The Statistic Is Chi-Squared Distributed with N-1 Degrees of Freedom

question 35

Multiple Choice

The statistic is chi-squared distributed with n-1 degrees of freedom only if:

• A) the population is normally distributed with variance equal to
• B) the sample is normally distributed with variance equal to
• C) the sample has a Student t distribution with degrees of freedom equal to n-1
• D) all of these
• E) none of these

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Definitions:

Standard Deviation

An analytical tool that assesses the level of diversity or deviation of data points from their central value.

Standard Deviations

A measure of the amount of variation or dispersion of a set of values, indicating how much the values in a dataset deviate from the mean.

Normal Distribution

A statistical distribution that is symmetrically shaped around its mean, depicting how probabilities are spread over different events or values.

Bell-shaped Distribution

A graphical representation of data where the peak of the curve represents the most common occurrence, tapering off symmetrically on both sides, typical of a normal distribution.