QID: #85763

Subject: Accounting Status: Order This Question Now
Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean mu equals 131 days μ=131 days and standard deviation sigma equals 8 days σ=8 days. Complete parts? (a) through? (f) below. ?(a) What is the probability that a randomly selected pregnancy lasts less than 128 128 ?days? The probability that a randomly selected pregnancy lasts less than 128 128 days is approximately 0.352 0.352. ?(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 35 35 pregnancies to last less than 128 128 days. Your answer is correct. B. If 100 pregnant individuals were selected independently from this? population, we would expect nothing pregnancies to last more than 128 128 days. C. If 100 pregnant individuals were selected independently from this? population, we would expect nothing pregnancies to last exactly 128 128 days. ?(b) Suppose a random sample of 19 19 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x overbar x is normal with mu Subscript x overbar μxequals = 131 131 and sigma Subscript x overbar σxequals = 1.8353 1.8353. ?(Round to four decimal places as? needed.) ?(c) What is the probability that a random sample of 19 19 pregnancies has a mean gestation period of 128 128 days or? less? The probability that the mean of a random sample of 19 19 pregnancies is less than 128 128 days is approximately nothing . ?(Round to four decimal places as? needed.)
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