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Question 01: An economist wishes to estimate the average family income in a certain population. The population standard deviation is known to be $4,500, and

Question 01: An economist wishes to estimate the average family income in a certain population. The population standard deviation is known to be $4,500, and the economist uses a random sample of size n = 75.

a) What is the probability that the sample mean will fall within $800 of the population mean?

b) Given know we know that the population mean is $9,000. What is the probability that the sample mean will be at least $12,600?

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