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Midterm

# stat231_fall13_midterm2_solution_only.pdf

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School
University of Waterloo
Department
Statistics
Course
STAT 231
Professor
Matthias Schonlau
Semester
Fall

Description
Midterm 1 Solutions Stat 231, Fall 2013 Instructor: Banerjee/ Schonlau Q1 Heavy tails T distribution (4 d.f.) Q2 80% confidence interval. Critical value T distribution with 8.d.f. = 1.3968 Using the standard error from the output: CI: 3.444 +- 1.3968 * 1.344858 The 80% CI is (1,56 , 5.32) Q3 Likelihood Test = 2* = 0.0794 Critical value: 0.00393 for alpha=0.05 0.0794 Q4 Regression 2 = 109.13  CI = 0.64 +- 3.18*sqrt(109.13/730) = (-0.5895,1.6695) Q5 Nobel prize for literature. a) By Central limit theorem, the sampling distribution is approximately Gaussian(p, sqrt(pq/n)) where p=13/106=0.1226415 and sqrt(pq/n)= sqrt( (13/106 * ( 1-13/106) )/ 106)=.03186063 p+- c* se(p) c= 1.6449 from the Gaussian distribution table . di 0.1226415 + 1.6449 * .03186063 .1750491 . di 0.1226415 - 1.6449 * .03186063 .0702
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