Question

To determine whether local college students maintain a healthy body weight with a BMI of 25 kg/m², we randomly select 25 students on campus and get their average BMI of 28 kg/m²... Options: a) What is the sample mean BMI for the selected students? b) What is the population mean BMI for local college students? c) Is there sufficient evidence to conclude that the students maintain a healthy body weight? d) What is the standard deviation of the sample mean BMI?

Answer 1

The sample mean BMI for the selected 25 college students is 28 kg/m². The population mean BMI cannot be determined from this data. The average BMI of 28 kg/m² suggests the students are generally overweight, not within the healthy weight range. The standard deviation of the sample mean BMI is not calculable with the given data.

Step-by-step explanation:

The given question provides statistical data related to the Body Mass Index (BMI) of a group of college students. Here are the answers to the options:

• (a) The sample mean BMI for the selected students is 28 kg/m².
• (b) The population mean BMI for local college students cannot be determined from the given data. It would require access to the BMIs of all college students in the region.
• (c) Based on the definition of BMI, a healthy range is 18 to 24.9 kg/m². Given the sample mean of 28 kg/m², which is in the overweight range, there is insufficient evidence to suggest these students maintain a healthy body weight.
• (d) The standard deviation of the sample mean BMI cannot be determined from the given information. We would need the individual BMI data for the 25 students in the sample.

Learn more about Body Mass Index (BMI)