Question

difference

• click for live demo

shawen has incorporated a new workout plan. she wants to lower the body mass index (bmi) of her clients. her clients average bmi is 28. after implementing the workout plan, the average bmi of her clients is 21. shawen uses software to simulate 25 trials of the mean difference in bmi. find shawen’s mean difference and determine whether the change is significant and if it’s a plausible result.
(7 points)

• the difference between the means is 7, so it is not a plausible result.
• the difference between the means is 4, so it is a plausible result.
• the difference between the means is 7, so it is a plausible result.
• the difference between the means is 5, so it is not a plausible result.

Explanation:

Step1: Calculate mean difference

The initial mean BMI is 28, and the new mean BMI is 21. The mean difference is calculated as \( 28 - 21 = 7 \).

Step2: Analyze plausibility

A mean difference of 7 in BMI after a workout plan implementation: typically, a significant and rapid change of 7 in BMI (a measure related to body composition) is not very plausible in a short - term workout plan context (since BMI change is usually more gradual, and a change of 7 would imply a large change in body weight or composition in a short time). So the difference of 7 is not a plausible result.

Answer:

The difference between the means is 7, so it is not a plausible result.