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MORE DETAIL of PANIC<br />

P ­ μ = the mean of the population<br />

ρ = the population proportion<br />

make this description very specific to the problem<br />

A ­ assumptions (3 to check)<br />

1) SRS must be stated in the problem<br />

2) check for "normality"<br />

a) this can be stated in the problem<br />

b)<br />

**<br />

* Sample size < 15.<br />

NO OUTLIERS, NORMAL POPULATION<br />

* Sample size ≥ 15.<br />

NO OUTLIERS, NO STRONG SKEW<br />

* Large sample size (n > 30)<br />

NO OUTLIERS<br />

if n(p) ≥ 10 and n(p­1)≥10<br />

∧<br />

then thumb 2 passes for ρ,p world<br />

c) plot a histogram or boxplot and eyeball<br />

the graph for "normality"<br />

3) 10(n) ≤ total population<br />

(Independence and thumb 1)<br />

(no better method available)<br />

N ­ name the test<br />

t­ confidence interval for a population mean<br />

with _____ degrees of freedom<br />

I ­ Interval (do the math)<br />

C ­ conclusion<br />

I am ____% confident that the true (mean or<br />

proportion) of the ________ population is<br />

captured by the interval ( , ) units.<br />

make this description very specific to the problem<br />

26

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