Question

True or false. If all other factors are held constant, a confidence interval computed from a sample of n = 25 is wider than a confidence interval computed from a sample of n = 100.

Answer 1

True. A confidence interval computed from a sample of n = 25 is wider than a confidence interval computed from a sample of n = 100.

Step-by-step explanation:

True. When all other factors are held constant, a confidence interval computed from a sample of n = 25 is wider than a confidence interval computed from a sample of n = 100.

The width of a confidence interval is determined by the sample size, level of confidence, and the variability in the data. A larger sample size leads to less variability and a smaller standard error, resulting in a narrower confidence interval.

For example, if we compare two confidence intervals with a 95% confidence level, the interval computed from a sample of n=100 will be narrower than the interval computed from a sample of n=25, as the larger sample size makes the estimate more precise.