Suppose you have found a statistical evidence to reject the hypothesis that the population mean is equal to 20. It is possible that the true value of the mean may still be close to 20? Please explain

Question

anonymous · Answer

Well, say you have a very large data set that includes most values centered around a close interval, for example, 5,000 numbers ranging from 19 to 21.  Say you find some statistical evidence that suggests other values should be included in the population, though being outliers with values of 1 and 99.    Even though those numbers could appear to significantly affect the mean because they differ greatly from the other 5,000 values, it is unlikely they would significantly affect the mean because of the quantity of values included that are close to 20.

anonymous · Answer

That is my only approach to this problem; hope it helps!

anonymous · Answer

thank you very much :D