Final Exam Review, with answers and partial solutions

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The Final Exam Review problems are here:

MAT2572FinalReviewSpring2018

The answers and partial solutions are here:

MAT2572FinalReviewSpring2018-answers

This is the 100% corrected version. Somehow the uncorrected version was the one posted to Piazza, and then Ned tried to fix it and only fixed one of the errors. Sorry about that!

 

The Final Exam will have only 9 problems: there is some repetition of material in these problems.

You will be provided with a table of critical values for $\chi^{2}$, since many of your calculators will not compute these for you.

You will be allowed to use one 8.5 by 11 inch sheet of paper containing FORMULAS ONLY, which you should start preparing while you work these problems. Below are my suggestions, but it is up to you to see what formulas you need to recall while working the problems. You sheet must be handed in along with the exam paper.

Suggestions:

Bayes’ Theorem, and/or (even better) the two formulas below:

$P(A\cap B) = P(A|B)P(B)$ and $P(A\cap B) = P(B|A)P(A)$

$P(A) = P(A\cap B) + P(A\cap B’)$

The formulas for the  mean and standard deviations of the special probability distributions.

The formula for a confidence interval for the population mean, if the population standard deviation is known. (It uses Z)

The formula for a confidence interval for a population proportion

The formula for a confidence interval for a population variance

 

You may also want to include the syntax for computing the special probabilities on your calculator, if you tend to forget. For example, computing a normal probability on the TI-84 has the syntax:

normalcdf(lowerbound, upperbound, mu, sigma)