Provide an Appropriate Response $95 \%$ Confidence Interval for the Population Standard Deviation

question 76

Multiple Choice

Provide an appropriate response.
-Construct a $95 \%$ confidence interval for the population standard deviation $\sigma$ of a random sample of 15 crates which have a mean weight of $165.2$ pounds and a standard deviation of $12.7$ pounds. Assume the population is normally distributed.

• A) \(( 9.3,20.0 )\)
• B) \(( 86.5,401.1 )\)
• C) \(( 2.6,5.6 )\)
• D) \(( 9.8,18.5 )\)

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Definitions:

Hammond Postulate

A principle stating that the transition state of a chemical reaction resembles the structure of the closest stable species: the reactants for endothermic steps and the products for exothermic steps.

Free Radical Chlorine

A highly reactive species of chlorine that carries an unpaired electron, often involved in radical reactions.

Methane

A simple hydrocarbon with the formula CH4, representing the simplest alkane and a primary component of natural gas.

Regiochemistry

The study of the principles guiding the direction or position that new bonds form in a molecule during a chemical reaction.