Final answer:
The weight of each man is normally distributed with a mean of 172 pounds and a standard deviation of 29 pounds.
Step-by-step explanation:
To find the probability that 20 randomly selected men will have a sum weight greater than 3,600 pounds, we can use the properties of the normal distribution.
Since the weight of each man is normally distributed with a mean of 172 pounds and a standard deviation of 29 pounds, we know that the sum of the weights will also be normally distributed.
To calculate the probability, we need to convert the sum weight of 3,600 pounds to a z-score using the formula: z = (X - μ) / σ, where X is the sum weight, μ is the mean, and σ is the standard deviation.
Then, we can use a z-table or a calculator to find the probability associated with the z-score.