The test static used for this procedure is Aspin Welch's t-test.
What is Aspin Welch's T-test?
A variation of the Student's t-test used to determine if two sample means are substantially different is known as the Aspin Welch's T - test for Unequal Variances (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.
The means being equal is the test's null hypothesis.The notion that the means are not equal serves as the test's alternate hypothesis.Formula for Aspin Welch's T - test
The t-statistic in Aspin Welch's T-test is given as,
t = [tex]\frac{X' - X}{\sqrt{\frac{S1^{2} }{N1^{2} } -\frac{S2^{2} }{N2^{2} } } }[/tex]
Here, X' is the mean of the sample
X is the mean of the population
S1 and S2 are the respective standard deviations for the two samples
N1 and N2 are the respective strength of samples.
Calculating t-statistic for Aspin Welch's T-test
Given that,
X'-X = 1.33
[tex]\sqrt{\frac{S1^{2} }{N1^{2} } -\frac{S2^{2} }{N2^{2} } } = 2.90[/tex]
∴ t = 1.33/2.90
t=0.458
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