Question

Which of the following statements is not true regarding a 95% confidence interval for the mean of a population?
a. In 95% of all samples, the sample mean will fall within 2 standard errors of the true population mean.
b. If you add and subtract two standard errors to and from the sample mean, in 95% of all cases, you will have captured the true population mean.
c. In 95% of all samples, the true population mean will be within 2 standard errors of the sample mean.
d. 95% of the population values will lie within 2 standard errors of the sample mean.

Answer 1

Answer:

Hello There!!

Step-by-step explanation:

I believe the answer is b. If you add and subtract two standard errors to and from the sample mean, in 95% of all cases, you will have captured the true population mean.

hope this helps,have a great day!!

~Pinky~

Answer 2

The 95% confidence interval does not mean that b. If you add and subtract two standard errors to ... 95% of all cases,... captured the true population mean.

What is the 95% confidence interval for a population mean?

It means that for any given number of samples, 95% of them will fall within 2 standard errors of the true mean of the population the sample is derived from.

Applying this confidence interval to the sample mean will not help you capture the true population mean which is why option B is incorrect as regards the 95% confidence interval for the population mean.

In conclusion, option B is correct.

Find out more on the 95% confidence interval at https://brainly.com/question/3191358.