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Transcript
FINAL EXAM Review Sheet MATH 2600
You may (but are not required to) bring:
1. a graphing calculator (TI-83+ or equivalent),
2. two 8.5 inch by 11 inch sheets of paper of notes (infomally called "cheat sheets")
3. any of the following tables:
the binomial table (Table II of Appendix A),
the standard normal table (front cover of your text),
the t-distribution table (front cover of your text),
You should be able to:
From a data set ( of size  30)
Produce a stem-leaf plot
Find the mean, standard deviation, and median
Find the five number summary (min, Q1, median, Q3, max)
Draw a box plot (box and whiskers plot) from this summary
Describe a distribution (shape, center, spread, "quarters" of data set)
From a frequency table
Find the mean and standard deviation
Sketch a histogram
Apply
Chebyshev's Rule <for any distribution>
Empirical Rule <only appropriate for bell-shaped (mound-shaped)>
Determine if an event is "common" or "uncommon"
use 2-standard deviations from mean as a measure
For probability
Determine the sample space of an experiment, Determine the complement of an event
Find theoretical probabilities under "equally likely" assumption
Determine if events are independent
(A and B are independent iff P(A and B) = P(A)P(B) or P(A|B)= P(A) or P(B|A) = P(B))
Addition rule P(A or B) = P(A) + P(B) – P(A and B), Multiplication rule P(A and B) = P(A|B)P(B)
Counting using addition rule, multiplication rule, combinations, permutations, partitions
Discrete probability distributions
determining if a discrete probability distribution is valid (two conditions to check)
mean (expected value) variancestandard deviation
Bernoulli trials, Binomial experiments, Binomial distribution: n, p, q, X, x, P(X = x),
Find probabilities of events of binomial experiments
P(X = x) = binompdf(n,p,x)
P(0  X  x) = binomcdf(n,p,x)
Continuous probability distributions
uniform distribution
normal distribution , N() ---- standard normal z ~ N()
invnorm(Area,) and normcdf(Low, High, ) calculator functions
interpretation (test #3, #5ce)
_
Central Limit Theorem -- Sampling Distributions for the sample mean x 
Confidence intervals for the mean of a population
Using ZInterval or TInterval as appropriate, Interpretations
**Hypothesis Tests for claims about the population mean (one-tailed, two-tailed) --- Chapter 8
Using ZTest or TTest as appropriate, test statistic, p-value, null hypothesis, alternate hypothesis