F-Distribution is used in hypothesis testing in which of the following situations?
(A) Influences about two population variances (B) Comparing more than two population means (C) Testing the significance of correlation coefficient (D) Interference about a population mean
Options:

Correct option is A

Explanation:
The F-distribution is used in hypothesis testing mainly for two key purposes:
· (A) Comparing population variances: It is used in F-test for equality of two population variances.
· (B) Comparing means across more than two groups: It is used in Analysis of Variance (ANOVA) to compare multiple population means.
Options (C) and (D) relate more to t-distributions or z-tests, not F-distributions.
Information Booster:
The F-distribution is positively skewed and used when comparing variances or analyzing variability between groups. It is defined only for positive values, as variances are non-negative. It arises as a ratio of two independent chi-squared distributions, each divided by its degrees of freedom.