Find the critical value for a right-tailed F-test with $\alpha=0.05$, degrees of freedom in the numerator $=55$, and degrees
E Click the icon to view the partial table of critical values of the F-distribution.

The critical value is $F_{0.05,55,25}=\square$. (Round to two decimal places as needed.)

Step 1 ：Given that the significance level \(\alpha=0.05\), the degrees of freedom in the numerator \(dfn = 55\), and the degrees of freedom in the denominator \(dfd = 25\).

Step 2 ：We need to find the critical value for a right-tailed F-test. This is the value that we would compare our test statistic to in order to make a decision about the null hypothesis.

Step 3 ：The critical value can be calculated using the percentile point function (ppf) for the F-distribution, which is given by \(F_{1-\alpha, dfn, dfd}\).

Step 4 ：Substituting the given values, we get \(F_{1-0.05, 55, 25}\).

Step 5 ：Calculating the above expression, we get the critical value approximately equal to 1.83.

Step 6 ：Final Answer: The critical value is \(F_{0.05,55,25}=\boxed{1.83}\).