Step 1 :The question is asking for the values that are two standard deviations from the mean. Given that the mean is 55 minutes and the standard deviation is 5 minutes, we can calculate these values by adding and subtracting two standard deviations from the mean.
Step 2 :The leftmost box will be the mean minus two standard deviations and the rightmost box will be the mean plus two standard deviations.
Step 3 :Let's calculate these values.
Step 4 :mean = 55
Step 5 :std_dev = 5
Step 6 :leftmost_box = mean - 2*std_dev = 55 - 2*5 = 45
Step 7 :rightmost_box = mean + 2*std_dev = 55 + 2*5 = 65
Step 8 :Final Answer: The leftmost box value is \( \boxed{45} \) and the rightmost box value is \( \boxed{65} \).