The test statistic for this procedure is using two sample T-test is 0.458.
Definition of Two Sample T-test
A variation of the Student's t-test used to determine if two sample means are substantially different is known as the two sample T-test (also known as Welch's t-test, Welch's adjusted T, or unequal variances t-test). The test's degrees of freedom have been changed, which generally boosts the test's power for samples with unequal variance.
T-Test Statistic for The Procedure
It is given that mean of the differences = 1.33
And, the standard deviation of the differences, standard error = 2.90
The test static formula is given as,
t = (estimate - hypothized value) / standard error
Here, t is the t- test statistic, and estimate is the mean of the differences.
Since it is given that all conditions are met, the hypothized value can be taken as 0
Substituting substituting estimate = 1.33 and standard error = 2.90 in the t-test statistic formula, we get,
t = (1.33-0)/2.90
or t = 0.458
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