This document provides a cheat sheet on hypothesis testing. It lists common hypothesis tests including the z-test, one sample t-test, paired t-test, two sample t-test with equal variances, and two sample t-test with unequal variances. For each test, it gives the purpose, an example, the equation, and notes on using the test in Excel. The cheat sheet is intended for statistics students at Ryerson University.
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Hypothesis Testing Cheat Sheet
Statistics (Ryerson University)
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2. Hypothesis Testing
Type Of Test Purpose Example Equation Comment Excel Function
Z Test
Test if the average of a
single population is equal to
a target value
Do babies born at this
hospital weigh more than
the city average
Z test does not need df
σ = population standard
deviation
=Ztest(array,x,sigma)
1 Sample
T-Test
Test if the average of a
single population is equal to
a target value
Is the average height of
male college students
greater than 6.0 feet?
s = sample standard
deviation
no built in equation
use =STDEVA for standard
deviation
use =AVERAGE for mean
use =T.DIST.RT to get 1 tailed
confidence
use =T.DIST.2T to get 2 tailed
confidence
Paired
T-Test
Test if the average of the
differences between paired
or dependent samples is
equal to a target value
Weigh a set of people.
Put them on a diet plan.
Weigh them after.
Is the average weight loss
significant enough to
conclude the diet works?
d bar = average difference
between samples
s = sample deviation of the
difference
n = count of one set of the
pairs (don't double count)
=TTEST(Array1,Array2,*,1)
* -> 1 for 1 tailed,
2 for 2 tailed
n1, n2 = count of sample 1, 2
2 Sample
T-Test
Equal Variance
Test if the difference
between the averages of
two independent
populations is equal to a
target value
Do cats eat more of type A
food than type B food
=TTEST(Array1,Array2,*,2)
2 Sample
T-Test
Unequal Variance
Test if the difference
between the averages of
two independent
populations is equal to a
target value
Is the average speed of
cyclists during rush hour
greater than the average
speed of drivers
=TTEST(Array1,Array2,*,3)
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