Look up probabilities and critical values for the T-distribution.
Parameters
Probability Lookup Table
df
Left Tail P
Right Tail P
Two-Tail P
8
0.95845
0.04155
0.08310
9
0.96070
0.03930
0.07861
10
0.96247
0.03753
0.07506
11
0.96391
0.03609
0.07219
12
0.96509
0.03491
0.06982
T-Distribution results
Probability P(T < 2)0.96247Left Tail Probability
Right Tail P0.03753
Two-Tail P0.07506
Degrees of Freedom (df): 10
Overview
The Student's t-distribution is used for small sample sizes (n < 30) where the population variance is unknown. It's essential for hypothesis testing when the distribution is approximately normal.
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Pro Tips
Use the T-table when your sample size is small (n < 30).
For larger samples, the Z-table (Normal distribution) is usually preferred.
Always check if the degrees of freedom (n-1) are correctly calculated for your specific test.
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Fun Facts
"This distribution was invented by William Sealy Gosset while working for Guinness Brewery."
"Guinness forbid employees from publishing research, so he published it under the pseudonym 'Student' to keep his job!"
"As degrees of freedom increase, the T-distribution morphs into the Normal Distribution. Around 30df, they are almost indistinguishable!"
