3 Day Weekend HW (and Monday's hw, and an extra credit hw...)

**Please consider your schedule for our April break session--I will pass out an initial sign up sheet on Monday to get a head count*

• April Break Session: Wednesday 4/11 from 10:00 - 1:30
• You will be given a (heavily weighted) take home test over April break--this will be a practice exam, covering all content we have learned, to start our preparation for May 17th
• During the review session you will have the opportunity to work in groups, to ask questions (of me) and your classmates, and to study (by competing the take home test) in a structured environment....
• Best case scenario = you finish and turn it in that day!

1.) Weekend HW = "Inferences for Means: T Tests and T Intervals (More Practice!)" packet.

• If you were absent today and need a copy of this assignment please send me an email and I will respond with an attachment, or use the images below (carofano.fm@easthartford.org)
• YOU ARE EXPECTED TO BE RESPONSIBLE AND COMPLETE THIS EVEN IF YOU WERE OUT!
• You will receive a 0 if you do not complete this for Monday!
• See below for images of the weekend homework
• #2: Finding sample size....
• In #2 (MC) you are asked to find sample size....
• We'll use the same logic as before--we're given the margin of error, so we'll use the margin of error equation to solve for n. This gives us...
• ME = t*(Sx/sqrt(n))
• However, we cannot find t* without df, or without n--so instead we just uze z* in this case
• So we set up the equation ME = z*(Sx/sqrt(n)) , substitute the correct values, and solve for n

2.) Have time and feeling ambitious? Here's Monday's homework:

• Monday Homework: complete the t-interval and t-test for the two remaining slides for chapter 23 (in your notes), or on the last two pages if you took the packet
• If you use the slides you should paste these contexts into your notebook and complete these problems there!
• The context is about the "mean number of credit cards undergraduates report carrying"
• See below if you need the slides/contexts

3.) Extra Credit HW Opportunity: Due by Wednesday (more t-practice)

• To earn this extra credit you must complete the problems below AND use a different color pen/pencil to grade your work (using the back of the book)
• It's ok if you don't have all the right answers initially, just show some corrections if you had something wrong! And show some checks or correct marks for everything that's right!
• Pages 541 - 545: 1bac, 13, 17ab, 23abc

Weekend HW:

Monday HW:

And here is today's t-test example from class:

Wednesday HW = First HW of the 4th Quarter! (Counts double)

**If you were absent today you MUST make up your chapter 22 quiz tomorrow, as it is the last day of the quarter; you can do it during any free period or after school. If none of those work you will have to do the quiz in class, but then you will miss our "new stuff" (notes).**

Also (absent people), see below for today's notes to help with your homework--you got this!

1.) Wednesday HW = T Interval Practice!

• Please complete the following in your textbook (this will count double since it's our first hw of the 4th quarter!): 
• Page 541-545: 7, 9, 11, 21, 33bc
• 7 = interpreting confidence intervals and levels practice
• 9 = interpret and understand intervals practice
• 11 = full confidence interval process
• 21 = types of error 
• 33bc...
• b = math, interpret
• c = use interval to test a claim
• When doing "the math" you should copy your calculator screen and show the t-interval formula...
• When showing the formula, simply write "t*" and provide the correct degrees of freedom--we'll learn more about this moving forward
• Remember, df (degrees of freedom) = n - 1

2.) STAMPS are DUE TOMORROW--get them in! If you do not have them in class tomorrow you will earn a 0 on this classwork grade!

• All stamps moving forward will be for the fourth quarter!
• Count up all your stamps and get them together (staple them, put them in a bag, put them in an envelope, build a container---whatever works)
• Feel free to rip a stamp off a corner of a paper or show me a stamp if it's on your notes--I really only need the stamp (or you can give me the full paper, you'll get them back)--whatever works
• Double check your count!
• I will re-count for 5 randomly selected students in each class. If your total is incorrect in any way you will earn a 0...so count twice

3.) We will have an April break review session (to work through our review take home test) on Wednesday, 4/11 from 10:00 to 1:30.

• Please take a look at your schedule and let me know if you plan to attend! 
• I will start passing out a sign up sheet tomorrow/Thursday to get a tentative head count
• If you can't come for the full time, but can come for some, that's ok! Just let me know when you think you'll be there!

4.) Mandatory meeting for all AP students on Thursday, April 19th after school in the cafe. Be there!

Here is today's example/notes for those of you who were out:

Ch. 22 Quiz Tomorrow, Stamps Due!

1.) We will have an April break review session (to work through our review take home test) on Wednesday, 4/11 from 10:00 to 1:30.

• Please take a look at your schedule and let me know if you plan to attend! 
• I will start passing out a sign up sheet tomorrow/Thursday to get a tentative head count
• If you can't come for the full time, but can come for some, that's ok! Just let me know when you think you'll be there!

2.) Mandatory meeting for all AP students on Thursday, April 19th after school in the cafe. Be there!

3.) STAMPS are DUE! (by Thursday)--get them in!

• All stamps moving forward will be for the fourth quarter!
• Count up all your stamps and get them together (staple them, put them in a bag, put them in an envelope, build a container---whatever works)
• Feel free to rip a stamp off a corner of a paper or show me a stamp if it's on your notes--I really only need the stamp (or you can give me the full paper, you'll get them back)--whatever works
• Double check your count!
• I will re-count for 5 randomly selected students in each class. If your total is incorrect in any way you will earn a 0...so count twice

4.) Chapter 22 Quiz Tomorrow!

• You will have 20.95 minutes at the start of class (then we'll start our "new stuff," inferences for means)
• Quiz Content:
• 3 Multiple Choice
• 2 Free Response (or 3, depending on how you count :) )
• What to study:
• 2 Proportion Z Test and 2 Proportion Z Interval Free Response
• Look over last nights homework with the provided key
• Review the AP FR we worked on yesterday in class
• Use the examples (about snoring) in your notes, or you can find these in the blog post below
• Here is another practice FR you can try with an answer key:
• 
  

• Multiple Choice:
• Look over the 2 prop z multiple choice we completed as a stamp on Friday (passed back yesterday), or the 5 we completed to start class today
• If you turned in your stamps here are the 3 questions from Friday:

**Remember, mandatory meeting for all AP students after school on 4/19**

1.) STAMPS are DUE! (or Tuesday, or Wednesday)--get them in!

• All stamps moving forward will be for the fourth quarter!
• Count up all your stamps and get them together (staple them, put them in a bag, put them in an envelope, build a container---whatever works)
• Feel free to rip a stamp off a corner of a paper or show me a stamp if it's on your notes--I really only need the stamp (or you can give me the full paper, you'll get them back)--whatever works
• Double check your count!
• I will re-count for 5 randomly selected students in each class. If your total is incorrect in any way you will earn a 0...so count twice

2.) Monday's Homework: "Inference for Two Proportions" worksheet! (last practice)

• I am definitely going to check this homework assignment tomorrow, and it's going to count double! So get this done!
• Tonight's homework is one last round of practice with all this "2 prop z" stuff! This is preparation for Wednesday's quiz (20 min at the start of class), which will be our last quiz grade of the fourth quarter!
• For #3 we have to work with the types of error:
• First, write your hypotheses--try to translate these into sentences to use for your types of error...
• Ho: p1 = p2  ("there is no difference in graduation rates of normal and low birth weight babies")
• Ha: p1 is not equal to p2 ("there is a difference in graduation rates of normal and low birth weight babies")
• From here it's all the same as before! In reality ______, but our test _______. 
• Remember to use the info given in the context for your consequences!
• Monday's HW:

And finally, here are some resources to help with your work tonight and to prepare for our quiz Wednesday--the images show the exact notes we took in class last Thurs/Fri!

2 Proportion Z Interval Video!

• This video skips the 10% condition and doesn't show the formula with the correct numbers substituted, but does a good job otherwise in using the calculator and interpreting the interval
• Another 2 Prop Z Interval Video!
• This video doesn't use the graphing calculator for the math like we would, but otherwise is pretty good; this video interprets the interval in a different (correct) way than the first video linked
• If you find any other/better videos please send me the link to share!
• 2 Proportion Z Interval Notes/Example (Thursday 3/22 notes):

• 2 Proportion Z Tests notes/example (Friday 3/23 notes):

Giant Blog Post (Read it, yo!)

We've got a lot of info and resources below.....

Remember, your homework is about learning; it's not about earning credit, or doing it to get it done--these practice problems provide the practice you need so you can ace your quizzes, tests, and most importantly, the AP exam! We will have a quiz on two proportion z intervals and tests on Wednesday--if you do not do your homework each night you will definitely have a tough time on the quiz! Be responsible, use the resources provided, and work hard!

Here's everything homework related:

1.) This weekend please complete the rest of last night's homework--the three hypothesis test examples (shown in green on the image below)!

• You have an answer key for all of this homework--don't look at it! Try these on your own, then use the key to check your understanding! The more effort you put in now, the more prepared you'll be for Monday's classwork and Wednesday's quiz!
• Skip the conditions for the CCMMR and CC alone context--you checked these with your homework last night--so just do the rest of the hypothesis test
• You can also skip the conditions for #2 in the Obama/Trump context.
• Try the conditions for the last question, the Time magazine context about men's attitudes--these aren't on the key, so they're listed below to check.
• Conditions: Time Magazine....
• It's not stated if the samples of men 18-24 and 25-34 were selected randomly--proceed with caution.
• 129 < 10% of all men age 18-24 (in the U.S.), and 184 < 10% of all men age 25-34 (in the U.S.)
• We do not know if the samples are collected randomly, so we will assume the two (age) groups are independent of each other.
• Success Failure Condition: Two Options...
• Use p-hat for each sample (same as for a 2 prop z interval):
• (0.62)(129)>10, (1-0.62)(129)>10  and  
• (0.533)(184)>10 and (1-0.533)(184)>10
• OR we can use p-hat pooled so that we're consistent with the null....
• (0.569)(129)>10, (1-0.569)(129)>10, and 
• (0.569)(184)>10 and (1-0.569)(184)>10

• Here's the homework if you were out or lost yours (complete on separate paper):

2.) STAMPS are due Monday (or Tuesday, or Wednesday)--get them in!

• Today was your last stamp of the 3rd quarter! (you'll get them back Monday and can add them to your total)
• Count up all your stamps and get them together (staple them, put them in a bag, put them in an envelope, build a container---whatever works)
• Feel free to rip a stamp off a corner of a paper or show me a stamp if it's on your notes--I really only need the stamp (or you can give me the full paper, you'll get them back)--whatever works
• Double check your count!
• I will re-count for 5 randomly selected students in each class. If your total is incorrect in any way you will earn a 0...so count twice

3.) Monday's Homework: "Inference for Two Proportions" worksheet! (last practice)

• As you're working super hard to master two proportion z intervals and two proportion z tests this weekend it might be a good idea to do Monday's homework--this will give you more practice with the 2 prop z stuff AND you'll have Monday's hw done!
• Monday's HW:

And finally, here are some resources to help with your work:

2 Proportion Z Interval Video!

• This video skips the 10% condition and doesn't show the formula with the correct numbers substituted, but does a good job otherwise in using the calculator and interpreting the interval
• Another 2 Prop Z Interval Video!
• This video doesn't use the graphing calculator for the math like we would, but otherwise is pretty good; this video interprets the interval in a different (correct) way than the first video linked
• If you find any other/better videos please send me the link to share!
• 2 Proportion Z Interval Notes/Example (Thursday's class):

• 2 Proportion Z Tests notes/example (Friday):

Thursday HW = 2 Prop Z Intervals!

Hey everyone! Let's all put in max effort--we'll be moving quickly through the rest of AP Stat, so it is essential that you are in class every day and complete all of your homework! If you do not consistently complete homework it'll be easy to quickly fall behind--2ish more months of me harassing you about this and max effort to prepare for our AP exam!

Tonight, please complete the questions shown in red (on the homework image below). (The rest will be your weekend homework, after we learn about 2 proportion z tests tomorrow). 

**Period D: Thanks to the fire drill you must use the notes slides and video linked below to help with your homework. Of course all of you are welcome to use this info to help!

• Here's some more info to help:
• First question: "Estimate the difference in survival rates for CC+MMR and CC alone..."
• Use your example from today's class! This question is very similar! 
• Remember: Conditions, Math, Interpret
• Next question (Obama, Trump initial approval ratings)
• 1.) "Estimate the difference in initial approval ratings." 
• Notice we can skip the conditions here--math and interpret!
• For the following bullets (Obama/Trump Question)....
• Based on your interval, is there evidence to suggest a significant difference in approval ratings for President Trump and President Obama?)
• Consider this: if there was no difference in approval ratings, this means the approval ratings are the same--so if we subtracted, we would get 0!
• To determine if there is a significant difference in approval ratings we need to check if our interval contains 0....
• Interval contains 0: our interval does not suggest a difference in approval ratings (because our interval suggests it's possible the difference is 0!)
• Interval does not contain 0: our interval does suggest a difference in approval ratings!
• Based on your interval, is there evidence to suggest President Obama had a higher initial approval rating?
• Consider your order of subtraction and the sign(s) (+/-) of the values in your interval.....

Here's some more stuff to help with your homework tonight:

• 2 Proportion Z Interval Video!
• This video skips the 10% condition and doesn't show the formula with the correct numbers substituted, but does a good job otherwise in using the calculator and interpreting the interval
• Another 2 Prop Z Interval Video!
• This video doesn't use the graphing calculator for the math like we would, but otherwise is pretty good; this video interprets the interval in a different (correct) way than the first video linked
• If you find any other/better videos please send me the link to share!
• Today's note slides:

Tuesday/Wednesday HW!

**If you were absent today you must make up your test Thursday, Friday, or at the latest, Monday (or you will receive a 0)**

• Thursday: you can make up your test any period you have free or after school
• Friday: you can make up your test any period you have free 
• Monday: you can make up your test any period you have free or after school

I hope you're feeling confident about today's test! Remember, this stuff lays the foundation for all the confidence intervals and hypothesis tests we'll work with moving forward, so if you struggled today you should be proactive and come get some help asap!

If we have school/SAT day tomorrow I should get all of the tests graded by Thursday.

Want to get a head start and use some of your time productively? Read chapter 22 in your textbook and do some learning about 2 Proportion Z Tests and 2 Proportion Z Intervals!

Tonight/tomorrow please complete the "AP Stat MC: Power and Types of Error" worksheet provided in class (or below). 

• I may collect this as a take home test grade, or I may check it as homework and we'll discuss them in class....we'll find out Thursday :)
• Here are the questions:

Here's the plan moving forward:

• Thursday (3/22): 2 Proportion Z Interval (Ch. 22)
• Friday (3/23): 2 Proportion Z Test (Ch. 22)
• Weekend HW = Practice 2 Proportion Z Tests/Intervals (Ch. 22)
• Monday (3/26): 2 Prop Z AP FR (Ch. 22)
• Wednesday (3/27) to Thursday (3/29): T Tests, T Intervals, and the T Distribution (ch. 23)
• Monday (4/2) to Wednesday (4/4): T Tests, T Intervals, and the T Distribution (ch. 23)
• Thursday (4/5) to Friday (4/6): 2 Sample T Intervals and 2 Sample T Tests (ch. 24)
• April Break (4/9 to 4/13): AP Exam Prep/Review Take Home Test

TEST TOMORROW!

TEST TOMORROW! STUDY, STUDY, STUDY! This will be the most heavily weighted test of the third quarter!

1. First, complete the "AP Stat Test Review: Ch. 19, 20, 21" that we had for homework this weekend, and then use the key provided in class to check your work! (see the last post for the questions)
2. Do the Thursday HW--"Chapter 21: Types of Error" worksheet and check your answers below!
3. Finish the chapter 19, 20 MC we worked on in groups on Friday 3/9! (Answers below)
4. Look over your past (chapter 19 and 20) quizzes, math and vocab
5. Do practice problems!
• Here are some additional practice problems you can use to study (from your textbook):
• Chapter 21: Hypothesis Tests, Confidence Intervals, Types of Error
• Pages 492-494: 15, 17, 21, 27
• Unit 5 Review (answers in back under "Part V Review")
• Page 513-517: 5, 15, 17, 27, 29, 37

Here's an outline of the content for tomorrow's test, which includes free response, multiple choice, and some true/false questions:

• Identify info given in a context: x, n, p-hat, confidence level, margin of error
• Estimate a population proportion = create a one proportion z interval:
• Conditions
• Math (remember to show the interval formula!)
• Interpret your interval
• Use a confidence interval to "test a claim"
• Interpret the meaning of a confidence level
• Find sample size given margin of error, confidence level (remember to use 0.5 for p if it's not given)
• Find margin of error given summary data (n, confidence level, p-hat)
• Find the confidence level given ME, n, and p (or use 0.5 if p is not given)
• Find the value of the sample statistic (point estimate) and margin of error given only a confidence interval
• Know how changing confidence level and sample size will affect the margin of error and/or the width of an interval
• Conduct a one proportion z test
• Hypotheses 
• Conditions
• Math (show the z score formula, you can skip the shaded model if you like!)
• Write a conclusion based on p-value/alpha level
• Understanding p-values....know how to answer questions like those on the first two slides below
• Define a Type I error and a potential consequence (based on the given context)
• Define a Type II error and a potential consequence (based on the given context)
• Know how to calculate power
• Know how we can decrease the probability of a Type I error (alpha) and/or a Type II error (beta); know how alpha and beta relate
• False positives and false negatives: which is a Type I? Type II?

See below for Friday's (3/16) notes (if you were out):

Here are the answers to the "AP MC: Ch. 19 and 20," our group work from Friday, 3/9:

1. E
2. E
3. C
4. E
5. E
6. E
7. E
8. B
9. A
10. D
11. D
12. A
13. D
14. B
15. C

And here are the answers to Thursday's homework, "Ch. 21: Types of Error" worksheet: