A study is conducted to estimate the average weight of a certain type of fruit grown on a farm. A random sample of fruit is weighed, and the sample mean weight is found to be grams, with an associated margin of error of grams. Based on this estimate and margin of error, which of the following is the most appropriate conclusion about the mean weight of this type of fruit from the farm?
The mean weight is exactly grams.
It is plausible that the mean weight is less than grams.
It is plausible that the mean weight is between and grams.
It is plausible that the mean weight is greater than grams.