Question

In a study of a weight loss​ program, 5 subjects lost an average of 42 lbs. It is found that there is about a 39​% chance of getting such results with a diet that has no effect. Does the weight loss program have practical significance?

Answer 1

Given the chance of getting the results, we would conclude that the weight loss program's results are not statistically significant.

How to conclude the significance ?

To determine if the weight loss program has practical significance, we need to consider whether the observed results are statistically significant. In this case, we are given that 5 subjects in the program lost an average of 42 lbs, and there is about a 39% chance of getting such results with a diet that has no effect.

In this case, the 39% chance of getting similar results with no effect is much higher than the typical significance level of 0.05. Therefore, we would conclude that the weight loss program's results are not statistically significant.

This suggests that the observed weight loss of 42 lbs in 5 subjects could have occurred due to random variation, and there is not enough evidence to conclude that the weight loss program has practical significance or a meaningful effect.

Answer 2

Yes, the weight loss program have practical significance

Explanation:

Given:

The average weight loss for the 5 subjects is 42 lbs, which is a significant loss.

Therefore,

the weight loss program is have the practical significance because, the average loss of the weight by the 5 subjects has an average value that is large enough to be considered. Thus, practically significant.