Solution Found!
A random sample has been taken from a normal distribution
Chapter 8, Problem 5E(choose chapter or problem)
A random sample has been taken from a normal distribution and the following confidence intervals constructed using the same data: (38.02, 61.98) and (39.95, 60.05)
(a) What is the value of the sample mean?
(b) One of these intervals is a 95% CI and the other is a 90% CI. Which one is the 95% CI and why?
Questions & Answers
QUESTION:
A random sample has been taken from a normal distribution and the following confidence intervals constructed using the same data: (38.02, 61.98) and (39.95, 60.05)
(a) What is the value of the sample mean?
(b) One of these intervals is a 95% CI and the other is a 90% CI. Which one is the 95% CI and why?
ANSWER:
Step 1 of 4
For a sample mean, , of a random sample of size n from a normal population with known variance , a Confidence Interval on is given by,