I've been presented with paired data for individuals' weights before and after a dieting program (paired t-test problem).
The question being asked is "test the hypothesis that the dieting program is effective." Does this wording relate to the null hypothesis or the alternative?
Below is the Minitab output for the paired t-test assuming that the null hypothesis is that there is no change. The descriptive statistics show that the mean weight before the dieting program (180 lbs.) is greater than the mean weight after the dieting program (170 lbs.).
Let mu1 = population mean before and mu2 = population mean after the dieting program. As can be seen in the Minitab output, I ran the paired t-test with following hypotheses...
Null hypothesis: mu of difference = 0 Alt. hypothesis: mu of difference > 0
Where "mu of difference" = mu1 - mu2. Have I interpreted "test the hypothesis that the dieting program is effective" correctly?