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.

Client................... Weight on First Day of Diet....... Weight Three Months Later

1....................................... 155............................................... 151

2....................................... 205 ............................................... 203

3....................................... 167 ...............................................168

4....................................... 186 ...............................................183

5....................................... 194 .............................................. 195

a. Specify the null and alternative hypotheses to test whether the median difference for weight loss supports the diet center's claim.

b. At the 5% significance level, what is the decision rule?

c. Calculate the value of the test statistic T.

d. Do the data support the diet center's claim? Explain.