Sample means, margin of error and confidence intervals
Grade 11 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
Esme's random sample of 100 students found 34% bike to school. Using the margin 1/√n, what is the lower end of the interval, as a percent?
Jun's random sample of 625 students found 52% want a longer lunch. Using the margin 1/√n, what is the upper end of the interval, as a percent?
Kira reads a state report: a random sample of 10,000 students found 63% recycle at home. Using the margin 1/√n, what is the upper end of the interval, as a percent?
Luz's random sample of 400 students found 71% read every day. Using the margin 1/√n, what is the lower end of the interval, as a percent?
Milo wants a margin of error of 4% for a district survey about lunch. Using the margin 1/√n, how many students should be in the random sample?
Pia wants a margin of error of 2.5% for a state survey about recycling. Using the margin 1/√n, how many students should be in the random sample?
Ren's random sample of 200 students gave a margin of error of 6%. About how many students would give a margin of 3%?
Tala's random sample of 150 students gave a margin of error of 8%. About how many students would give a margin of 4%?
Bo reads a state report: a random sample of 10,000 students found 51.5% recycle at home. Using the margin 1/√n, does it show that more than half of all the students do?
- Yes: the whole interval 50.5% to 52.5% is above 50%.
- Can't tell: only asking every student could show it.
- No: the interval 49.5% to 53.5% includes 50%, so it may not be more than half.
Esme reads a district report: a random sample of 1,600 students found 46% read before bed. Using the margin 1/√n, does it show that fewer than half of all the students do?
- No: the interval 41% to 51% includes 50%, so it may not be fewer than half.
- Can't tell: only asking every student could show it.
- Yes: the whole interval 43.5% to 48.5% is below 50%.