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Interpretation of the t-statistics in a t-test given a critical value. For example, while performing a t-test to compare two
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Answer #1

Now the decision rule in t test is if the test statistic > critical value then we reject null hypothesis . Otherwise fail to reject null hypothesis.

here test statistic = 3.56

Critical value = 3.1

Therefore test statistic > critical value

Therefore we reject the null hypothesis .

in t test

Null hypothesis Ho: All the difference are equal

Vs alternative hypothesis H1 : atleast one difference is different.

Here we reject the null hypothesis .

Therefore we conclude that the groups are different on the average .

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