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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). ine probability that the mean of a random sample of 100 pregnancies is less than zbz days is U.UUbZ. (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 = 100 pregnancies were obtained from this population, we would expect 1 sample(s) to have a sample mean of 262 days or less. OB. If 100 independent random samples of size n = 100 pregnancies were obtained from this population, we would expect days. OC. If 100 independent random samples of size n = 100 pregnancies were obtained from this population, we would expect more. sample(s) to have a sample mean of exactly 262 sample(s) to have a sample mean of 262 days or (e) What might you conclude if a random sample of 100 pregnancies resulted in a mean gestation period of 262 days or less? less than 266 days. This result would be unusual, so the sample likely came from a population whose mean gestation period is (f) What is the probability a random sample of size 18 will have a mean gestation period within 8 days of the mean? The probability that a random sample of size 18 will have a mean gestation period within 8 days of the mean is (Round to four decimal places as needed.)

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