Length of a confidence interval. Which confidence interval would be shorter, a confidence interval computed using a sample size of 90 or a confidence interval computed using a sample size of 900? Assume that the confidence level is 95% for both confidence intervals and that the only difference between them is the sample size. Explain your reasoning.
Length of a confidence interval. Which confidence interval would be shorter, a confidence interval computed using a
Solution:
The length of a confidence interval is related to the sample size that is the number of observation in the sample.
For large sample size the confidence interval is shorter that is the confidence interval is narrower because large sample size gives more precise or closer estiamte of the true population parameter the confidence level stays the same. The Large sample size gives a shorter confidence interval and small sample size gives larger confidence interval.
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