A diet center claims that it has the most effective weight loss program in the region. Its advertisement says "Participants in our program really lose weight." Five clients of this program are weighed on the first day of the diet and then three months later.
a. Specify the null and alternative hypotheses to test the diet center's claim.
b. Calculate the value of the test statistic T.
c. At the 5% significance level, what is the decision rule?
d. Do the data support the diet center's claim? Explain.