The correct answer is Choice 2: 63.7 to 183.1
A 99.7% confidence interval translates to the area within 3 standard deviations of the mean. We know the standard deviation is 19.9. Now, just multiply that by 3 and you have 59.7.
Add and subtract that from the mean to find the interval.
123.4 + 59.7 = 183.1
123.4 - 59.7 = 63.7