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# Ch. 11 Simulations Good

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Better version of simulations from Ch. 11

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### 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. &quot;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.&quot;
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....)