Question

A weight-loss program claims that, on average, participants lose 10 pounds during the first month of participation. An independent organization constructed a 95% confidence interval of (6.63 , 9.15) for the average amount of weight lost during the first month of this program. What conclusion best evaluates the claim made about this program’s effectiveness?

Answer 1

`6.63 \leq \mu_D \leq 9.15`

For this case since the confidence interval not contains the value 0 we can conclude that we have a significant effect in terms of the loss weight since the confidence interval just show positive values, this conclusion can be made at a significance of 5%

Explanation:

For this case we know that the confidence interval for the weight loss program is given by:

`6.63 \leq \mu_D \leq 9.15`

For this case since the confidence interval not contains the value 0 we can conclude that we have a significant effect in terms of the loss weight since the confidence interval just show positive values, this conclusion can be made at a significance of 5%