Answer
If the data is roughly, but not perfectly normally distributed, then the confidence interval methods will not be influenced too much by the non-normality.
Yes, it satisfies.
Work Step by Step
If the data is roughly, but not perfectly normally distributed, then the confidence interval methods will not be influenced too much by the non-normality, hence the confidence methods are called robust against departures from normality. The given dotplot satisfies this requirement, because it is is roughly normally distributed and it contains more than 30 (here 40) dots.
