Question a-park

3.6 Inference from Samples & Margin of Error - Margin of error interpretation
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A park ranger asked a random sample of visitors how far they hiked during their visit. Based on the responses, the estimated mean was found to be 4.5 miles, with an associated margin of error of 0.5 miles. Which of the following is the best conclusion from these data?

A.

It is not possible that any visitor hiked less than 3 miles.

B.

It is likely that all visitors hiked between 4 and 5 miles.

C.

It is likely that most visitors hiked exactly 4.5 miles.

D.

It is plausible that the mean distance hiked for all visitors is between 4 and 5 miles.