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Problem: The amount of purchase (in USD) in a weekend farmer's market is normally distributed with mean 2400 and variance 2500. Sam collects data on amounts of purchase in that market for 16 randomly selected weekends. Katie collects data on amount of purchase in that market for 20 randomly chosen weekends. The average amount of purchase per weekend from Katie's sample is 2437.5 USD.
The mean and standard deviation of the average amount of purchase per weekend from Sam's sample are

problem: mean?
problem: standard deviation?
problem: The probability that average amount of purchase per weekend from Sam's sample is greater than average amount of purchase per weekend from Katie's sample?

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