Q.99 The reason we use t聽procedures ... [FREE SOLUTION]

91影视

The Practice of Statistics for AP

David Moore,Daren Starnes,Dan Yates

$Math Studyset 91影视 Explanations$ Math

4th Edition 路 809 pages

ISBN: 9781319113339

Chapter 9: Q.99 (page 592)

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 $蟽$ .
(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.

Short Answer

Expert verified

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.

Step by step solution

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 $z$ test 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).