As confidence level increases, what happens to the width of the two-sided confid
ID: 3223876 • Letter: A
Question
As confidence level increases, what happens to the width of the two-sided confidence interval? (becomes greater/becomes smaller) As sample size increases, what happens to the width of the two-sided confidence interval? (becomes greater/becomes smaller) This question has two parts: a. What do we hope to capture in a 95% confidence region over the long run? b. What do we mean by the term long run? Suppose the 95% confidence interval for the mean of a population is [10, 55]. Test the null hypothesis H_0: mu = 12 versus the alternative H_0: mu notequalto 12 at the .05 level of significance. Explain how to obtain t* and t** in the formula for a 95% confidence region.Explanation / Answer
As confidence level increases the width of the 2-sided confidence interval becomes Greater
As Sample Size increases the width of a confidence interval Smaller (because it decreases the standard error)
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