A superintendent of a school system is interested in how the teachers working at the schools feel about the current professional development offerings, so they use the employee dashboard to randomly select 60 teachers for their survey. As it happens, approximately two teachers from each grade are chosen, and there is about the same number of teachers for each major discipline. Is this a simple random sample? Is it a representative sample?

Welcome back. For this problem, we have a superintendent of a school system interested in how teachers working at the school feel about their current professional development offerings, so they use the employee dashboard to randomly select 60 teachers for their survey. As it happens, approximately two teachers from each grade are chosen, and there is about the same number of teachers for each major discipline. We wanna know, is this a simple random sample, and is it a representative sample? We know that they picked from the employee dashboard, which presumably contained all possible teachers in the district, and also they used technology to randomly select them from this dashboard. So we can assume that each teacher had the same chance of being selected. So, yes, we can say that this is a simple random sample. We are also told that 60 teachers were chosen approximately two from each grade and that there was about the same number of teachers from each major discipline. Because we have this information, yes, we can assume that this is a representative sample. Great work.