1

Two Sample Means Test

¾ Used when the objective is to compare two samples

¾ You are testing whether there is a significant difference between two samples

¾ If the sample differences are significant, then statistical inference allows the researcher

to conclude that the samples are drawn from different populations.

1. Hypotheses

*HQHUDOIRUP«

H0: No significant difference between the mean of sample 1 and the mean of sample 2.

Therefore, the samples are drawn from the same population.

HA: There is a significant difference between the mean of sample 1 and the mean of

sample 2. Therefore, the samples are drawn from different populations.

2. Critical Value

Use the t distribution,

3. Test Statistic

Use the t test.

Two forms of this test arise:

(a) Variances are equal

(b) Variances are unequal

*HQHUDOIRUP«

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