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What is the standard error of the sampling distribution

Records maintained by the office of budget in a particular state indicate that the amount of time elapsed between the submission of travel vouchers and the final reimbursement of funds has approximately a normal mean of 39 days and a population standard deviation of 12 days. A sample of 16 vouchers was pulled at random.

What is the standard error of the sampling distribution?
What is the probability that the sample mean will be less than 31 days for reimbursement?
What is the probability that the sample mean will indicate between 35 and 45 days for reimbursement?
What is the probability that the sample mean will indicate more than 46 days for reimbursement?

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