Question: . Question 13 v In this problem, we explore using the Uniform distribution in the context of the Central Limit Theorem [CLT]. Suppose X m

 . Question 13 v In this problem, we explore using theUniform distribution in the context of the Central Limit Theorem [CLT]. SupposeX m U(3, 8]. We can imagine the distribution as a rectangle

with: Width W = 8 3 2 Height H = = l{enter as a fraction} Now suppose we want to find P{X 0\"""""""""I I I I I I I I I I I I

. Question 13 v In this problem, we explore using the Uniform distribution in the context of the Central Limit Theorem [CLT]. Suppose X m U(3, 8]. We can imagine the distribution as a rectangle with: Width W = 8 3 2 Height H = = l {enter as a fraction} Now suppose we want to find P{X 0\""""""""" I I I I I I I I I I I I I I I I I I 44 M\""\""\""\""" \\J A \\ c This is simply the area of a narrower rectangle with the same height and WidthW=3= Thus P(X 30, we know the sampling distribution will be approximately normal even though the original population was not: 4.6 4.9 5.2 5.5 5.8 6.1 6.4 sample mean (n=30) Q P(a

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