According to voter registration data in California from the…

According to voter registration data in California from the November 2018 election, the state has a demographic makeup of 43.5% Democrat, 24% Republican, 5% Other, and 27.5% with no political party affiliation. You are tasked with taking a stratified random sample of 1800 from this population.  How many republicans would be included in your sample?

Scenario: Matt, a local community college mathematics teache…

Scenario: Matt, a local community college mathematics teacher always lets his students use a 1-page reference sheet during his exams. Students are allowed to put anything they want on the reference sheet as long as it fits on the 1-page reference sheet. He was talking to one of his colleagues about this policy when she mentioned that she also allows her students to use a reference sheet, but she makes it for them and they aren’t allowed to include any additional information. Matt decided to see which method worked better for his students. He was teaching 2 calculus classes that semester, and he allowed one of those classes to make their own reference sheets, and for the other class he made their reference sheets for them. At the end of the semester, he looked at the final grades for each class to determine whether one method was more beneficial for his students.  Is the scenario described above an example of an experimental study or an observational study? Explain how you arrived at your answer and be as specific as possible. 

A small company is interested in determining how many of its…

A small company is interested in determining how many of its employees are still paying off student loans. However, the company doesn’t want to allocate the resources required to survey every single employee. So they decide to randomly sample 2 individuals from each department using a simple random sample approach. There are a total of 5 individuals that work in the human resources department. How many possible distinct combinations of 2 individuals could be selected from the human resources department?