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

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, = ___________________
(c) ~ _____(_____,_____)
(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.

~8 minWritten answer · check your work with Lemma

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

Stuck? A gentle nudge

No hints for this one.

Something off?
Workspace
Your working

Check your full solution

Attach photos of your pages (up to 3) or one PDF — or check what you typed above. Lemma reads the work and verifies the reasoning, not just the answer.

Your first check today doesn't need an account.

Your photos and PDFs are read once and not stored — only the transcription is kept.