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Solved: A random sample has been taken from a normal
Chapter 8, Problem 6E(choose chapter or problem)
A random sample has been taken from a normal distribution and the following confidence intervals constructed using the same data: (37.53, 49.87) and (35.59, 51.81)
(a) What is the value of the sample mean?
(b) One of these intervals is a 99% CI and the other is a 95% 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: (37.53, 49.87) and (35.59, 51.81)
(a) What is the value of the sample mean?
(b) One of these intervals is a 99% CI and the other is a 95% 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,