I'm pretty new to Hypothesis Testing and I've come across a question I'm not sure of and was hoping someone could explain it.

Suppose we wish to test H0: µ = 15 , HA: µ ≠15. Which of the following possible sample results give the most evidence to support HA?

And the options are...

Sample mean = 19, sample standard deviation = 2

Sample mean = 12, sample standard deviation = 3

Sample mean = 17, sample standard deviation = 2

Sample mean = 13, sample standard deviation = 4

Sample mean = 11, sample standard deviation = 8

When I was researching this I found notes that stated if the sample statistic is far enough away from the hypothesised value then we can conclude that the Null Hypothesis is most likely false. So I was thinking the option with Sample Mean = 11 and sample standard deviation = 8 would be the best answer. However, I'm wondering if there is another theory behind it and I need to take the standard deviation into account.

Any help/advice is appreciated.

Thanks