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The Practice of Statistics for AP
Found in: Page 592
The Practice of Statistics for AP

The Practice of Statistics for AP

Book edition 4th
Author(s) David Moore,Daren Starnes,Dan Yates
Pages 809 pages
ISBN 9781319113339

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Short Answer

The reason we use t procedures instead of z procedures when carrying out a test about a population mean is that

(a) z can be used only for large samples.

(b)z requires that you know the population standard deviation σ.

(c) z requires you to regard your data as an SRS from the population.

(d) z applies only if the population distribution is perfectly Normal.

(e) z can be used only for confidence intervals.

The reason we use t procedures instead of z procedures when carrying out a test about a population mean is that (c) z requires you to regard your data as an SRS from the population.

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Step by Step Solution

TABLE OF CONTENTS :
TABLE OF CONTENTS

Step-1 Given Information

Given in the question that The reason we use t procedures instead of z procedures when carrying out a test about a population mean is that we have to fin out taht which option is correct.

Step-2 Explanation

There are two tests ztest and t test. The reason of using the t procedures instead of z test is required to discuss here.

z-test and t-test are defined as statistical procedures that are used to determine whether the sample mean differs from the population mean or not. It must be noted that z-test is preferred to use when the standard deviation of the population is given, and t-test is used the standard deviation of the population is not given.

The correct option is (c).

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