Short Answer

What is meant by the term $“ 90 %$ confident” when constructing a confidence interval for a mean?
a. If we took repeated samples, approximately $90 %$ of the samples would produce the same confidence interval.
b. If we took repeated samples, approximately $90 %$ of the confidence intervals calculated from those samples would
contain the sample mean.
c. If we took repeated samples, approximately $90 %$ of the confidence intervals calculated from those samples would
contain the true value of the population mean.
d. If we took repeated samples, the sample mean would equal the population mean in approximately $90 %$ of the samples.

From all we get the answer is (C) which in $90 %$ confident .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Given

The term $90 %$ confident ?

Step 2: Explanation

When creating a confidence interval for a mean, the term " $90 %$ confident" refers to the supposedly oberserved confidence intervals that hold the true value.

Part c is the answer: if we took repeated samples, nearly $90 %$ of the confidence intervals computed from those samples would contain the population mean's true value.

Step 3: Result

Part c is the correct .

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