Hypothesis test formulas for averages
\sigma known
z_{0} = \cfrac{\bar{X} - \mu_{0}}{\cfrac{\sigma}{\sqrt{n}}}\sigma unknown, large sample
z_{0} = \cfrac{\bar{X} - \mu_{0}}{\cfrac{s}{\sqrt{n}}}\sigma unknown, small sample
t_{0} = \cfrac{\bar{X} - \mu_{0}}{\cfrac{s}{\sqrt{n}}}Formula hypothesis test for proportions
If does n\hat{p} > 5 and n(1 - \hat{p})> 5:
z_{0} = \cfrac{\hat{p} - p_{0}}{\sqrt{\cfrac{p_{0}q_{0}}{n}}}Hypothesis test formula for variances
\chi_{0}^{2} = \cfrac{(n - 1)s^{2}}{\sigma_{0}^{2}}Thank you for being at this moment with us:)
