We calculate a confidence interval. Then we gather additional data and find a new confidence interval. What happens to the margin of error if the sample size increased but the standard deviation and confidence stay the same? Explain your reasoning. If the sample size is increase

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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We calculate a confidence interval. Then we gather
additional data and find a new confidence interval.
What happens to the margin of error if the sample size is
increased but the standard deviation and confidence level
stay the same? Explain your reasoning.
If the sample size is increase
Suppose, after looking at some sample data, we find
(30,34) for our 95% confidence interval estimate for a
population mean µ.
For this set of data, the point estimate, î, was
The margin of error in this confidence interval is
Transcribed Image Text:We calculate a confidence interval. Then we gather additional data and find a new confidence interval. What happens to the margin of error if the sample size is increased but the standard deviation and confidence level stay the same? Explain your reasoning. If the sample size is increase Suppose, after looking at some sample data, we find (30,34) for our 95% confidence interval estimate for a population mean µ. For this set of data, the point estimate, î, was The margin of error in this confidence interval is
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