Question
If $S_{1}^{2}$ and $S_{2}^{2}$ are the variances of independent random samples of sizes $n_{1}=10$ and $n_{2}=15$ from normal populations with equal variances, find $P\left(S_{1}^{2} / S_{2}^{2}<4.03\right)$.
Step 1
Specifically, the ratio has an F-distribution with degrees of freedom $n_1 - 1 = 9$ and $n_2 - 1 = 14$. Show more…
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