Question

A 95% confidence interval for a population mean is determined to be 100 to 120. If the sample size was incorrectly recorded as 10 instead of 100, the corrected interval (using sample size 100) for μ _____. a.should become narrower b.should become 10 to 20. c.should not change d.should become wider

Answer 1

a. should become narrower

Step-by-step explanation

We want to identify the correct option.

When a sample size is increased, it decreases the width of the confidence interval. This is because the standard error decreases with an increase in sample size.

Therefore, the corrected interval should become narrower.

The correct answer is option a.