Question 37 of 40
Suppose the commute times for employees of a large company follow a normal distribution. If the mean time is 22 minutes and the standard deviation is 5 minutes, $95 \%$ of the employees will have a travel time within which range?
A. 17.25 minutes to 26.75 minutes
B. 7 minutes to 37 minutes
C. 12 minutes to 32 minutes
D. 17 minutes to 27 minutes

Step 1 ：The problem is asking for the range of commute times for 95% of the employees. In a normal distribution, 95% of the data falls within 2 standard deviations of the mean. So, we need to calculate the range by subtracting and adding 2 standard deviations from the mean.

Step 2 ：Given that the mean is 22 minutes and the standard deviation is 5 minutes, we can calculate the lower and upper bounds of the range.

Step 3 ：The lower bound is calculated by subtracting 2 standard deviations from the mean: \(22 - 2 \times 5 = 12\) minutes.

Step 4 ：The upper bound is calculated by adding 2 standard deviations to the mean: \(22 + 2 \times 5 = 32\) minutes.

Step 5 ：Final Answer: The range of commute times for 95% of the employees is from 12 minutes to 32 minutes. So, the correct answer is \(\boxed{12 \text{ minutes to } 32 \text{ minutes}}\).