A university administrator claims that the median number of years that faculty have worked at the university is less than the national median of $7.8$ years, based on a survey of the faculty at the university. The national median comes from a comprehensive higher education report. Is it possible that the administrator's claim is valid? What questions should you ask about the survey?

No, because the university medians must match the national median.

We should ask about the mean age of the faculty members.

Yes, the claim is valid as long as the sample size is large, regardless of how the survey was conducted.

We should ask the opinions about the faculty job satisfaction and whether the faculty submitted their tax records.

No, because the university's faculty is not comparable to national data under any circumstances.

We should ask about the mean age of the faculty members and whether the comparison was made using mean or median.

Yes, the administrator's claim may be valid.

We should ask about random sampling, sample size, representativeness, definition of 'years worked,' and survey timing.