What is the role of sample size in the calculation of confidence intervals?

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What is a t statistic and what is a t statistic used for?
What is the role of sample size in the calculation of confidence intervals?
We learned that we can increase the precision of a confidence interval by increasing the sample size. Discuss the concept of an ideal sample size. Is there an ideal or optimal sample size? If yes, what is it and how to calculate it? If not, why not?
Discuss the type of situation in which we would want a 95% confidence interval. When would we want a 99% confidence interval?