Using the Central Limit Theorem · Exercise 39

The average length of a maternity stay in a U.S. hospital is said to be 2.4 days with a standard deviation of 0.9 days. We randomly survey 80 women who recently bore children in a U.S. hospital.

(a) In words, X = _____________
(b) In words, $\bar{X}$ = ___________________
(c) $\bar{X}$ ~ _____(_____,_____)
(d) In words, ΣX = _______________
(e) ΣX ~ _____(_____,_____)
(f) Is it likely that an individual stayed more than five days in the hospital? Why or why not?
(g) Is it likely that the average stay for the 80 women was more than five days? Why or why not?
(h) Which is more likely:
(a) An individual stayed more than five days.
(b) the average stay of 80 women was more than five days.
(i) If we were to sum up the women’s stays, is it likely that, collectively they spent more than a year in the hospital? Why or why not?

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Introductory Statistics 2e · §7.3 Using the Central Limit Theorem · Exercise 39