Find the test statistic, t, to test the hypothesis that μ₁=μ₂​. Two samples are randomly selected and come from populations that are normal. The sample statistics are given below:
Sample 1:
- Sample size (n₁​): 25
- Sample mean (xˉ₁​): 29
- Sample standard deviation (s₁​): 1.5
Sample 2:
- Sample size (n₂​): 30
- Sample mean (xˉ₂​): 27
- Sample standard deviation (s₂​): 1.9