Consider the following hypothesis test.

H₀:₁₂= 0

H_a:₁₂0

The following results are from independent samples taken from two populations.

Sample 1 Sample 2

n₁= 35 n₂= 40

x₁= 13.6 x₂= 10.1

s₁=5.6 s₂=8.4

(a) What is the value of the test statistic? (Usex₁x₂.) Round your answer to three decimal places.)

(b) What is the degrees of freedom for thetdistribution? (Round your answer down to the nearest integer.)

(c) What is thep-value? (Round your answer to four decimal places.)