Forindependentrandomsamplesofsizes n1 and n2 from normalpopulationswithcommon variance 2, using Section 4.4.6 and thedefinitionofthe F distribution in Section

Forindependentrandomsamplesofsizes n1 and n2 from normalpopulationswithcommon variance σ2, using Section 4.4.6 and thedefinitionofthe F distribution in Section 6.4.1, explain why S2 1 ~S2 2 has an F distribution with df 1 = n1 − 1 and df 2 = n2 − 1.