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A 95% confidence interval for the mean price of textbooks at UCLA in the spring

ID: 3155199 • Letter: A

Question

A 95% confidence interval for the mean price of textbooks at UCLA in the spring quarter of 2010, based on a random sample taken by statistician David Diez, was ($58.30,$86.14). To obtain this interval, he multiplied the standard error by 2.04, which was the value of t*. What would have been the effect if he had multiplied the standard error by 1.70 instead? Choose the best answer. (a) The confidence interval would have been wider. (b) The confidence interval would have been narrower. (c) The confidence level would have been higher. (d) The confidence level would have been lower. (e) Answers a and c are both correct. (f) Answers b and d are both correct.

Explanation / Answer

The t critical valu eof 1.70 corresponds to 90% c.i. thus, confidence level will be lower with confidence interval narrower.

Ans: f)

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