Question

A 95% confidence interval was computed around a sample mean of 10. The resulting confidence interval is (5, 11). Does this appear to be a valid confidence interval

Answer 1

Answer: No

Explanation:

• A confidence interval gives the range of values in which the true population parameter lies.

It is computed by considering sample mean in the center.

But here 10 does not lie in the center of (5, 11), as distance between 10 and 5 = 5 units but distance between 10 and 11 = 1 unit

2 different margin of errors cannot be possible.

Hence, the given confidence interval is not valid.