Use the  t distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal.

Test  H o : U 1 = U 2 vs H a = U 1 > U 2  using the sample results  X 1 = 56, S 1 = 8.2, with n 1 = 30 and x 2 = 51, s 2 = 6.9 with n 2 = 40 ( each x has a line over it)

(a) Give the test statistic and the P  value.

Round your answer for the test statistic to two decimal places and your answer for the -value to three decimal places.

test statistic =

P value =

(b) What is the conclusion of the test? Test at a 5% level.

pick one

reject H o

or

do not reject H o