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The length of human pregnancies is approximately normal with mean = 266 days and standard deviation = 16 days. Complete parts (a) through (f).

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The length of human pregnancies is approximately normal with mean = 266 days and standard deviation = 16 days. Complete parts (a) through (f). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). The sampling distribution of x is normal (Round to four decimal places as needed.) with H = 266 and = 3.7712. (c) What is the probability that a random sample of 18 pregnancies has a mean gestation period of 262 days or less? The probability that the mean of a random sample of 18 pregnancies is less than 262 days is 0.1446. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and l in the answer box within your choice. (Round to the nearest integer as needed.) A. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect 14 sample(s) to have a sample mean of 262 days or less. B. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect more. OC. If 100 independent random samples of size n = 18 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 262 days or sample(s) to have a sample mean of exactly 262 days. (d) What is the probability that a random sample of 103 pregnancies has a mean gestation period of 262 days or less? The probability that the mean of a random sample of 103 pregnancies is less than 262 days is (Round to four decimal places as needed.)

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