Final answer:
The correct statement regarding the F-test is B) The F-test is suitable for comparing variances of two samples. The F-test for two variances requires that the sample populations are normally distributed and independent, and it is sensitive to deviations from normality.
Step-by-step explanation:
If another chemist performed the aspirin analysis, they may have a slightly different result. The statement that is true regarding the F-test is B) The F-test is suitable for comparing variances of two samples. An F test of two variances is used when it is important to compare variances rather than averages. This is relevant in many fields, like ensuring consistency in academic grading or manufacturing processes.
To perform an F-test of two variances, two critical assumptions must be met: the populations from which the samples are drawn must be normally distributed, and the two populations must be independent of each other. It should be noted that the F-test for equality of two variances is very sensitive to deviations from normality, which can affect the reliability of the test results.
Additionally, the independent samples t-test is used for comparing two independent means, whereas the one-way ANOVA (which also utilizes the F distribution) is used for testing whether the means of three or more populations are equal, assuming normal distribution and equal standard deviations among populations.