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A test for comparing the means of two samples, or the mean of one sample (or even parameter estimates) with a specified value; also known as the "Student t-test" after the pseudonym of its inventor.
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Is a paired t-test correct for comparing two groups when there is a confounding variable?
Paired $t$-test is used when the exact items are treated before and after something special occurred on them. In your problem, you would like to examine the effect of age on eating patterns on the sam …