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Multi-part question: According to the Organization for Economic Co-Operation and Development (OECD), adults in the United...

Multi-part question: According to the Organization for Economic Co-Operation and Development (OECD), adults in the United States worked an average of 1,784 hours in 2007. Assume the population standard deviation is 383 hours and that a random sample of 70 U.S. adults was selected.

This is how the question came.

a. Calculate the standard error of the mean.
b. What is the probability that the sample mean will be more than 1,775 hours?
c. What is the probability that the sample mean will be between 1,740 and 1,820 hours?
d. Would a sample mean of 1,805 hours support the claim made by the OECD? Explain?

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