a statistical test used to draw conclusions about the population mean when the null hypothesis is rejected.

to make an assumption about the population mean and then decide whether to accept it using a test statistic.

a scientific method used to make conclusions whether to reject or not reject the null hypothesis.

a way to assess the evidence provided by data and draw conclusions concerning the population mean.

μ₁ > μ₂

The difference in means

n₁ + n₂ - 2

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

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

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