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Complete Hypothesis Testing Playlist - https://tinyurl.com/2bea2phz In this video, we further extend our hypothesis testing journey the two-sample t-test with independent samples. The video provides a comprehensive understanding of the assumptions underlying this statistical test, with a particular focus on the crucial assumption of homogeneity of variances. We explore how the homogeneity assumption plays a vital role in determining the appropriate statistical test to employ. We draw a clear distinction between the traditional t-test, which assumes equal variances between the populations, and Welch's test, which relaxes this assumption and is suitable for cases with unequal variances. To enhance your understanding, we walk you through a solved example that showcases the application of the two-sample t-test using both Excel and Python's SciPy library. You'll witness a step-by-step demonstration of calculating the test statistic and p-value, employing the ttest_ind function in Python, and utilizing Excel's built-in functionality. In addition, we highlight the importance of visualizing the results to gain meaningful insights. You'll learn how to interpret the test outputs and visually represent the differences between the two samples, aiding in effective result communication. Happy learning!