11th grade Use a simulation to test a model, and to compare two treatments worksheet

Use a simulation to test a model, and to compare two treatments

Grade 11 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   Jun simulated 10 flips of a fair coin 100 times and plotted the heads in each set of 10. What does one dot stand for?

   • One flip of the coin: heads or tails on that flip
   • One set of 10 flips: its number of heads
   • One head
2. 2.

   Kira simulated 30 rolls of a fair number cube 100 times and plotted the sixes in each set of 30. What does one dot stand for?

   • One set of 30 rolls: its number of sixes
   • One six
   • One roll of the number cube: the face that landed up

3. Read this first

   Use this

   Dot plot of 100 chance deals of the 20 results into two groups of 10 (difference in mean growth, plant food − plain water, cm, rounded to the nearest 1): -2: 7, -1: 18, 0: 42, 1: 24, 2: 7, 3: 2.

4. 3.

   Luz mixed the growth numbers of 20 bean plants, dealt them at random into two groups of 10 a hundred times, and plotted each difference in means. What does one dot stand for?

   • One plant's growth
   • One random deal: the difference between its two group means
   • The real difference the plant food made to the growth of these bean plants
5. 4.

   Noah's coin landed heads 8 times in 10 flips. The plot shows 200 sets of 10 flips of a fair coin. In how many sets were there 8 or more heads?
6. 5.

   Pia's number cube showed 8 sixes in 30 rolls. The plot shows 100 sets of 30 rolls of a fair cube. In how many sets were there 8 or more sixes?
7. 6.

   Ren's class tested plant food on 20 bean plants, assigned at random. The plant-food group grew 2 cm more on average. In how many chance deals was the difference 2 cm or more?
8. 7.

   Tala's class tested two wing designs on 24 paper airplanes, assigned at random. The long-wing planes flew 3 feet farther on average. In how many chance deals was the difference 3 feet or more?
9. 8.

   Zee's 10 bean plants with plant food grew 142 cm in all; the 10 with plain water grew 118 cm in all. What is the difference in mean growth, in cm?
10. 9.

    Ari's 8 long-wing paper airplanes flew 196 feet in all; the 8 short-wing ones flew 172 feet in all. What is the difference in mean flight distance, in feet?
11. 10.

    In Bo's ruler-drop test, the 10 students without practice had catch distances of 164 cm in all; the 10 with practice, 131 cm. What is the difference in mean catch distance, in cm?