Hypothesis Testing

Hypothesis Testing

Approximate p-value when testing mean of a distribution

Testing the difference of means of the distribution X̅-Y̅

If σ^2 is unknown, replace by its unbiased estimate σ̂^2

If σ^2 is unknown, replace with σ̂^2;

Remember ranges for rejecting p-value

p<0.01 - very strong evidence to reject

0.01<p>0.05 - strong evidence to reject

p>0.05 - insufficient evidence to reject

with p-value;

or

where