(a) True or False, and briefly explain: For a given data set, a 95% confidence interval is longer thana 90% interval.(b) In this course we have considered confidence intervals for an unknown parameter, 0, to be of theform:Ô + (CF)SE(@), CF= confidence factor.True or False, and briefly explain: The endpoints of these confidence intervals are random vari-ables.(c) A real estate office conducts a survey in a certain town to determine how far the head of householdhas to commute to work. A random sample of 1000 households is chosen and it is found that onaverage the heads of the sample households commuted 8.7 miles to work; the sample SD of thedistances was 9.0 miles. All distances are one-way; if someone isn't working the commute distanceis defined to be 0. Someone determines the following confidence interval: 8.7±2(-). Can youexplain what the interval is for or do you need more information to answer the question?

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True or False, and briefly explain: For a given data set, a 95% confidence int a 90% interval. unknoun paran

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

(a) True or False, and briefly explain: For a given data set, a 95% confidence interval is longer than
a 90% interval.
(b) In this course we have considered confidence intervals for an unknown parameter, 0, to be of the
form:
Ô + (CF)SE(@), CF= confidence factor.
True or False, and briefly explain: The endpoints of these confidence intervals are random vari-
ables.
(c) A real estate office conducts a survey in a certain town to determine how far the head of household
has to commute to work. A random sample of 1000 households is chosen and it is found that on
average the heads of the sample households commuted 8.7 miles to work; the sample SD of the
distances was 9.0 miles. All distances are one-way; if someone isn't working the commute distance
is defined to be 0. Someone determines the following confidence interval: 8.7±2(-). Can you
explain what the interval is for or do you need more information to answer the question?

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