To find the test statistic for this hypothesis test, we use the formula for the two-sample t-test for independent samples:

$t = \frac{\bar{X}_1 - \bar{X}_2}{\sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}}}$

Where:

• $\bar{X}_1 = 0.44$, $s_1 = 1.04$, $n_1 = 17$
• $\bar{X}_2 = 0.37$, $s_2 = 1.27$, $n_2 = 17$

Let's compute the test statistic $t$.The test statistic $t$ is approximately $0.18$ (rounded to two decimal places).

Would you like any additional details or have any questions?

Here are 5 related questions to explore further:

1. How do you determine the degrees of freedom for this t-test?
2. What is the critical t-value at a 0.01 significance level for this test?
3. How would the test conclusion change if the significance level was 0.05?
4. What is the interpretation of a two-tailed vs. one-tailed test in this context?
5. How can we use confidence intervals to test the same hypothesis?

Tip: Always ensure that the assumptions of the t-test are met before using it, such as normality and equal variance (if applicable).