Suppose that for years the mean of population 1 has been accepted to be 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 = .05 and assuming the populations have equal variances and x is approximately normally distributed, use the following data to test thisbelief.

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Sample 1 43.6 45.7 44.0 49.1 45.2 45.6 40.8 465 48.3 45.0 Sample 2 40.1 36.4 42.2 42.3 43.1 38.8 37.5 43.3 41.0 40.2