Question: Suppose that the large international corporation wants to assess whether the mean, \(\mu \), of all one-day travel expenses in Moscow exceeds $500 provided that the standard deviation is known to be $41. The mean of a random sample of 35 one-day travel expenses is $535.

a) Assuming that m equals $500 and the sample size is 35, what is the probability of observing a sample mean that is greater than or equal to $538?

b) Based on your answer in (a), do you think that the mean of all one-day travel expenses in Moscow exceeds $500? Explain.