Which of the following is true of calculating confidence intervals for larger samples?
A) For larger samples, the t-distribution is indistinguishable from the standard normal distribution.
B) For larger samples, both the t-distribution and the standard normal distribution require standard deviation values to be calculated.
C) For larger samples, the degrees of freedom cannot be calculated accurately.
D) For larger samples, only z-values provide a true sampling distribution of the mean.

Question

Quizplus · Accepted Answer

For larger samples (typically n > 30), the t-distribution approaches the standard normal distribution due to the central limit theorem, making them virtually indistinguishable. This is why z-scores (from the standard normal distribution) are often used for large sample sizes.

Which of the Following Is True of Calculating Confidence Intervals