What does it mean when a 95% confidence for (μ₂ − μ₁) includes zero?

Question

Answer

There is strong evidence that the two population means are significantly different at the 5% level.

Answer

The true difference in means is zero

Answer

The second population mean is definitely greater than the first population mean.

Answer

Zero is a plausible value, so at the 95% confidence level there is insufficient evidence to conclude that the two population means are different.

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