In: Statistics and Probability
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? |