Final answer:
The minimum exit door width typically follows building codes such as those set out by the IBC at 32 inches. However, the question seems to be relating to aerospace engineering and the design of aircraft exit doors to accommodate passenger height using normal distribution calculations.
Step-by-step explanation:
Minimum Exit Door Width
While the question about exit door minimum width doesn't provide specific building codes, it's commonly accepted that exit doors must meet certain safety standards to accommodate quick evacuation during emergencies. The International Building Code (IBC) specifies that doors must have a minimum width of 32 inches, but this can vary depending on the building type and occupancy. However, the question seems to be more related to an aerospace engineering problem rather than to building codes.
Calculating Mean Doorway Height
To calculate the mean doorway height to allow 95 percent of men to enter without bending, one would typically use a normal distribution and set the doorway height at a point where 95 percent of the population falls below that height. Given the population mean height of 69 inches and a standard deviation of 2.8 inches, the z-score for 95 percent in a standard normal distribution is approximately 1.645. This value would then be multiplied by the standard deviation and added to the mean to find the required doorway height. However, without the exact calculations, providing a specific height would be speculative.
Comparing Design Requirements
In the context of aerospace engineering, for the Boeing 757 accommodating 200 passengers with half being men, the design must consider passenger flow and safety regulations. The height for part (a) considers all men entering without bending, while part (b) considers the mean height of men possibly being taller than the mean height of 100 men for 95 percent of flights. From an engineering perspective, consideration for all passengers (part a) would ensure comfort and safety for everyone, making it more relevant.