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Formula Sheet for ST 311 at NCSU
Typology: Cheat Sheet
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Exploring Data: Distributions
(outliers).
1
2
๐
2
o The first quartile Q1 is the point with 25% of the data below it.
o The median M is the point with 50% of the data below it.
o The third quartile Q3 is the point with 25% of the data above it.
1
o Minimum, Q 1
3
, Maximum
๐ฅโ๐
๐
and ๐ฅ = ๐ + ๐ง โ ๐
Binomial Distribution:
Sampling Distribution of a Sample Proportion
๐ฬ
๐ฬ
๐๐
๐
โช The sample is random, and
๐
ฬ โ๐
โ
๐๐
๐
Sampling Distribution of a Sample Mean
๐
ฬ
๐
ฬ
๐
โ๐
can be approximated by a Normal if
โช The sample is random, and
โช The CLT applies:
is ๐ง =
๐ฅฬ โ๐
๐
โ๐
Confidence Intervals for a Proportion
โช The sample is random, and
๐ผ
2
Hypothesis Test for a Proportion
โช The sample is random, and
โ
Confidence Intervals for a Mean
โช The sample is random, and
โช The CLT applies:
๐ผ
2
,๐๐
๐
โ
๐
Hypothesis Test for a Mean
โช The sample is random, and
โช The CLT applies:
โ
Hypothesis Test for a Mean Difference
๐
โช The samples are random,
โช The samples are dependent, and
โช The CLT applies:
โ
๐
๐
Common Values from the Standard Normal