Question

1. A child is playing with your launcher toy and has 12 ping pong balls that come with the set. If two of them were poorly made and might get stuck in your launcher, what is the probability that for any one launch one of the two bad ping pong balls will be loaded? Give your answer as a percentage.

2. I launch the ping pong ball 12 times at the same vertical and horizontal angle. I get the following distances traveled (in meters): 4.23, 3.98, 4.01, 3.95, 3.97, 4.11, 4.16, 3.78, 4.05, 4.21, 3.85, 3.82. What is the probability that the next launch I do will give me a distance value above 4.0 meters? Think carefully about which area you will need to use. Give the answer in percentage.

3. Whenever I launch my ping pong ball the distance is good but the ball is always a bit to the left of the target. What type of error is that?

4. My ping pong ball usually travels 2.75 meters when launched with a standard deviation of .15 meters. I change part of my launcher design and it now flies 3 meters on the first try. What is the probability that the new result is JUST RANDOM CHANCE? (rather than because of the change I made). Give your answer in %.

5. I have the following data for may ball launch distance (in meters): 3.01, 3.10, 2.98, 2.99, 3.05, 3.06, 2.99, 2.97, 3.00, and 3.02. Given that information what would be the Z score for a measurement of 3.08?

Answer 1