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Question: A random sample of size 256 is drawn from a population whose distribution, mean, and standard deviation are all unknown. The summary statistics are x¯ = 1011 and s = 34.

a. Construct a 90% confidence interval for the population mean μ.

b. Construct a 99% confidence interval for the population mean μ.

c. Comment on why one interval is longer than the other.

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