Unformatted text preview: Hot Hand Lab Questions
1. About 43.6% of Kobe’s attempted baskets are successful. 2. Kobe’s typical streak length is 0. The variability in the streak length can be described
with the range, which is 4, or the IQR, which is 1. The shape of this distribution is
right-skewed. 3. To perform this simulation, we should draw out the slips with replacement, otherwise the
success probability will be different each time. For example, if we have 50 slips that say
“hit” and 50 slips that say “miss”, the success probability is 50%. However, if we draw
out a “hit” slip without replacing it, the success probability for the next draw becomes
49.49%. Our goal is to ensure that each shot is independent of the next, therefore, the
success probability should always be the same.
4. The collection now contains 44 hits. 5. The computer performs this simulation by randoming selecting an observation from the
Sample of Hot Hand collection and recording the number of streaks. The program
replaces the observation each time to make sure the probability stays the same.
6. For the simulation distribution, the typical streak length is 1. The variability in the streak
length can be described with the range, which is 5, or the IQR, which is 1. The shape of
this distribution is also right-skewed. 7. Both graphs have right-skewed distribution with mode at 0. The median for Kobe’s graph
is 0, while the median for the simulation is 1. The maximum for Kobe’s graph is 4, while
the maximum for the simulation is 5. The IQR for both distribution is 1.
8. No. The simulation shows that hot hand phenomenon does not exist, and each attempted
basket is independent from the next one. We come to this conclusion because the
simulation assumes the player does not have hot hand, and it is fairly similar to Kobe’s
distribution. It has even higher mean, median, and maximum value, therefore, we
conclude that Kobe’s performance during these 5 games was normal to his success
This lab covers many concepts from chapter 5, including: randomness, probability, trial,
simulation and independence. There are also concepts from the previous chapters, such as center, spread and shape of distributions. However, the textbook does not cover how
replacement will change the probability. We reviewed these concepts in discussion
section in preparation for the midterm exam and after the midterm exam. They also
appeared in practice problems. ...
View Full Document
- Winter '08