Question

An investigator wants to test the effectiveness of a new weight loss medication at reducing BMI (kg/m²). In order for the medication to have a high chance of receiving a sizeable investment, the mean difference in BMI must be greater than or equal to 5 kg/m² in a pre/post test of BMI in participating individuals. Suppose the following table represents the results from a SRS of individuals enrolled in the study. Assume a normal approximation is acceptable.

Patient	BMI Pre-Test (kg/m2)	BMI Post-Test (kg/m2)
A	32.5	24.5
B	34.8	26.3
C	33.6	22.4
D	31.7	23.7
E	30.9	22.4

A) Is there sufficient evidence provided by the SRS to conclude that the medication is successful at reducing the overall BMI in the population by more than 5 kg/m²? (Use α=0.05)

B) Construct a 95% confidence interval, and provide an interpretation. Does your interval further support your decision in the hypothesis test above?

Answer 1