Question: A diet center claims that it has the most effective weight loss program in the region. Its advertisements say "Participants in our program lose more than 5 pounds within a month." Six clients of this program are weighed on the first day of the diet and then one month later.
a. Specify the null and alternative hypotheses that test the diet center's claim.
b. Assuming that weight loss is normally distributed, calculate the value of the test statistic.
c. Approximate the p -value.
d. At the 5% significance level, do the data support the diet center's claim?