BASIC PRAC OF STATISTICS+LAUNCHPAD+REE
BASIC PRAC OF STATISTICS+LAUNCHPAD+REE
8th Edition
ISBN: 9781319123680
Author: Moore
Publisher: MAC HIGHER
Question
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Chapter 20, Problem 20.15CYS
To determine

To find: The reason for prefer the t procedure to the z procedure for inference about population mean.

Expert Solution & Answer
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Answer to Problem 20.15CYS

Option (b)

Explanation of Solution

Reason for the correct option:

Prefer the t procedures to the z procedures for inference about a population mean because z procedures require that the population standard deviation is known but the t procedures are not required.

Reason for the incorrect answer:

For both test procedures, the data or observations considered as simple random sample from the population and the observations are from a normal population. Therefore,

Option (a) and Option (c) are incorrect.

Therefore, the correct option is (b), “z requires that you know the population standard deviation σ , while t does not”.

Statistics Concept Introduction

Introduction:

Conditions for inference about a one-sample t test:

  • Simple random sample from the population.
  • Observations are from a normal population.

Conditions for inference about a one-sample z test:

  • Simple random sample from the population.
  • Observations are from a normal population.
  • Population standard deviation is known.

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