Stats
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When to use a z-interval?
Population standard deviation (σ) is known
Sample is random
Population is normal OR sample size is large
x̅
Sample Mean
Z*
Critical Value
(σ)
Population Standard Deviation
n
Sample Size
High Confidence Level
Larger margin of error
Larger Sample Size
Small margin of error
small standard deviation
small margin error
ME=z* (σ/√n)
Margin of error formula
How to Reduce Margin of Error
Increase sample size
Lower the confidence level
Use a t-interval when:
Population standard deviation is unknown
Use sample standard deviation (s)
Population is approximately normal OR sample size is large
Null Hypothesis
Ho
Alternative Hypothesis
Ha
Check Conditions:
Random Sample
Independent variable
Large counts condition