A botanist measured the height of a random sample of 50 plants of a certain species. The mean height was estimated to be 12.5 centimeters, with an associated margin of error of 0.3 centimeters. Which of the following is a plausible statement about the mean height of all plants of this species?
It is less than 12.2 centimeters.
It is greater than 12.8 centimeters.
It is between 12.2 centimeters and 12.8 centimeters.
It is exactly 12.5 centimeters.