Let X be the length of pregnancy in days. It has mean of 266 days (and σ = 16 days). However, the distribution is skewed to the left because of a very few pre-mature babies. Suppose you
wanted to estimate the average pregnancy length. You were unaware that µ = 266, so you took a random sample of 64 births at the local hospital (a retrospective observational study).
a. Draw the distribution of all possible ¯x’s (from n = 64)
b. What proportion of these ¯x’s are greater than 265 days?
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