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Unformatted text preview: 36-226 INTRODUCTION TO PROBABILITY & STATISTICS II – Midterm IIYou must show your work and/or explain your steps in order to get full credit or be consideredfor partial credit.This is a closed book/closed notes exam.You may use aone–sidedsheet of notes (8.5 by 11inches) and a calculator. You may not share a calculator, pencil, paper or anything else duringthe exam.Your ANDREW ID:Your First Name:Your Last Name:Your Signature:Grader use:ProblemTotalCorrect1–45678Total100*** Do not turn this page until instructed to do so.***1*PLEASE CHECK THAT YOU HAVE PAGES 2–8 + TWO TABLES*1. The power of a test is:(a) the probability of doing the right thing by rejectingH.(b) the probability of rejectingHby mistake.(c) the probability of doing the right thing by not rejectingH.(d) the probability of acceptingHby mistake.(e)1-P(type I error)2. Suppose that in a certain population, the IQ level of adults has a normal distribution with anunknown meanμand known SDσ= 20. The sample size needed in order to estimateμwitha 95% C.I. oflength5 is:(a)n= 16(b)n= 174.(c)n= 8.(d)n= 64.(e)n= 2563. Math SAT (SAT-M) scores of seniors from a large metropolitan area follow a normal distributionwith an unknown meanμand an unknown standard deviationσ. Suppose that based on thedata obtained from a random sample of 100 seniors who took the exam, the 95% C.I. forμis:(465 , 495)....
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