A commonly cited standard for one-way length (duration) of school bus rides for elementary school children is 30 minutes. A local government office in a rural area conducts a study to determine if elementary schoolers in their district have a longer average one-way commute time. If they determine that the average commute time of students in their district is significantly higher than the commonly cited standard they will invest in increasing the number of school buses to help shorten commute time. a) What would a Type 2 error mean in this context? The local government decides that the average commute time is 30 minutes. or The local government decides to invest in increasing the number of school buses, when the true average commute time is in fact 30 minutes. or The local government decides not to invest in increasing the number of school buses, when the true average commute time is in fact higher than 30 minutes. or The local government decides that the data do not provide sufficient evidence of an average commute time different than 30 minutes, when the true average commute time is in fact 30 minutes. b) What would a Type 1 error mean in this context? The local government decides that the average commute time is 30 minutes. or The local government decides to invest in increasing the number of school buses, when the true average commute time is in fact 30 minutes. or The local government decides not to invest in increasing the number of school buses, when the true average commute time is in fact higher than 30 minutes. or The local government decides that the data do not provide sufficient evidence of an average commute time different than 30 minutes, when the true average commute time is in fact 30 minutes.

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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A commonly cited standard for one-way length (duration) of school bus rides for elementary school children is 30 minutes.

A local government office in a rural area conducts a study to determine if elementary schoolers in their district have a longer average one-way commute time. If they determine that the average commute time of students in their district is significantly higher than the commonly cited standard they will invest in increasing the number of school buses to help shorten commute time.

a) What would a Type 2 error mean in this context?

The local government decides that the average commute time is 30 minutes.
or
The local government decides to invest in increasing the number of school buses, when the true average commute time is in fact 30 minutes.
or
The local government decides not to invest in increasing the number of school buses, when the true average commute time is in fact higher than 30 minutes.
or
The local government decides that the data do not provide sufficient evidence of an average commute time different than 30 minutes, when the true average commute time is in fact 30 minutes.

b) What would a Type 1 error mean in this context?

The local government decides that the average commute time is 30 minutes.
or
The local government decides to invest in increasing the number of school buses, when the true average commute time is in fact 30 minutes.
or
The local government decides not to invest in increasing the number of school buses, when the true average commute time is in fact higher than 30 minutes.
or
The local government decides that the data do not provide sufficient evidence of an average commute time different than 30 minutes, when the true average commute time is in fact 30 minutes.

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