If we were making inferences from a single sample,we would expect that there would be a ____ percent probability that the sample mean or proportion generated from our sample results would be within two standard errors of the true population mean.
A)68.26%
B)99.74%
C)97.5%
D)95.44%
E)98.00%

Question

Quizplus · Accepted Answer

Based on the normal distribution, we know that approximately 95.44% of sample means/proportions will be within two standard errors of the true population mean. This is because 2 standard errors (z-scores) on either side of the mean will encompass approximately 95% of the area under the normal distribution curve.

If We Were Making Inferences from a Single Sample,we Would