We would expect ________ percent of sample means will lay within ± 3 standard errors of the mean when the process is in control.
A)68.3
B)95.4
C)99.7
D)100

Question

Quizplus · Accepted Answer

According to the empirical rule (or the 68-95-99.7 rule) for a normal distribution, 99.7% of the data falls within ± 3 standard deviations of the mean. When considering sample means and the concept of standard errors, this rule implies that 99.7% of sample means will lie within ± 3 standard errors of the population mean if the process is in control and the distribution of the sample means is approximately normal.

We Would Expect ________ Percent of Sample Means Will Lay