7. Suppose the lengths of pregnancies of a certain animal are approximately normally distributed with mean 108 days and standard deviation 9 days. a. What is the probability that a random sample of size 4 will have a mean length of pregnancies of more than 112 days? b. What is the probability that a random sample of size 10 will have a mean length of pregnancies of more than 112 days? c. If the length of pregnancies from part a or b were not normally distributed to begin with, could we still answer the question? Why or why not?
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