A researcher wants to estimate the average number of hours teenagers spend on social media daily. She collects three random samples of 50 teenagers each and finds the following averages:



Sample 1: 2.8 hours


Sample 2: 3.1 hours


Sample 3: 2.9 hours



Which conclusion is most reasonable based on this data?
(4 Points)

The true average must be exactly 2.9 hours.

The true average is probably between 2.8 and 3.1 hours.

The results are unreliable because all three samples are different.

The true average must be the highest value recorded (3.1 hours).

1 answer

The most reasonable conclusion based on the data provided is:

The true average is probably between 2.8 and 3.1 hours.

This choice acknowledges that the averages from the three samples are relatively close together, suggesting that the true average could reasonably lie within this range. The other options either make unfounded claims or suggest unreliability without sufficient justification.