E270 HW4

# E270 HW4 - E270 HOMEWORK PROBLEM SET 4 Next 3 questions are...

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E270 HOMEWORK PROBLEM SET 4 Next 3 questions are based on the fol owing "POPULATION" data: Item Value A 40 B 45 C 25 D 80 E 65 1 a) μ = 51 σ² = 298 b) μ = 51 σ² = 355 c) μ = 51 σ² = 374 d) μ = 51 σ² = 467.5 2 A random sample contains the items A, B, and E. The mean and variance of this sample are: a) 50 s² = 116.67 b) 50 s² = 175 c) 50 s² = 181 d) 50 s² = 188 3 Using the population data, the mean and variance of the mean for al possible samples of size n = 3 are: a) 51 62.33 b) 51 124.67 c) 51 0 d) 48 124.67 4 How many samples of size n = 5 can we select from a population of size N = 40? a) 324,632 b) 658,008 c) 3,838,380 d) 76,904,685 Next TWO questions are based on the fol owing 5 What is the expected value of the mean of al samples of size n = 81? That is, what is the mean of the means? a) 9 b) 91.8 c) 204 d) 729 6 a) 7 b) 0.7875 c) 63 d) 91.8 Next SIX questions are based on the fol owing A normal y distributed population has a mean µ = 748 and a standard deviation of σ = 88. 7 A single value from this population is selected. What is probability that the value is less than 720? a) 0.2743 b) 0.3085 c) 0.3745 d) 0.4602 8 What proportion of the data values fal within the interval 638 and 858? a) 0.6578 b) 0.7062 c) 0.7498 d) 0.7888 9 What interval of values contains 90% of al data points in the population? a) 635.36 860.64 b) 603.68 892.32 c) 575.52 920.48 d) 542.96 953.04 10 a) 0.0294 b) 0.0367 c) 0.0455 d) 0.0559 11 Using a sample size of n = 64, what is the probability that x fal s within values 733 and 763. ̄ a) 0.8262 b) 0.9011 c) 0.9131 d) 0.9545 12 What interval of values contains 95% of the means of al samples of size 64? a)

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## This document was uploaded on 10/27/2011 for the course ECON-E 270 at Indiana.

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E270 HW4 - E270 HOMEWORK PROBLEM SET 4 Next 3 questions are...

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