Form 13: Multiple Random Samples and Sampling Variability

Questions

1. MultiChoice

   Three different random samples of 30 students yield mean study times of 4.2, 4.8, and 4.5 hours. Why are these values different?

2. MultiChoice

   Sample A estimates 20% support, Sample B estimates 28% support, and Sample C estimates 27% support. What is the average estimate across these three samples?

3. MultiChoice

   What happens to the distribution of sample means when multiple random samples of size 100 are taken instead of size 10?

4. MultiChoice

   Five random samples give population height estimates of 62, 64, 63, 65, and 66 inches. What is a reasonable range for the true population mean?

5. MultiChoice

   What statistical term describes the variation among estimates calculated from multiple random samples drawn from the same population?

6. MultiChoice

   Four samples of 50 students report mean weekly screen times: 14, 16, 15, and 15 hours. What is the best overall estimate of the population mean?

7. MultiChoice

   If 100 random samples are drawn from the same population, where will the distribution of their means center?

8. MultiChoice

   Which sample size choice will result in the lowest variability among multiple sample estimates?

9. MultiChoice

   Multiple random samples produce proportions of 0.50, 0.55, 0.48, and 0.55. Estimate the overall population proportion.

10. MultiChoice

    Two researchers independently take random samples of 40 students. Researcher A finds 35% like math; Researcher B finds 40%. What should they conclude?

11. MultiChoice

    How can students model sampling variability without surveying thousands of real people?

12. MultiChoice

    Which action reduces the uncertainty associated with sampling variability?