When testing for differences of means, the t-statistic t equals StartFraction Upper Y overbar Subscript m Baseline minus Upper Y overbar Subscript w Over SE left parenthesis Upper Y overbar Subscript m Baseline minus Upper Y overbar Subscript w right parenthesis EndFraction

, where SE left parenthesis Upper Y overbar Subscript m Baseline minus Upper Y overbar Subscript w Baseline right parenthesis equals StartRoot StartFraction s Subscript m Superscript 2 Over n Subscript m EndFraction plus StartFraction s Subscript w Superscript 2 Over n Subscript w EndFraction EndRoot

has:

A. a student t distribution if the population distribution of Y is not normal.

B. cannot be computed unless n Subscript m equals n Subscript w.

C. a normal distribution even in small samples.

D. a student t distribution if the population distribution of Y is normal.

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