120 likes | 211 Vues
Welcome to AP Statistics with Mrs. Ramsey! Conduct a fun water taste test to learn about randomness and probability. Analyze data, discuss hypotheses, and explore long-run vs. short-run outcomes. Get ready for engaging homework assignments!
E N D
Welcome to AP Statistics!! Mrs. Ramsey
Things to do… • Introductions • Syllabus • Calculators? • Water Taste Test • Hand out books! • Section 5.1
Water Taste Test • How many of you think you can tell the difference between the school’s water and bottled water? • Let’s do books in the meantime… • Let’s test it!
Instructions • There will be three cups of water in front of you and you will use the number that is already on your desk to record your answers. • Two of these cups have water from the school and only one has bottled water. • Remember the letter (found on the bottom of your cup) that you think has the bottled water.
Data Analysis • If you were to guess prior to doing this experiment, what do you think the percentage is that people choose the bottled water correctly? • How many people did get this right? • Was our hypothesis correct? Is it good enough to say that we can accurately choose bottled water over tap water? • What else could have affected our results?
BOOKS First! Section 5.1 – Randomnessand Probability • A probabilityis a number between zero (never occurs) and one (always occurs) that describes the likelihood of an event. • An event is a subset of the possible outcomes in a chance process. • The compliment of an event is the opposite of the event. That is, the even does not happen. Ex: Let W be the event that we predicted which cup had the bottled water. P(W) = PC(W) =
5.1 cont… • The number of times an event happens is known as the frequency of that event. Our frequency was ____ • The relative frequencyis the value calculated by dividing the number of times an event occurs by the total number of times an experiment is carried out (written as a fraction, decimal, or %). Our relative frequency was ______
Long Run v. Short Run • Imagine that you were to flip a coin 10 times and write down your results (use H for heads and T for tails)
Actually do it • Flip a penny 10 times and record your results. • Label your first list “predictions” • Label your second list “actual” • The probability of an event can be thought of as its long-run relative frequency when the experiment is carried out many times.
The myth of the “law of averages” • Believers think that if you flip TTTTTT then the next flip of a coin is more likely to be H. It is true that in the long run heads will appear half the time. What is a myth is that future outcomes must make up for any imbalance. • Coins and dice have no memories! • After 10,000 flips the result of the first six flips doesn’t matter.
Homework • Fill out 2 Google forms on my website with your parents! • Section 5.1 Homework: Pg. 293 (1-4, 7-12, 14-20, 23-27) • There are videos of Mr. Suk teaching that are posted on my website! If you watch them you might have help with your homework… • Section 5.2 homework: Pg. 309 (39-46, 49-56) • Section 5.3 homework: Pg. 329 (63, 65, 67-78, 81, 83-88, 94-96, 99-103)