Using a table of critical tvalues of the t distribution find

Using a table of critical t-values of the t distribution, find the range of values for the P-value for testing a claim about the mean body temperature of healthy adults for a left-tailed test with n=10 and test statistic t=2.651.

What is the range of values for the P-value?

A. 0.025<P-value<0.05

B. P-value<0.005

C. 0.005<P-value<0.01

D. 0.01<P-value<0.025

Solution

p value is Prob(X<=x) where x is -2.651

and X follows t distribution with n-1=9 degrees of freedom

By using minitab we get the point as 0.0132164

Option

D