The Statistic (N − 1)s² / σ² Has a Chi-Squared

question 81

Multiple Choice

The statistic (n − 1) s² / σ² has a chi-squared distribution with n − 1 degrees of freedom if:

• A)the sample has a Student t-distribution with degrees of freedom equal to n − 1.
• B)the sample is normally distributed with variance equal to s².
• C)the population is normally distributed with variance equal to σ².
• D)All of these choices are true.

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Definitions:

Carboxyl Group

A functional group consisting of a carbon atom double-bonded to an oxygen atom and single-bonded to a hydroxyl group, denoted as -COOH in organic compounds.

Prostaglandins

A group of physiologically active lipid compounds having diverse hormone-like effects in animals, derived enzymatically from fatty acids.

Arachadonic Acid

A polyunsaturated omega-6 fatty acid important in the inflammation process and cellular signalling.

Chair Conformation

A stable, puckered conformation of six-membered rings that minimizes torsional strain.