Let x1,x2,....xn be a random sample of size n from N (µ , σ2) population where µ and σ are both unknown. For testing H0:µ = µ0 against H2:µ = µ1(±µ0) if one uses the test statistic
then H0 is rejected at level ∝
- Observed T > ta,n-1
- Observed T > X2a,n-1
- Observed T > Fa;1,n-1