Answer: 27.6 and 48.4
Work Shown
mu - 2*sigma = 38-2*5.2 = 27.6
mu + 2*sigma = 38+2*5.2 = 48.4
Step-by-step explanation
According to the Empirical Rule, about 95% of the normally distributed data is within 2 standard deviations of the mean. We subtract 2sigma from the mean mu to get the lower bound. That gets us 27.6 as shown above. The upper bound is calculated with the formula: mu + 2*sigma. Doing so will get us 48.4 as shown above.
Refer to the chart below. This chart should go into your notes or something you memorize.