Yearly rainfall in a local watershed has µ = 21.2 in, σ = 3.7 in.What is the probability that a randomly selected year has a rainfall of less than 20 in?What are the mean and standard deviation for a sampling distribution of the mean for samples of size n = 36?Does the Central Limit Theorem apply? Explain in 1 – 2 complete sentences.Find the probability that the mean of a sample of n = 36 years is less than 20 in.Would it be unlikely to select a sample of n = 36 years with a mean less than 20 in? Use P(A) < 0.05.

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Answered: Yearly rainfall in a local watershed…

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Yearly rainfall in a local watershed has µ = 21.2 in, σ = 3.7 in.

What is the probability that a randomly selected year has a rainfall of less than 20 in?
What are the mean and standard deviation for a sampling distribution of the mean for samples of size n = 36?
Does the Central Limit Theorem apply? Explain in 1 – 2 complete sentences.
Find the probability that the mean of a sample of n = 36 years is less than 20 in.
Would it be unlikely to select a sample of n = 36 years with a mean less than 20 in? Use P(A) < 0.05.

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