In: Statistics and Probability
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 α = 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: 43.6, 45.2, 43.4, 49.1, 45.2, 45.6, 40.8, 46.5, 48.3, 45.6 Sample 2: 40.1, 36.0, 42.2, 42.3, 43.1, 38.8, 38.8, 43.3, 41.0, 40.8
(Round the intermediate values to 3 decimal places. Round your answer to 2 decimal places.)
Observed t = ?
Decision is to reject null hypothesis or fail to reject null hypothesis?