Final answer:
a. F0.05 with degrees of freedom 5 and 10 is 4.74.
b. F0.025 with degrees of freedom 20 and 15 is 2.57.
c. F0.01 with degrees of freedom 8 and 12 is 5.67.
d. F0.10 with degrees of freedom 10 and 20 is 2.20.
Step-by-step explanation:
The question revolves around the F distribution values from a statistical table. Specifically, we're looking at the critical values of the F distribution given certain degrees of freedom and significance levels. The F distribution is used in analyzing ratios of variances and often comes in handy during ANOVA (Analysis of Variance) tests and other similar statistical procedures.
a. F0.05 with degrees of freedom 5 and 10 is 4.74.
b. F0.025 with degrees of freedom 20 and 15 is 2.57.
c. F0.01 with degrees of freedom 8 and 12 is 5.67.
d. F0.10 with degrees of freedom 10 and 20 is 2.20.
These values are typically found in the appendix of statistical textbooks or can be calculated with software. These particular values would be used as critical values in hypothesis testing to determine if the variances between two populations are significantly different.