Weekend HW

This weekend, please complete the chapter 12 reading questions. If you did not get a paper copy in class, you can find these below. (Some of you may have already done these, as they were posted over the exam week).

Other than that, be ready to hit the ground running when we get back. We are going to move very quickly through chapters 12 and 13; we have to be finished with the "methods of data collection" unit in the last week of February, so that leaves us with 13.5 days to learn the unit and take our quizzes and tests! Rest up, watch the Superbowl (go Seahawks), and come back ready to work!

One thing to keep in mind when you do this homework--you could, of course, just find these specific answers in your book. However, if you spend a little more time to more thoroughly read the chapter, you will likely have a better understanding of everything as we quickly move through our notes in class.

Weekend HW: Chapter 12 Reading Questions

1.       Explain the relationship between a sample and a population. (p. 270)

2.       What does it mean for a sample to be biased? (p. 271)

3.       What is a census? What are three reasons it might not be the best possible type of sample? (all on p. 274)

4.       There are four types of samples described from page 276-279. Briefly describe each of these four types of samples.

·         Simple Random Sample:

·         Stratified Sample:

·         Cluster Sample:

·         Systematic Sample

5.       There are two ways to “sample badly” described on page 282. Describe each of these types of sampling.

·         Voluntary Response Sample:

·         Convenience Sample:

6.       Define each of the types of bias below (use the glossary on page 288).

·         Voluntary Response Bias:

·         Non Response Bias:

·         Response Bias:

 

Test Tomorrow!

Tonight...study! Tomorrow we have a test for our first grade of the third quarter! The test is 25 multiple choice questions. The topics are listed below. You can use a graphing calculator throughout.
(The four bullets in italics represent the 4 questions you have not learned how to do yet. These will not be counted toward your grade).

• Find the mean of a sample
• Find the median of a sample
• Find a basic probability (Ex: Find the probability the spinner lands on blue.)
• Find probability using "AND," "OR," etc. (Ex: Find the probability you spin a spinner 3 times and all 3 spins are red._)
• Find a probability using "AND," "OR" without replacement (Ex: There are 10 people to be selected for a field trip, 6 males, 4 females. Find the probability that we select two people and they are both males.)
• Use a regression equation to make a prediction (substitute for x!)
• Identify the shape of a distribution
• Use z-scores to compare two different test scores
• Find the overall mean given information about 2 samples (Multiply each sample mean by the size of the sample; then, add these answers/products; then, divide this sum by the total number of people)
• Evaluate potential conclusions drawn from a study
• Understand how summary statistics (mean, median, mode, range, variance) are affected by outliers
• Read a scatterplot
• Estimate the correlation of a scatterplot
• Identify the explanatory, response variable in a study
• Create a confidence interval
• Identify which type of hypothesis test/interval should be used
• Find the percentile (% left) for a given value using a Normal model
• Evaluate a study
• Interpret slope
• Interpret p-value
• Know the measures of center and spread
• Find expected value
• Calculate a p-value
• Know which type of data collection allows us to determine cause and effect

This weekend your homework will be the chapter 12 reading questions...you can find these in one of the posts below (or you got them in class today). Feel free to get a head start on your homework!

Onto the second semester...

So what did you think of the midterm? I know it was tough; this is a pretty authentic AP experience. Now that you have an idea about the level of difficulty, you have a better idea of how to prepare yourself for the AP exam!

I'm looking forward to our next semester...believe it or not, we only have one more full quarter before the AP exam! We will spend about 3 weeks finishing our "methods of data collection" unit, and then we'll start learning about my favorite stuff, hypothesis tests and confidence intervals!

On Tuesday night you will have the reading questions below for homework. Feel free to get them done (so you don't have any homework on Tuesday night)!

Tuesday's HW: Chapter 12 Reading Questions

1.       Explain the relationship between a sample and a population. (p. 270)

2.       What does it mean for a sample to be biased? (p. 271)

3.       What is a census? What are three reasons it might not be the best possible type of sample? (all on p. 274)

4.       There are four types of samples described from page 276-279. Briefly describe each of these four types of samples.

·         Simple Random Sample:

·         Stratified Sample:

·         Cluster Sample:

·         Systematic Sample

5.       There are two ways to “sample badly” described on page 282. Describe each of these types of sampling.

·         Voluntary Response Sample:

·         Convenience Sample:

6.       Define each of the types of bias below (use the glossary on page 288).

·         Voluntary Response Bias:

·         Non Response Bias:

·         Response Bias:

I'm looking forward to a fresh start, new seats, and a new semester! Until then, rest up, relax, enjoy your (hopefully 3 day) weekend, and I'll see you Tuesday!

Exam Time!

The next time I see you it'll be time for the midterm exam!

Study, study, study! Then, study again! Then, study again again!

Here are the topics in your Barron's review book (table of contents) that are on the midterm exam:

• Topic 1: Graphical Displays
• Topic 2: Summarizing Distributions
• Topic 3: Comparing Distributions
• Topic 4: Exploring Bivariate Data
• Topic 5: Categorical Data/Frequency Table
• Topic 9: Probability as Relative Frequency
• Topic 10: Combining Independent Random Variables
• Topic 11: The Normal Distribution

I'm really looking forward to this opportunity for us. As I have mentioned (many times), this is an excellent chance for us to assess our knowledge and try to predict how we might do on the AP exam. Also, (as I have mentioned), you have continually met and exceeded my expectations. Do that again on the midterm--but that can only happen with preparation!

Use your resources.

Check the "resources" link on the right for an outline of the content (topics) we have covered as well as a list of ways to study (I passed this out in class).

See you next week!

Have an awesome 3-day weekend!

Stamps Due Tomorrow!

Tomorrow is the last day of the quarter, and so, our stamps are due!

Your homework tonight is to get your stamps together to turn in tomorrow!

• Count them (twice) and write the total on the front
• Staple/fasten them together or put them in an envelope/bag/etc.
• I will randomly select 5 people per class to double check (their counting)

In addition, if you like, you can complete the 9 multiple choice questions (provided in class or below) for extra credit. These will only be accepted tomorrow. Enjoy!

One more class until exams! See you manana!

Extra Credit Multiple Choice:

 



Stat HW!

Tomorrow we will wrap up our work with simulations--we'll answer any lingering homework questions (from the weekend or before) and we'll try one more practice problem. We'll also have a stamp problem that reviews the Normal model.

Tonight, please complete the 5 multiple choice questions provided in class. These will be collected and graded as a take home quiz!

Enjoy! Three of the multiple choice deal with simulations, and the last 2 are review...good luck! Maybe I'll see you after school to work on them?!

Only 2 more classes before the big midterm! Yay!

Have a great Wednesday!

4 Classes Until Midterms!

Sorry for the late post...for some reason I couldn't log into my Gmail at school today.

Anyway, your homework tonight is to start studying for your midterm! For real!

If you don' t have time to start studying, make a plan:

• Roughly when will you try to study for AP Stat (and your other classes)?
• How will you study?
• Read through the list of options provided today in class (or under the classroom resources link on the right)
• Select a few different ways you would like to study

Map out your strategy. And start now. If you study a little each day, you are likely to do better on the exam than if you try to cram it all into one night! (Of course we've all had to "cram" though :) )

See you all tomorrow for some simulations! Since we spent today's entire class on review, tomorrow will be completely devoted to simulations. 

Snow day = start studying?

Snow day! Enjoy it!

If you find yourself with plenty of time, make sure you finished your homework! Now there's a 1,000% chance I check tomorrow!

After that, maybe you can start studying?! I've uploaded a list of ways to study (as suggested by you), as well as an outline of all of the topics we have covered (that may appear on the midterm). Go to our classroom resources link and it should be the first 2 downloads--"Midterm Exam Topics" and "How Can I Study for the Midterm?"

We only have 4 days to finish now...each day we'll continue to review with our stamp problems, and we will also finish our chapter on simulations. (Simulations are free game for the midterm!)

We will likely have a chapter 11 quiz and vocab quiz on Friday.

Also, your stamps are due Wednesday.

Use today as an opportunity to get ahead! This is the last week of the quarter, so it's likely a busy week for all of us in all of our classes!

Weekend HW....more simulations!

This weekend...more simulation practice!

On Monday we'll continue to talk about simulations...we'll go over our homework questions, then we'll write down tons of vocabulary. Moving forward from there, we'll start to do some AP problems and wrap up the chapter as we move toward midterms!

Tonight, please complete the following in your textbook:

Page 268: 23, 25, 29

• For 23, you have lots of categories to represent with random numbers; try to find the % of cards that represent each category ($200, $100, $50, $20, for instance, 10 out of 100, or 10% of cards will say "$200."
• For a "stopping rule," remember that the store is going to give away this money until the total is more than $500...
• For 25, look at Monday's notes!
• This is a similar context, but our stopping rule will be different. This family isn't having kids until they have 1 girl, they're having kids until they have 1 of each gender...
• For 29, the percentages are given (make/miss a shot)
• In this problem, our player takes 20 shots per game. This means that each trial will need to show "20 shots," or 20 random numbers.
• Your job is to see if she makes 6 shots in a row out of these 20 shots.
• Then, repeat (4 more times for 5 trials).
• What is the probability that she makes six shots in a row (if she takes 20 shots)?

Our numbers (in our conclusions) will not match the back of the book. This is for two reasons:
1.) We are not necessarily using the same random numbers.
2.) We are only conducting 5 trials. The more trials we conduct, the closer our answer will be to the "true answer." That is, if you do 20 trials instead of 5, your answers will be closer to the back of the book. The more trials to you do, the closer your answers will be.

#13 Comments:

• We did not have time in class (today) to go over #13; this is a tricky question! A few comments...
• In #13, we are simulating a person taking a 6 question multiple choice test; this means that each trial should include 6 questions, or 6 random numbers
• So, we want to generate 6 numbers, and then see--"Did you get all of the questions right? Yes or No?" So our response variable in this case (Record...) is not a number, but whether or not we got all of the questions right
• Then, in our conclusion, we want to find the probability that we get all 6 questions right. How many times (in your simulation) were all 6 right (out of 5 trials)? This will give us a probability
• For #13 we do not need to record the number correct or wrong, or how many we had to answer to get one right or wrong...again, we are always generating 6 numbers and checking to see whether all 6 questions were "correct."

See you all on Monday!

Have an awesome weekend!

Simulations HW!

Today we got our first exposure to simulations....woooo!

Tomorrow we'll go over any homework questions and take some more chapter 11 notes (hopefully all of them).

Tonight, please complete the following in your textbook:

Page 266: 9, 13, 19

• For each problem, write a procedure, simulate, then interpret your results
• Conduct 5 trials for each (you don't have to do 20!)

Enjoy your afternoon! Stay warm! And see you all on Friday!

Wed nes day HW!

Back to the grind (for real this time)!

Tonight, please complete the AP problem provided in class (or below). (This AP problem does not have anything to do with simulations!). I'm definitely checking! If you get stuck you can find the rubric for this problem online! Do some google research to check your answers/get some guidance!

 

Homework: AP Free Response 2004

At an archaeological site that was an ancient swamp, the bones from 20 brontosaur skeletons have been unearthed. The bones do not show any sign of disease or malformation. It is thought that these animals wandered into a deep area of the swamp and became trapped in the swamp bottom. The 20 left femur bones (thigh bones) were located and 4 of these left femurs are to be randomly selected without replacement for DNA testing to determine gender.

a.       Let X be the number out of the 4 selected left femurs that are from males. Based on how these bones were sampled, explain why the probability distribution of X is not binomial.

b.      Suppose that the group of 20 brontosaurs whose remains were found in the swamp had been made up of 10 males and 10 females. What is the probability that all 4 in the sample to be tested are male?

c.       The DNA testing revealed that all 4 femurs tested were from males. Based on this result and your browser from part (b), do you think that males and females were equally represented in the group of 20 brontosaurs stuck in the swamp? Explain.

d.      Is it reasonable to generalize your conclusion in part (c) pertaining to the group of 20 brontosaurs to the population of all brontosaurs? Explain why or why not.

No Homework! (Unless You Want Extra Credit...)

No formal homework tonight, but there is an extra credit opportunity below...

For those of you who were absent today, please remember your take home test on Wednesday (so you don't lose any points!)

Today in class we:

• Learned how to find binomial probabilities with a Normal model (as described for #12 in the post below)
• Brainstormed for our new unit: what are the four methods of data collection?

Be ready to work on Wednesday! We'll get right into our new unit, methods of data collection, and start designing some simulations! See you then!


Extra Credit Opportunity: Want/need some extra credit? This is due no later than Wednesday!

You can earn 6 points on a quiz grade if you do the following:

1. Listen to the "Stat Rap" under the "Statistics Music" link on the right.
2. Write down at least 12 statistics references you hear in the song. You must write the exact lyrics of the song. Number these references.
3. Then, below each reference, briefly explain what the reference means, statistically speaking. Do not simply define the terms, you must interpret the statistical meaning in the context of the song!
4. Your explanations must be correct! You will earn 1/2 point for each correct lyric and explanation; if you want to be sure you'll earn all 6 points, feel free to provide extra references!

**This only applies to the "Stat Rap," not the "Stat Rap Remix." (We'll save that one for later...)

Example(s):

1. "I state the null hypothesis there ain't no way you're stopping this."

• The null hypothesis is the first thing you state in a hypothesis test, and this is the first line of a song. 

2. "Crossin' all my T's like my name was Billy Gosset."

• William Gosset developed the t-distribution that is used in Statistics."