Question

A company claimed that their new food supplement could reduce weight better than a placebo supplement over 6

weeks of time. A clinical trial was performed to test the difference in the mean weights. After the trial was over, the 95% CI for the difference in the mean weight (treatment minus placebo) was estimated to be [ 4.2 kg , 7.4 kg ]. Based on the interval, do you think there is a significant difference supporting the company?

YES or NO Why or why not? __________________________________________________________

Answer 1

Here we want to test

Ho:  1 - 2 = 0 Vs H1: 1 - 2 0

Given the 95% confidence interval ( 4.2 , 7.4)

The Confidence interval does not contain 0 so we reject the null hypothesis Ho

Conclusion : There is sufficient evidence to support the claim that their new food supplement could reduce weight better than a placebo supplement over 6 weeks of time

Yes , supporting the company's claim