It is likely that all visitors hiked between and miles.
It is likely that most visitors hiked exactly miles.
It is not possible that any visitor hiked less than miles.
It is plausible that the mean distance hiked for all visitors is between and miles.
Explanation
Correct answer: D.
Choice D is correct. The given estimated mean has an associated margin of error because from sample data, the population mean can't be determined precisely. Rather, from the sample mean, an interval can be determined within which it's plausible that the population's mean is likely to lie. Since the estimated mean is miles with an associated margin of error of miles, it follows that between miles and miles, or between and miles, is plausibly the mean distance hiked for all visitors.
Desmos solution:
Note: The interval estimates the population mean, not the distance each individual visitor hiked.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. Based on the estimated mean, no determination can be made about the number of miles hiked for all visitors to the park.
Choice B
Choice B is incorrect. Based on the estimated mean, no determination can be made about the number of miles hiked for all visitors to the park.
Choice C
Choice C is incorrect. Based on the estimated mean, no determination can be made about the number of miles hiked for all visitors to the park.