Use the Given Degree of Confidence and Sample Data to Find

question 123

Multiple Choice

Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation σ.
Assume that the population has a normal distribution. Round the confidence interval limits to one more decimal place
than is used for the original set of data.
-The amounts (in ounces) of juice in eight randomly selected juice bottles are: $\begin{array} { l l l l } 15.2 & 15.1 & 15.9 & 15.5 \end{array}$
$\begin{array} { l l l l l } 15.6 & 15.1 & 15.8 & 15.0 \end{array}$
Find a $98 \%$ confidence interval for the population standard deviation $\sigma$ .

• A) \(0.21 \mathrm { oz } < \sigma < 0.71 \mathrm { oz }\)
• B) \(0.20 \mathrm { oz } < \sigma < 0.71 \mathrm { oz }\)
• C) \(0.21 \mathrm { oz } < \sigma < 0.82 \mathrm { oz }\)
• D) \(0.22 \mathrm { oz } < \sigma < 0.86 \mathrm { oz }\)

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Definitions:

Reasonable Basis

A standard which requires that claims, especially in law and finance, must have a foundation that is logically sound and justifiable.

Generalities

Statements or ideas that are broad and unspecific, lacking in detailed explanation or specificity.

Exaggerations

Statements that stretch the truth or overstate facts.

Truth in Lending Act

A federal law designed to promote informed use of consumer credit by requiring disclosures about terms and costs.