As the Number of Degrees of Freedom for a T-Distribution

question 21

Multiple Choice

As the number of degrees of freedom for a t-distribution increases:

• A)the dispersion of the distribution decreases.
• B)the shape of the distribution becomes narrower and taller.
• C)the t-distribution becomes more and more similar to the standard normal distribution.
• D)All of these choices are correct.

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Definitions:

Critical Number

A critical number is a value on the domain of a function where the function's derivative is zero or undefined, important in finding function maximums and minimums.

Randomized Block Design

A statistical experiment design that aims to reduce the effects of confounding variables by grouping similar experimental units into blocks before randomly applying treatments within each block.

Tukey's Method

A statistical technique for identifying outliers in data, comparing the spread of the data with the interquartile range (IQR) to find values that stand out excessively.

Ranked Means

This involves ordering sets of data points or groups from lowest to highest and comparing the mean values of these ranks to analyze differences or trends.