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Wednesday, January 14, 2015

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!

Tuesday, January 13, 2015

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. 

Monday, January 12, 2015

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!

Friday, January 9, 2015

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!

Thursday, January 8, 2015

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!

Wednesday, January 7, 2015

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.

Monday, January 5, 2015

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."