Using the Central Limit Theorem · Exercise 37
Suppose that the length of research papers is uniformly distributed from 10 to 25 pages. We survey a class in which 55 research papers were turned in to a professor. The 55 research papers are considered a random collection of all papers. We are interested in the average length of the research papers.
(a) In words, X = _____________.
(b) X ~ _____(_____, _____)
(c) μ_x = _____
(d) σ_x = _____
(e) In words, = ______________.
(f) ~ _____(_____, _____)
(g) In words, ΣX = _____________.
(h) ΣX ~ _____(_____, _____)
(i) Without doing any calculations, do you think that it’s likely the professor will need to read a total of more than 1,050 pages? Why?
(j) Calculate the probability that the professor will need to read a total of more than 1,050 pages.
(k) Why is it so unlikely that the average length of the papers will be less than 12 pages?
Its source prints no answer for this problem, so there's nothing to check against.
OpenStax, Statistics · §7.3 Using the Central Limit Theorem · Exercise 37
No hints for this one.
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