Let the test statistic T have a t distribution when H0 is tr

Let the test statistic T have a t distribution when H0 is true. Give the P-value for each of the following situations. (Round your answers to three decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question.

Solution

(a)

Test is right tailed so for df=16 and t=2.666 the P-value of the test is 0.0085.

(b)

Test is left tailed so for df=25-1=24 and t=2.238 the P-value of the test is 0.0174.

(c)

Test is two tailed so for df=41-1=40 and t=-1.282 or t=1.282 the P-value of the test is 0.207.