Construct a Truth Table for the Statement $\sim((w \wedge t) \vee q)$

question 198

Multiple Choice

Construct a truth table for the statement.
- $\sim((w \wedge t) \vee q)$

• A)
• \(\begin{array}{ccccc}
• \mathrm{w} & \mathrm{t} & \mathrm{q} & \sim((\mathrm{w} \wedge \mathrm{t}) \vee \mathrm{q}) \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{F} & \mathrm{T} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{T} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{T}
• \end{array}\)
• B)
• \(\begin{array}{cccc}
• \mathrm{w} & \mathrm{t} & \mathrm{q} & \sim((\mathrm{w} \wedge \mathrm{t}) \vee \mathrm{q}) \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{F} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{T} \\
• \mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{F}
• \end{array}\)

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Definitions:

Pooled Variance

Pooled variance is a method used to estimate the variance of two or more groups by combining their variances, assuming they have the same variance but not necessarily the same mean.

Degrees Of Freedom

The number of independent values or quantities which can vary in an analysis without breaking any constraints.

Mean Score

A mean score represents the average outcome derived from a set of scores, reflecting the central tendency of the data.

Independent Means

Describes a statistical method used to compare the means of two groups that are not related or interconnected.