Question: A random sample of size n is drawn from a population whose population standard deviation, σ, is known to be 3.8. The sample mean, x , is determined to be 59.2.

1. Compute the 90% confidence interval about µ if the sample size, n , is 45.
2. Compute the 90% confidence interval about µ if the same size, n , is 55. How does increasing the sample size affect the margin of error, E?

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