A 95% confidence interval infers that the population mean
A) is between 0 and 100%
B) is within $\pm$1.96 standard deviations of the sample mean
C) is within $\pm$1.96 standard errors of the sample mean
D) is too large

Question

A 95% confidence interval infers that the population mean
A) is between 0 and 100%
B) is within  $\pm$1.96 standard deviations of the sample mean
C) is within  $\pm$1.96 standard errors of the sample mean
D) is too large

Quizplus · Accepted Answer

A 95% confidence interval means that we are 95% confident that the true population mean lies within the range calculated from the sample mean and standard error. Therefore, the correct answer is that the population mean is within F1F1F1S1F1F1F101.96 standard errors of the sample mean. Choice A is incorrect as it gives an overly broad range, while choice B is incorrect as it uses the standard deviation instead of the standard error. Choice D is irrelevant and does not answer the question.

A 95% Confidence Interval Infers That the Population Mean A) ±\pm±

A 95% Confidence Interval Infers That the Population Mean
A) $\pm$