Question

Suppose that for years the mean of population 1 has been accepted as the same as the mean of population 2, but that now population 1 is believed to have a greater mean than population 2. Letting = 0.05 and assuming the populations have equal variances and x is approximately normally distributed, use the following data to test this belief.

Sample 1

Sample 2

43.6	44.4
44.0	49.1
45.2	45.6
40.8	46.5
48.3	45.1

40.1	35.6
42.2	42.3
43.1	38.8
37.4	43.3
41.0	40.5

(Round the intermediate values to 3 decimal places. Round your answer to 2 decimal places.)

Observed t =

The decision is to reject or fail to reject?

Answer 1