To find the test statistic for this F-test, we'll use the following formula:

\[
F = \frac{s_1^2}{s_2^2}
\]

where:

- \( s_1^2 \) is the variance of the firstborn group
- \( s_2^2 \) is the variance of the secondborn group

We first need to calculate the sample variances for both groups, and then compute the F-statistic.

I'll calculate that now.The test statistic for the F-test is approximately **1.27**.

Would you like to proceed with interpreting the result or have any other questions?

Here are some related questions you might consider:
1. How do we compare the test statistic to the critical value?
2. What conclusion can we draw from this F-test?
3. What would happen if the test statistic was less than 1?
4. How does sample size impact the test statistic?
5. What are the implications of this test in real-world scenarios?
6. How do we report the results of this hypothesis test in a formal manner?
7. What is the next step if the null hypothesis is not rejected?
8. How can we calculate confidence intervals for variance ratios?

**Tip:** When performing an F-test, ensure that the data comes from a normally distributed population, as the F-test is sensitive to deviations from normality.

Learn how to calculate the test statistic for an F-test using sample variances. Understand the significance of the F-statistic in hypothesis testing and its implications. Suitable for advanced college-level students and researchers.

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