- 2-Tailed Confidence IntervalΒ - is dual to 2-Tailed Hypothesis Test
- 1-Tailed Confidence Interval - is dual to 1-Tailed Hypothesis Test
- lower confidence interval -
- upper confidence interval -
Example 1-Tailed & 2-Tailed CIs for Sample Mean πΜ
2-Tailed Confidence Interval
/ci---1-tailed--and--2-tailed/two-sided-confidence-interval.png)
2-Sided CI
- π§-distribution -Β [Β πΜ - π§πΌ/2ππΈ(πΜ ),Β πΜ + π§πΌ/2ππΈ(πΜ ) ]
- π‘-distribution -Β [Β πΜ -Β π‘πΌ/2ππΈ(πΜ ),Β Β πΜ + π‘πΌ/2ππΈ(πΜ ) ]
1-Sided Lower CI
- π§-distribution -Β [ -β,Β πΜ + π§πΌππΈ(πΜ )Β ]
- π‘-distribution -Β [Β -β,Β Β πΜ +Β π‘πΌππΈ(πΜ )Β ]
1-Sided Upper CI
- π§-distribution -Β [Β πΜ -Β π§πΌππΈ(πΜ ),Β βΒ ]
- π‘-distribution -Β [Β πΜ -Β π‘πΌππΈ(πΜ ), βΒ ]
1-Tailed Lower Confidence Interval
/ci---1-tailed--and--2-tailed/one-sided-confidence-interval-lower.png)
1-Tailed Upper Confidence Interval
/ci---1-tailed--and--2-tailed/one-sided-confidence-interval-upper.png)