Applied Statistic Fall 2017 Problem 1. (16 polnta) The 1200 tenants of a large a

Question

Applied Statistic Fall 2017 Problem 1. (16 polnta) The 1200 tenants of a large apartmen have welght distribation as follow weight (pounda) 1 Number of tenant-pol x. 100 150 200 03 30 -2 Let W be the weight fs cmane n i e apariaht eita a. (2 points) Find the probability distribution table of W. 120 100 02 200-0 b. (2 points) what is the expected weight of all tenants, ie, -EW)-? 30 60 +20 18o c. (3 points) what is the standard deviation of weight, ie, a VV rw-t (Please roond your answer to 3 decimal places.) 45,826 d. (3 points) In a sample of randomly selected 36 tenants, let W be the average weight of the 36 ants. Please comment on the distribution of W. Specifically, what is the shape of distribution of

Explanation / Answer

d) E(W-hat) = 120
SE(W-hat) = 45.816/sqrt(36) = 7.636

e)
P(X>4680) = P( Z > ((4680 -120*36)/ sqrt(36)*7.636))
= P(Z > 7.8575) = 0
f)
P(X>2340) = P( Z > ((2340-120*18)/ sqrt(18)*7.636))
= P(Z > 5.5561) = 0

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