Sample data, sample size, the confidence level, and the confidence interval You

Question

Sample data, sample size, the confidence level, and the confidence interval You are a member of a team studying the automobile industry. One phase of your investigation is to develop an interval estimate of the average distance that automobile-parts suppliers are located from Detroit. The population standard deviation sigma is unknown. You and your teammate work with the same sample. Your teammate chooses a larger confidence level than yours. Think about plotting both your interval estimate and your teammate's interval estimate on a number line and then comparing where they sit and their widths. Being as specific as you can, which of the following statements best describes where the intervals sit on the number line? Your teammate's interval is centered at a higher value than yours. They are centered at different values. They are centered at the same value. Your teammate's interval is centered at a lower value than yours. Being as specific as you can, which of the following statements best describes the widths of the two intervals? Your teammate's interval is wider than yours. Your teammate's interval is narrower than yours. They are the same width. They are not the same width.

Explanation / Answer

1.

You have the same sample so it has the same sample mean (center).

Hence,

OPTION C: They are centered at the same value. [ANSWER]

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2.

As he chose a larger confidence level, then that would be a wider interval,

OPTION A: Your teammate's interval is wider than yours. [ANSWER, A]

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