Suppose we want to determine if a new drug was effective at causing weight loss. To determine this, we randomly select 10 subjects, and weighed them before and after treatment. The resulting summary data for the differences is given below. Assume that the differences come from a normal distribution and the data below is based on before-after. Sample Size 10
Sample Differences Mean 6.25
Sample Differences Standard Deviation 7.52

Required:
a. Explain why we consider this paired data
b. Give the null and alternative hypotheses
c. Calculate the test statistic (Show work)
d. Using α=0.05, make a decision based on the hypotheses
e. Draw conclusions based on the real-world question