Statistic
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hypothesis test for one population mean when sigma is known
 Z test
 assumptions:
 1. Simple random Sample
 2. sigma is known
 3. normal or large distribution

test for 1 population mean when sigma is unknown
 Ttest
 assumptions:
 1.Simple random Sample
 2. sigma is unknown
 3. normal or large n

2 population mean when standard deviations are the same
 Pooled ttest
 If the large S divided by small S is less than 2 it is still pooled
 assumptions:
 1. Simple random Sample
 2. independent samples
 3. same standard deviations
 4. normal or large n

pooled tinterval
assumptions are the same for 2 population mean pooled t test

2 population means when standard deviations are not the same
 non pooled t test
 assumptions:
 1.Simple random Sample
 2. independent samples
 3. standard deviations are not the same
 4. normal or large n

paired ttest
 differences between populations make it a t test
 assumptions:
 1. Simple random Sample
 2. normal or large n
 null: mu1=mu2 (difference is 0)
 alternative: mu1 <,>,not = mu2

chi squared/ chi squared goodness of fit
 always right skewed
 assumptions:
 1. all expected frequences are at least 1
 2. at most 20% of expected frequencies are less than 5
 3.Simple random Sample
 null: two variables are not associated
 alternative: they are associated