. If 100 independent random samples of size n = 50 pregnancies were obtained from this population, we would expect (e) What might you conclude if a random sample of 50 pregnancies resulted in a mean gestation period of 260 days or less? so the sample likely came from a population whose mean gestation period is (f) What is the probability a random sample of size 17 will have a mean gestation period within 11 days of the mean? The probability that a random sample of size 17 will have a mean gestation period within 11 days of the mean is (Round to four decimal places as needed.) This result would be sample(s) to have a sample mean of 260 days or more. sample(s) to have a sample mean of 260 days or less. sample(s) to have a sample mean of exactly 260 days. 266 days. Next
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