The interval within which 95 percent of all possible sample estimates will fall by chance is defined as ______.
A) lower confidence boundary
B) upper confidence boundary
C) the sample mean ±1.96 standard errors
D) the central limit theorem

Question

Quizplus · Accepted Answer

The interval within which 95 percent of all possible sample estimates will fall by chance is defined as the sample mean ±1.96 standard errors, also known as the 95% confidence interval. This means that if we repeatedly sample from the population and calculate the mean, 95% of the time we will find the true population mean within this interval. Choices A and B are not correct, as they refer to specific boundaries rather than the range of all possible estimates. The central limit theorem is a mathematical concept that explains why the distribution of sample means tends to be normal, but it does not directly relate to confidence intervals.

The Interval Within Which 95 Percent of All Possible Sample