Final answer:
The minimum and maximum amount of elapsed time for the monthly check is 0 to 26.0 minutes.
Step-by-step explanation:
The minimum amount of elapsed time for the monthly check can be determined by finding the 5th percentile of the sample mean excess time. Since the 95th percentile is approximately 26.0 minutes, the minimum amount will be less than or equal to 26.0 minutes.
Similarly, the maximum amount of elapsed time can be determined by finding the 95th percentile, which is 26.0 minutes. Therefore, the minimum and maximum amount of elapsed time for the monthly check is 0 to 26.0 minutes.