Theoretically, if the assumption of equal variances is satisfied and the dependent variable is normally distributed you could run a t-test despite the unequal sample sizes between the two comparison groups.
![Test Test](https://www.researchgate.net/profile/Odongo_Kodongo/publication/256703533/figure/tbl3/AS:669695820705806@1536679334459/t-Test-two-sample-assuming-unequal-variances.png)
To perform a t-Test, execute the following steps.1. First, perform an to determine if the variances of the two populations are equal. This is not the case.2.
On the Data tab, in the Analysis group, click Data Analysis.Note: can't find the Data Analysis button? Click here to load the.3. Select t-Test: Two-Sample Assuming Unequal Variances and click OK.4. Click in the Variable 1 Range box and select the range A2:A7.5. Click in the Variable 2 Range box and select the range B2:B6.6. Click in the Hypothesized Mean Difference box and type 0 (H 0: μ 1 - μ 2 = 0).7. Click in the Output Range box and select cell E1.8.
Click OK.Result:Conclusion: We do a two-tail test (inequality). Lf t Stat t Critical two-tail, we reject the null hypothesis.
This is not the case, -2.365.
In, Welch's t-test, or unequal variances t-test, is a two-sample which is used to test the hypothesis that two have equal means. It is named for its creator, and is an adaptation of, and is more reliable when the two samples have unequal variances and/or unequal sample sizes.
These tests are often referred to as 'unpaired' or 'independent samples' t-tests, as they are typically applied when the statistical units underlying the two samples being compared are non-overlapping. Given that Welch's t-test has been less popular than Student's t-test and may be less familiar to readers, a more informative name is 'Welch's unequal variances t-test' — or 'unequal variances t-test' for brevity. ^ Welch, B. 'The generalization of 'Student's' problem when several different population variances are involved'. 34 (1–2): 28–35. ^ Ruxton, G. 'The unequal variance t-test is an underused alternative to Student's t-test and the Mann–Whitney U test'.
17: 688–690. ^ Derrick, B; Toher, D; White, P (2016). The Quantitative Methods for Psychology. 12 (1): 30–38. Welch, B. 'On the Comparison of Several Mean Values: An Alternative Approach'.
38: 330–336. Zimmerman, D. 'A note on preliminary tests of equality of variances'. 57: 173–181. Fagerland, M. Medical Research Methodology. 12: 78.
Fagerland, M. W.; Sandvik, L. 'Performance of five two-sample location tests for skewed distributions with unequal variances'. 30: 490–496. — official documentation for Minitab version 18. Accessed 2019-01-22.
— official documentation for Minitab version 18. Accessed 2019-01-22. Jeremy Miles , Unequal variances t-test or U Mann-Whitney test?, URL (version: 2014-04-11):. — Official documentation for SPSS Statistics version 24. Accessed 2019-01-22.