Ch. 11 Simulations Good

756 views

Published on

Better version of simulations from Ch. 11

0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total views
756
On SlideShare
0
From Embeds
0
Number of Embeds
32
Actions
Shares
0
Downloads
7
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

Ch. 11 Simulations Good

  1. 1. OBJECTIVES 1. 2. 3. HW REMINDERS SIMULATIONS HW DISCUSSION STUDY FOR QUIZ CHAPTER 11 QUIZ TOMORROW
  2. 5. Someone hands you a coin, and tells you it is biased towards landing heads. As a good stat student, you are skeptical. What would you do?
  3. 6. 1. Conduct a simulation on your calculator. randInt(0, 1) (0 = TAILS, 1 = HEADS) 2. randInt(0, 1, 5) Mess with this - do you get any that are all heads / tails? 3. sum(randInt(0, 1, 100)) 4. Make your decision: What would it take to convince YOU that the coin is biased? 1 FLIP 5 FLIPS 100 FLIPS, COUNT # OF HEADS
  4. 7. We will never know the truth for sure..... ** A fair coin could come up as 75 heads out of 100. ** A biased coin could come up as a 50 - 50 split. "Such is the nature of Statistics - the branch of mathematics in which we never know exactly what we are talking about or whether anything we say is true."
  5. 8. Suppose a basketball player has an 80% free throw success rate. How do we use a simulation to simulate whether or not she makes a foul shot? COMPONENT: (most basic event we are simulating) TRIAL: (Sequence of events we want to investigate) RESPONSE VARIABLE: (What we want to measure / count) STATISTIC: (taking the mean....)
  6. 9. How many shots might she be able to make in a row without missing? Describe the simulation of having her shoot free throws until she misses, counting the number of successes. COMPONENT: (most basic event we are simulating) TRIAL: (Sequence of events we want to investigate) RESPONSE VARIABLE: (What we want to measure / count) STATISTIC: (taking the mean....)
  7. 10. How would our simulation procedure change if she was only a 72% free throw shooter? COMPONENT: (most basic event we are simulating) TRIAL: (Sequence of events we want to investigate) RESPONSE VARIABLE: (What we want to measure / count) STATISTIC: (taking the mean....)
  8. 11. How would a trial and our response variable change if we wanted to know how many shots she might make out of 5 chances she gets at a crucial point in the game? COMPONENT: (most basic event we are simulating) TRIAL: (Sequence of events we want to investigate) RESPONSE VARIABLE: (What we want to measure / count) STATISTIC: (taking the mean....)
  9. 12. How would a trial and our response variable change if we want to know her chances of hitting both shots when she goes to the line to shoot two? COMPONENT: (most basic event we are simulating) TRIAL: (Sequence of events we want to investigate) RESPONSE VARIABLE: (What we want to measure / count) STATISTIC: (taking the mean....)
  10. 13. How would the simulation change if we want to know her score in a 1-and-1 situation. (She gets to try the second only if she makes the first). COMPONENT: (most basic event we are simulating) TRIAL: (Sequence of events we want to investigate) RESPONSE VARIABLE: (What we want to measure / count) STATISTIC: (taking the mean....)
  11. 14. We are to randomly select 3 students from the class to speak at Parents' Night about the joys of taking AP Stat. How likely is it that we'll get 3 boys? COMPONENT: (most basic event we are simulating) TRIAL: (Sequence of events we want to investigate) RESPONSE VARIABLE: (What we want to measure / count) STATISTIC: (taking the mean....)

×