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Hypothesis Testing Cheat Sheet
Statistics (Ryerson University)
lOMoARcPSD|18360879
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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  • 1. Studocu is not sponsored or endorsed by any college or university Downloaded by enam professor (enamprofessor@gmail.com) Hypothesis Testing Cheat Sheet Statistics (Ryerson University) lOMoARcPSD|18360879
  • 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) lOMoARcPSD|18360879
  • 3. Downloaded by enam professor (enamprofessor@gmail.com) lOMoARcPSD|18360879