Lemma
MediumSampling distributions
OpenStax, Statistics §7.1 The Central Limit Theorem for Sample Means (Averages) · Exercise 7 · Statistics · Sampling distributions

The Central Limit Theorem for Sample Means (Averages) · Exercise 7

Previously, De Anza's statistics students estimated that the amount of change daytime statistics students carry is exponentially distributed with a mean of $0.88. Suppose that we randomly pick 25 daytime statistics students.

(a) In words, Χ = ____________.
(b) Χ ~ _____(_____, _____)
(c) In words, = ____________.
(d) ~ ______ (______, ______)
(e) Find the probability that an individual had between $0.80 and $1.00. Graph the situation, and shade in the area to be determined.
(f) Find the probability that the average amount of change of the 25 students was between $0.80 and $1.00. Graph the situation, and shade in the area to be determined.
(g) Explain why there is a difference in part (e) and part (f).

~8 minWritten answer · compare with the solution

OpenStax, Statistics · §7.1 The Central Limit Theorem for Sample Means (Averages) · Exercise 7

Stuck? A gentle nudge

No hints for this one.

Something off?
Workspace
Your working

Check your full solution

Upload photos of your handwritten work or a PDF, and Lemma will read it and tell you whether it's right — and where it first goes wrong if not.