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Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean j =233 days and standard deviation o = 14

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Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean j =233 days and standard deviation o = 14 days. Complete parts (a) through (f) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (b) Suppose a random sample of 22 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x is with pi; = ]and o; = [ (Round to four decimal places as needed.) (c) What is the probability that a random sample of 22 pregnancies has a mean gestation period of 228 days or less? The probability that the mean of a random sample of 22 pregnancies is less than 228 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.) O A. If 100 independent random samples of size n = 22 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 228 days or less O B. If 100 independent random samples of size n = 22 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of exactly 228 days O C. If 100 independent random samples of size n = 22 pregnancies were obtained from this population, we would expect sample(s) to have a sample mean of 228 days or more

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