Six Sigma Green Belt Certification Practice Exam

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Which option describes a paired t test interference test?

  1. The difference in means is calculated from two samples with unknown, but assumed unequal, variances

  2. The difference in means is calculated from two samples with unknown, but assumed equal, variances

  3. The variances of two samples' data are compared for equality

  4. The difference in means is calculated from data collected in tandem from two samples

The correct answer is: The difference in means is calculated from data collected in tandem from two samples

The choice correctly identifies that a paired t-test assesses the difference in means derived from data that is collected in tandem from two samples. This statistical method is specifically designed for situations where there are two related samples, which allows for the comparison of their means while accounting for the paired nature of the data. In practical applications, a paired t-test might be used when measuring the same subjects before and after a treatment. For example, if you’re analyzing the impact of a new training program on employee performance, you might measure performance scores before and after the program for the same group of employees. The pairing of the data points is crucial because it controls for variations between subjects, allowing for a more accurate comparison of the means. The other options involve scenarios that are not applicable to the paired t-test. The first two choices suggest unpaired samples, which do not fit the context of paired data. The concept of comparing variances in the third option also does not align with the primary purpose of the paired t-test, which focuses on mean differences rather than variance comparison.

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