Question

If given the following, please find the p-value when using a 2 tailed test.

Sample size = 4

Sample mean = 40

Standard error of mean = 5

True mean = 30

Answer 1

Test Statistic : t

Degrees of freedom =Sample size -1 = 4-1=3

For two tailed test :

For 3 degrees of freedom , P(t>2) = 0.069663

p-value = 2 x P(t>2) =2 x 0.06966 = 0.139326

p-value = 0.139326