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Expert-verified Found in: Page 592 ### The Practice of Statistics for AP

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

See the 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). ### Want to see more solutions like these? 