Suppose that you intend to find a 95% confidence interval for a population mean by applying the one-mean z-interval procedure to a sample of size 100.

a. What would happen to the accuracy of the estimate if you used a sample of size 50 instead but kept the same confidence level of 0.95?

b. What would happen to the accuracy of the estimate if you changed the confidence level to 0.90 but kept the same sample size of 100?

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