Question: A sample of size n = 80 is drawn from a normal population whose standard deviation is = 6.8. The sample mean is x

A sample of size n = 80 is drawn from a normal population whose standard deviation is σ = 6.8. The sample mean is x̄ = 40.41.

a. Construct a 90% confidence interval for μ.

b. If the population were not approximately normal, would the confidence interval constructed in part

(a) be valid?

Explain.

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