10. 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 σ is unknown. You and your teammate work with the same sample. Your teammate chooses a smaller 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 lower value than yours. They are centered at the same value. Your teammate’s interval is centered at a higher value than yours. They are centered at different values. Being as specific as you can, which of the following statements best describes the widths of the two intervals? They are the same width. Your teammate’s interval is narrower than yours. Your teammate’s interval is wider than yours. They are not the same width.
10. 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 σ is unknown. You and your teammate work with the same sample. Your teammate chooses a smaller 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 lower value than yours. They are centered at the same value. Your teammate’s interval is centered at a higher value than yours. They are centered at different values. Being as specific as you can, which of the following statements best describes the widths of the two intervals? They are the same width. Your teammate’s interval is narrower than yours. Your teammate’s interval is wider than yours. They are not the same width.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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10. 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 σ is unknown.
You and your teammate work with the same sample. Your teammate chooses a smaller 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 lower value than yours.
They are centered at the same value.
Your teammate’s interval is centered at a higher value than yours.
They are centered at different values.
Being as specific as you can, which of the following statements best describes the widths of the two intervals?
They are the same width.
Your teammate’s interval is narrower than yours.
Your teammate’s interval is wider than yours.
They are not the same width.
Expert Solution
Step 1
Given that the team is studying the automobile industry.
One phase of the investigation is to develop an interval estimate of the average distance that automobile parts suppliers are located from Detroit.
The population standard deviation is unknown.
The sample taken by both my and teammate is the same.
But the confidence level chosen by the teammate is smaller than mine.
The confidence interval for the population mean with unknown population standard deviation is as follows.
is the sample mean.
is the sample standard deviation.
is the sample size
is a critical value
is the level of significance.
The confidence interval for the population mean is entered around the sample mean.
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