T-Interval test for mean

https://davidwills.us/stat200/CI_1_meanT.html
n=10    x̄=100    s=10   
SEM =
CL tc E CI LowerBound [ CI UpperBound ]
95%
99%

Effect of sample size n

n= 30
n=30    x̄=100    s=10   
SEM =
CL tc E CI LowerBound [ CI UpperBound ]
95%
99%

Larger n: critical values tc, margin of error E, and the confidence interval(s).

n= 100
n=100    x̄=100    s=10   
SEM =
CL tc E CI LowerBound [ CI UpperBound ]
95%
99%

The larger the sample size n is the the margin of error E, and the the confidence interval(s).


Effect of sample standard deviation s.
n=10    x̄=100    s=5   
SEM =
CL tc E CI LowerBound [ CI UpperBound ]
95%
99%

Smaller s: critical values tc, margin of error E, and the confidence interval(s).