In this problem, you mentioned a researcher believes the average student debt is more than $25,000. However, you didn't provide the actual mean student debt of the sample. This value is critical because without the sample mean, we cannot directly calculate further statistical measures (like conducting a hypothesis test) to support the researcher's claim.

Could you provide the mean student debt for the sample (or additional data if needed)?

Meanwhile, here’s an outline of what would be done:

1. Null hypothesis ($H_0$): $\mu = 25,000$
2. Alternative hypothesis ($H_a$): $\mu > 25,000$
3. Population standard deviation: $\sigma = 5,000$
4. Sample mean: (this is the value missing)
5. Significance level (if needed to test the hypothesis, usually set at 0.05)

Would you like to provide the sample mean or