What is the formula to calculate a p-value by hand from the results of a t-test?  For example: Two Sample t-test data: x and y t = -18.509, df = 10, p-value = 1 alternative hypothesis: true difference in means is greater than 0 95 percent confidence interval: -233.4911 Inf sample estimates: mean of x mean of y 165.8333 378.5000

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(Please do not give me the Excel explanation, just the formula and if you do know how to do it by hand show the steps. If you happen to know how to use R that would be a bonus. My continued use of this service may depend on your answer. ).

What is the formula to calculate a p-value by hand from the results of a t-test? 

For example:

Two Sample t-test


data: x and y
t = -18.509, df = 10, p-value = 1
alternative hypothesis: true difference in means is greater than 0
95 percent confidence interval:
-233.4911 Inf
sample estimates:
mean of x mean of y
165.8333 378.5000

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