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Assume a very large normally distributed population of scores on a test with mean 77 and standard deviation 7.

a. Find the two sided interval that includes 90% of this population

b. Suppose a sample of 40 members is randomly selected from this population. Find an interval (two sided) that provides a 5% error in the estimation of this sample.

c. What is this interval for a random sample of 300 members?

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