AP Statistics Assignment for 1/30

We will have our group redo of the Unit 4 test in class tomorrow. The extra credit puzzles you got today should be turned in tomorrow as well.

By Friday, please work on the Unit 4 Practice Exam, pages 439-443. Complete the odd numbered multiple choice questions, as well as free response question 2. Do this on a separate piece of paper; you’ll be trading papers and grading each others’ responses!

AP Statistics Assignment for 1/18, plus Test Warning

The applet for today’s activity can be found here. Using this simulator, find:

  • Two very different values of p and n that create a distribution that you would confidently identify as “normal”
  • Two very different values of p and n that create a distribution that you would confidently identify as “not normal”
  • At least one value of p and n that creates a distribution that might be normal, but you’re on the fence about.

Report your findings here

For homework this weekend/next week, please finish reading Chapter 16, pages 423-429, then work on exercises 32, 33, and 34 from page 432.

Out Unit 4 Test will be on Wednesday, January 30. We’ll spend Monday and Tuesday after we get back from midterm exams reviewing the unit. Over next week, I recommend you work on the following practice problems from the Unit 4 review, pages 434-439: 5, 16, 20, 21, 23, 25, 27, 28, 37.

AP Statistics Assignment for 1/17

First, some more about a big topic that came up at the end of class: The Difference Between an Assumption and a Condition

In order for a model (e.g., a normal model or binomial probability model) to be valid for a scenario, we must be able to make certain assumptions about that scenario.  These assumptions can include the results of individual trials being independent from each other, the distribution of results being sufficiently unimodal and symmetric, etc.

If it is appropriate to make these assumptions, then go ahead and do it. But if it is not appropriate to make these assumptions, you can still proceed provided certain conditions are satisfied.  These conditions mean that the scenario is “close enough” to allow the model to be valid.

For example, coin flips are independent.  There is no finite population of coin flips that you are “drawing” a sample from, and so each coin flip’s outcome is independent of the next.  Drawing cards from a deck are not independent, as the deck is finite and the probability of a certain outcome changes with each card that is removed. However, if the population is large enough, or more specifically if the sample is small enough in comparison to the population, then that probability change is very small, small enough to be ignored.

In general, as long as the sample size is less than 10% of the overall population, the probability change isn’t big enough to be worrisome. The reason why the magic number is 10% has to do with something called the Finite Population Correction Factor, and a thorough description of where it comes from and how it affects probabilities can be found here.

Your homework tonight

From pages 431-432, please do 19, 21, 26, and 28.