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Statistics summary to pass the course!

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Using this summary, I managed to pass Statistics 2 with a 9,3. (93%) This summary contains of what to use when in the calculation of probabilities. As well as that it covers all import theory and definitions.

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  • January 11, 2024
  • 26
  • 2023/2024
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Statistics 2
Probabilities
08-01-2023




1

,Table of Contents
Parameters........................................................................................................................3
Basic Formulas...................................................................................................................4
Multiplication Rule.............................................................................................................4
Addition Rule.....................................................................................................................5
Complement Rule...............................................................................................................5
Conditional Probability.......................................................................................................5
Probability Keywords.........................................................................................................6
What to use when?............................................................................................................7
Dependent & Independent...............................................................................................10
Probability Distribution....................................................................................................10
Binominal Distribution.....................................................................................................11
Normal Distribution.........................................................................................................12
Sampling Errors................................................................................................................13
Sampling Distribution.......................................................................................................13
Confidence Interval..........................................................................................................14
Central Limit Theorem................................................................................................................16
Hypothesis Testing...........................................................................................................18
Two-tailed hypothesis testing...........................................................................................19
T-test................................................................................................................................21
T-test with two samples...................................................................................................22
Chi-square Analysis (Contingency Analysis)......................................................................24




2

, Parameters
Symbol Meaning Extra info

P-value Probability P = always between 0 and 1
(%)

n Number of trials

n Sample size

X Random variable (how many
of a certain outcome)

Ex Expected value What you expect to find
most often. (or on average)

µ Population mean (Mu)

x Sample mean

σ Standard deviation (Sigma)

σx Standard error

μx Mean sampling distribution

H0 Null hypothesis (status Innocent
quo/claim)

HA Alternative hypothesis Guilty
(Researcher’s hypothesis)




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