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

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Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean p = 233 days and standard deviation o = 14 days. Complete parts (a) through (1) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What is the probability that a randomly selected pregnancy lasts less than 228 days? The probability that a randomly selected pregnancy lasts 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.) A. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last more than 228 days O B. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last less than 228 days O C. If 100 pregnant individuals were selected independently from this population, we would expect pregnancies to last exactly 228 days. (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 us; = and o; = (Round to four decimal places as needed.)

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