Suppose that the data are sampled from a normally distributed population. Using the empirical rule, what percentage of the data should we expect to be within interval one? Why can't we use Chebychev's inequality to get a useful estimate for the percentage of data expected within interval one?

Suppose that the data are sampled from a normally distributed population. Using the empirical rule, what percentage of the data should we expect to be within interval one? Why can't we use Chebychev's inequality to get a useful estimate for the percentage of data expected within interval one?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

Empirical Rule

c) Suppose that the data are sampled from a normally distributed population. Using the empirical rule, what percentage of the data should we expect to be within interval one?

d) Why can’t we use Chebychev’s inequality to get a useful estimate for the percentage of data expected within interval one?

e) Suppose the population is normally distributed. If the sample size is n = 200, then approximately HOW MANY of the observations should be within interval 2? Please show your work.

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