STUDY GUIDE TO QUIZ 3
You are allowed ONE 8 1/2 by 11 inches set of notes (both sides)
Bring a calculator, you will be given
Chi squared, T distribution and
Normal distribution table.
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Readings:
Devore and cartoon guide: material for hw 6 7 and 8,
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Linear Combinations of Random Variables and approx mean and variance
(1) sum of normals is normal
(2) find mean or expected value of a linear combination
(3)find variance of a linear combination
(4) Normal or gaussian random variable f(x;mu, sigma)
i) how to go from X to Z by subtracting mean and dividing difference by
standard deviation
ii) how to compute probabilities of events using the cumulative normal
table in front of text
(5) using taylor series formula for approximate mean and variance
Estimators (Devore section 6.1)
(1) is estimator unbiased??
(2) what is variance of estimator
Confidence Intervals
(1) idea of a confidence interval (1-alpha) %
(2) compute confidence interval for
mean, (sigma known, z value for normal)
mean (sigma unknown, t distribution)
proportion (large sample test like cartoon guide)
(3) what sample size (find n) needed for a given width confidence interval
(4) confidence interval for variance and standard deviation
(chi squared distribution)
(5) how to compute a prediction interval (like HW 8 problem)
Hypothesis testing (chapter 8 devore and cartoon guide)
(1) what is idea, can you put a word problem in this framework
of Ho and H1,
(2) alpha type I error, Beta type II error, can both be small
at same time??
(3) 4 steps of cartoon guide or 7 steps of devore for a hypothesis
test, whats your conclusion (ACCEPT or REJECT. 17 royal flushes ??)
(4) compute z-test or t-test as test statistic
GOOD LUCK