Area falls between these two t values with 25 degrees of freedom

billyb

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Sep 13, 2012
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Where 90% of the area falls between these two t values with 25 degrees of freedom.

Lowest value:
Highest value:

please halp me

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Where 90% of the area falls between these two t values with 25 degrees of freedom.

Lowest value:
Highest value:

please halp me

View attachment 2652
If you are testing a single-tail, find the point where the area in the tail is 10%

For a two-tailed test, which would seem to be what you want since you are asked for high and low values, use the column for .05 in the tail to get the "high" value. The t-distribution is symmetric, and F(-t)=1-F(t). That works out to say the low value is the negative of the high value.
 
Why would I use the column of .05 for 90%?

What if it were 95% instead, with 45 degrees of freedom?
 
Why would I use the column of .05 for 90%?

What if it were 95% instead, with 45 degrees of freedom?
If there is 5% in the upper tail and 5% in the lower tail, the area between is 90%.

For 95% between tails, each tail has (100% - 95%)/2 of the area under the curve.
 
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