13. A random sample has been taken from a normal distribution and the following confidence intervals are 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% and why?

13. A random sample has been taken from a normal distribution and the following confidence intervals are 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% and why?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.

Question

13. A random sample has been taken from a normal distribution and the following
confidence intervals are 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% and
why?

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