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Thursday, February 27, 2020

Quiz Tomorrow--READ THIS POST

No weekend homework! (Unless you have to complete anything below.

The extra credit homework, Weds/Thurs review/practice quiz hw, and any other CI homework will be check Monday in class.


1.) I will accept any confidence interval homework that you have missing tomorrow for full credit.


2.) Thursday's HW = Review for Quiz!

3.) QUIZ Friday!
  • Tomorrow's quiz will NOT be the full period...
  • There is NO VOCAB SECTION for tomorrow's quiz
    • We will take the ch. 19 vocab quiz to start class on Monday or Tuesday (either works for me)
  • Tomorrow's Quiz = 23 minutes
    • 4 AP MC (2.25 min each)
    • 1 AP FR (13 minutes)
4.) STUDY!
  • Do tonight's homework
  • Look over the 2017 FR you completed with the sub and score it!
  • Check your answers to the free response (about dog owners) from class today!
    •  a.) About 95% of confidence intervals created from same size samples of households will contain the true proportion of households in the county that own at least one dog. 
    • b.) The interval (0.298, 0.536) does not provide evidence that the proportion of dog owners in its county is different from the claimed national proportion of 39% because 39% is inside the interval.
    • c.) Equation: 0.119 = 1.96sqrt(.417*.583/n); n = 66 households
      • Note: .119 = ME and 0.417 = p-hat
      • If you use p-hat = 0.5 you get a "P" for this section and n = 68
  • Try the questions on the back!
    • 1.) C
    • 2.) D
    • 3.) z* = 1.501; C. Level is somewhere between 80% and 90% confidence
      • You should be able to solve for z*, then look at the table--we'll talk about how to get the exact confidence level at some point in the future since there isn't really anything close to the z* you get in the table
  • Do the extra credit HW! 
    • Pages 447-449:
      • 9 (interpret interval)
      • 13 (full interval process, interpret c. level, use interval to test a claim)
      • 33 (finding sample size)
      • 37 (find c. level)

Wednesday, February 26, 2020

Tonight's HW = Review for Quiz!


(This past) Monday's HW (can be checked tomorrow for full credit):
  • Pages 446-449:  7, 11ac, 23abc, 31a
    • Note: for 23, a quiz question would only say "estimate the proportion of students nationwide who are only children." You would then have to know to do the conditions (a), math (b), and interpret the interval (c).


Extra Credit HW = extra practice for quiz! (due Friday):
  • Pages 447-449:
    • 9 (interpret interval)
    • 13 (full interval process, interpret c. level, use interval to test a claim)
    • 33 (finding sample size)
    • 37 (find c. level)

Here's the plan for the rest of the week:
  • Thurs (2/27): stamp + more classwork/practice for quiz!
  • Friday (2/28): ch. 19 quiz = vocab MC, AP FR, and AP MC (full period quiz). Come ready.
  • Monday (3/2): start ch. 20 --> hypothesis tests for proportions!

Monday, February 24, 2020

Monday HW!

Tonight's HW is in your textbook....
  • Pages 446-449:  7, 11ac, 23abc, 31a
    • Note: for 23, a quiz question would only say "estimate the proportion of students nationwide who are only children." You would then have to know to do the conditions (a), math (b), and interpret the interval (c).

Extra Credit HW = extra practice for quiz! (due Friday):
  • Pages 447-449:
    • 9 (interpret interval)
    • 13 (full interval process, interpret c. level, use interval to test a claim)
    • 33 (finding sample size)
    • 37 (find c. level)
Here's the plan for the rest of the week:
  • Tues (2/25): AP FR and AP MC (classwork in groups)
  • Weds (2/26): notes/discussion --> interpreting C. level and using an interval to test a claim
  • Thurs (2/27): stamp = connecting critical values to invnorm/normalcdf, then some more classwork/practice
  • Friday (2/28): ch. 19 quiz = vocab MC, AP FR, and AP MC (full period quiz)
  • Monday (3/2): start chapter 20 (hypothesis testing!)

Friday, February 21, 2020

Weekend HW!

Due Monday: 2 assignments!
*These will be checked/graded as 2 separate HW assignments

1.) Please complete the "middle right slide" you have--it's the question below. You can do this in your notes!

  • This is something we haven't seen in class--your job is to figure it out! Try SOMETHING! Blank = 0 on HW!
  • The Question: (if you don't have the slide just write this in your notes)
  • Here's a little visual that might help you in your approach to the question above....




2.) Please complete the "Understanding CI Formula" worksheet provided in class Thursday or linked below. 
  • Understanding CI Formula HW (Click Me...seriously....do it!)
  • For the first part of 7 you're just showing the "math work"--the calculator screen and formula, you don't have to interpret or check conditions
  • For the second part of 7: "Does the 99% confidence interval provide evidence that the state will legalize sports betting? Why or why not?"....
    • Consider your interval....
    • Now think about this: what % of people would have to vote in favor of sports betting for it to be legalized?
    • Does our interval definitively suggest that the % who support sports gambling meets that criteria?
    • This is not a long explanation--one sentence here.....here's a template:
      • "Yes/no the 99% CI does/does not provide evidence that the state will legalize sports betting because......."
  • ALWAYS CHECK YOUR ANSWERS!
    • 1.) 0.0503 or 5.03% = ME
    • 2.) n = 812 --> D (always round/go up)
    • 3.) z* = 2.3295, closest to 98% confidence
    • 4.) C
    • 5.) n = 291 (always round up)
    • 6.) ME = 0.03588 or 3.588%
    • 7.) 1 Prop Z Int = 49.124% to 56.876% 
      • See full key for full answer....
    • Full Answer Key with All Work Shown:

Thursday, February 20, 2020

Thursday HW = Math Stuff!

**NO HOMEWORK DUE TOMORROW ...kinda. I'm going to push this assignment back to be due on Monday, but I am also going to give you a little bit more tomorrow...

Tonight, I would....
1.) Do #'s 1, 4, 6, and maybe 7
2.) Do the bonus stamp


Want to earn +3 bonus stamps? ONLY ACCEPTED TOMORROW (Friday)
  • Figure out how to do #5--finding sample size given ME!
    • If you do this you can also apply this strategy to #3!
  • You can see an example in your textbook on p. 442 in the "choosing your sample size" section...
  • Or, Google it! "how to find n given margin of error for proportions"
  • Or, watch YouTube: "how to find n given margin of error for proportions"
  • Your final answer will be one number...circle it...

Due Monday: 

1.) Please complete the "Understanding CI Formula" worksheet provided in class or linked below. 
  • Understanding CI Formula HW (Click Me...seriously....do it!)
  • You can skip #5 (we'll look at this type of problem in class tomorrow); or, teach yourself how to do it for bonus stamps!
  • The answers to questions 1, 2, 3, and 6 are all numbers! Do math and stuff!
  • For the first part of 7 you're just showing the "math work"--the calculator screen and formula, you don't have to interpret or check conditions
  • Some HW Tips--try on your own first, then check here...
    • #'s 1 and 6 = calculate ME (like that slide from class)--use your notes!
    • For #2 I would use an SAT style strategy...you're given the margin of error you need; try plugging in your options for n to see which is the SMALLEST sample size that leads to a ME of 4%
      • ME = the "within 4%"....
    • For #3: this time you're given ME, n, and p-hat; to find the confidence level you'll need to solve the equation for z*, then use the table to see which confidence level you're closest to
    • For the second part of 7: "Does the 99% confidence interval provide evidence that the state will legalize sports betting? Why or why not?"....
      • Consider your interval....
      • Now think about this: what % of people would have to vote in favor of sports betting for it to be legalized?
      • Does our interval definitively suggest that the % who support sports gambling meets that criteria?
      • This is not a long explanation--one sentence here.....
2.) Please complete.....

Wednesday, February 19, 2020

Wednesday HW

Wednesday's HW = Confidence Intervals Practice!
  • Confidence Intervals Intro HW (Click Me and do yo' HW!)
  • Questions a, c, and e are things we've done either today or in our notes...you got those
  • For question b--read the context! What is the question asking? Also consider WHY we use confidence intervals (the first thing you wrote in your chapter 19 notes about confidence intervals)
  • For question d: the math...
    • This is based on two things: using your graphing calculator and what we learned today....
    • First, create the confidence interval on your graphing calculator; copy the entire output screen on your paper--the name of the interval, the interval itself, p-hat, and n
    • Next, SHOW THE FORMULA we developed today with correct values substituted...
      • Substitute the values of p-hat and n in all appropriate places
      • The value of z* for this context is 1.645. We'll learn how to find this number tomorrow.
ALWAYS check your answers! Here's a key to the homework:
If you were out today, here's the classwork we did--get this done and you'll be all caught up!


Friday, February 14, 2020

Happy Valentine's Day! (+ Feb. Break)

Happy Valentine's Day ya'll! Enjoy it--do something nice for your valentine, whether it's your boyfriend/girlfriend, a friend, your mom, aunt, dad, whoever--Valentine's Day isn't just about a significant other! 

Ok, on to the good stuff...the AP Stat stuff....

*Juniors (and any other absent people): Today we ONLY discussed the "AP Stat Stamp = Review!" worksheet I gave you, we DID NOT do the "Confidence Intervals Intro"--that will actually be Wednesday's HW.
  • Be sure to check out the bottom of this post for the notes about the review stamp AND for some notes that will help with your take home quiz!
Weekend HW = TAKE HOME QUIZ
  • February Break Take Home Quiz (Click Me Party People!)
    • This quiz has a blend of sampling distribution questions, some confidence interval questions, and even a little review mixed in! 
      • Part of your challenge will be determining what each question is about!
    • Ace this! Use your notes!
    • Good luck!
Want to get ahead? Yes, you do! Here's Monday's homework--you can do it all already!
Do something fun this weekend. Do something for someone else this weekend. Go outside. Spend some time alone. Spend some time with friends. And spend some time with family.

For real though, have an amazing break. I'm VERY pleased with the work we've done over the past 3 weeks, and I'm completely confident we can continue to do a great job. I know sometimes I'm tough on you, maybe even a jerk sometimes (definitely a jerk sometimes), but I hope you realize it's only because I'm trying to push us all to be better, always. That's what life is all about--learning from our experiences and getting better as students, as people, as learners, as friends, and so on.

I've really, really enjoyed coming to school each day and working with you all. Thank you for that. I appreciate your effort, your positive energy, and your commitment to success. And I cannot say thank you enough for the fact that I get to look forward to class with you each day--I'm a lucky teacher!

See you all next week. Time for the reallllll grind--the long stretch from Wednesday until April break. We have to kill it--this stretch will be a major determining factor for our performance in May. Come back refreshed. 

Do something fun this weekend. Do something for someone else this weekend. Go outside. Spend some time alone. Spend some time with friends. And spend some time with family.

*Juniors (and any other absent people): NOTES and stuff



Look at this for some help with questions 4a, 4b, and 6b on your take home quiz!




Thursday, February 13, 2020

Thursday HW

Homework (due tomorrow!)
  • Always check your ************ answers so you know if you're doing everything right! And then, if you got something, go back and figure out your mistake--that's how you learn stuff!

Weekend HW = TAKE HOME QUIZ
  • February Break Take Home Quiz
  • This quiz has a blend of sampling distribution questions, some confidence interval questions, and even a little review mixed in! 
  • Ace this! Use your notes!
  • Good luck!

Wednesday, February 12, 2020

Weds = Study Vocab + HW

1.) Tomorrow we will start class with a chapter 18 vocab quiz! Study!
  • Student: Why is this dude giving us so many quizzes?
  • Carofano: Gotta keep you all on top of your game. This is our last full quarter before our AP exam. This will be what the rest of AP Stat looks like. Stay on top of your homework. Ask questions. Come for help. "Thrive," as Zenia says.
  • Here's your chapter 18 vocab list (with definitions):
    • Remember, the vocab quiz will be all multiple choice
    • ID Statistic or Parameter
      • There will be two questions that ask if a given value is a statistic or parameter!
      • Look at the quiz I passed back today! Or we had a homework last week about this!
      • statistic: about a sample
      • parameter: about a population
    • Sampling Variability 
      • the expected differences we see in sample statistics from sample to sample
    • Standard Error
      • *this did not come up in our notes--this is more of a ch. 19 word
      • "an estimated standard deviation of a sampling distribution, calculated using sample statistics (rather than population parameters)
    • Sampling Distribution:
      • a plot of sample statistics taken from repeated random samples (of the same size)
    • Central Limit Theorem:
      • the sampling distribution for means (but it's also true for proportions) is approximately Normal for a large sample
    • Know that as sample size increases the standard deviation of the sampling distribution decreases
    • 10% condition (how to check it)
      • the sample size must be less than 10% of the population size
    • Sampling Distribution for Means
      • is used with quantitative data
    • Sampling Distribution for Proportions
      • is used with categorical data
    • Know which 3 conditions are checked for a sampling distribution for means
      • 10% condition
      • Large enough sample
      • Randomization condition
    • Know which 3 conditions are checked for a sampling distribution for proportions
      • 10% condition
      • Success/failure
      • Randomization condition
    • Why do we check the randomization condition?
      • so we can be sure the sample is representative of the population
    • Why do we check the success/failure (np>10, n(1-p)>10 )condition?
      • so we can know our sample is large enough
2.) Homework (due tomorrow or Friday):
  • Always check your ************ answers so you know if you're doing everything right! And then, if you got something wrong, go back and figure out your mistake--that's how you learn stuff!
    •  (Key will be posted tomorrow)

3.) Weekend HW = TAKE HOME QUIZ
  • Focus:
    • Ch 18: Sampling Distributions
    • Ch. 19 Intro: 
      • Conditions for a one-prop z interval
      • Creating interval on calculator
      • Interpreting the confidence interval
      • Why do we use confidence intervals?


Tuesday, February 11, 2020

Tuesday HW = Sampling Distributions!

1.) Tomorrow we will start class with a 5-8 minute quiz--the quiz is entirely focused on the conditions.

  • Be sure to name the type of sampling distribution
  • Review your notes--know how to check conditions for either type of sampling distribution
  • Review the warmup about "which conditions fails?" 
  • Quiz:
    • 1 open ended: determine if a sampling distributions for means or proportions is appropriate (check conditions!)
    • 2 more: determine which conditions fails
2.) Tuesday's HW = finish today's classwork!
  • More Sampling Distributions! (HW. You--click me!)
  • Remember...
    • A question uses the sampling distribution for means ONLY if the question is focused on the MEAN of a sample!
      • There is one question on here that does not require the use of a sampling distribution....
  • Check conditions for #4!
  • Skip conditions for any multiple choice!
  • #7 is something new...here's what to do:
    • Assume that sigma = 1 (or any other number) and assume we use a sampling distribution for means (because that formula is easier to work with)
    • Calculate the standard deviation of the sampling distribution for means with sigma = 1 a sample size of 50.
    • Now, calculate the standard deviation with sigma = 1 and n = 200.
    • How did the standard deviation change? 
    • This is an idea called "diminishing returns" that we'll quickly discuss tomorrow.
3.) Textbook HW Questions and Some Notes....

  • 2010 AP FR (from class);

    • 2 HW questions (last night's HW)



4.) Tomorrow's HW = more sampling distributions!

Monday, February 10, 2020

Monday HW = Math Problems! (and some conditions...)

Monday HW: tonight, please complete the following in your textbook...

  • Pages 429-431: 15, 17, 25, 35
    • Skip conditions for 15 and 35 
      • This means you DO have to check conditions for 17 and 25c
      • Remember, any time we want to use a sampling distribution we HAVE to check conditions--it's on us to remember that!
    • For #15...
      • Think: if the newspaper's sample is going to lead them to "predict defeat," that's the same thing as saying the "% of the sample who support the budget is below 50%...."
    • For #17...
      • p = 0.08%--the "true" % of all apples on the truck that do not meet the standard
    • For #25...
      • I love this one because here (a-d) we have a blend of some questions that do require the sampling distribution (for means) and some that do not require a sampling distribution--part of your challenge is to decide when you'll need the sampling distribution....
      • For 25c when it asks to give the "model, mean, and standard deviation," you can just list the shape, the number in the middle of the model = mean, and calculate the standard deviation. AND CHECK CONDITIONS!
    • For #35...
      • We already checked conditions for this context in a previous HW
      • 35a.) "What's the approximate model" means list the shape, center (a #), and spread (calculate st. dev.)
    • Normalcdf v. Invnorm reminder....
      • 25 and 35 include both of these....
      • Remember, if you want to find a probability/% using a Normal model/sampling distribution, use normalcdf...
      • If you want to find a "cutoff value" given a percentile/% above/% below then you use invnorm...
        • For invnorm: area = % left (in decimal form)

Friday, February 7, 2020

Weekend HW!

1.) If you were out this past Tuesday you have to make up your test Monday! (free period or after school).

2.) If you were out TODAY you have to MAKE UP YOUR QUIZ on Monday! 

This weekend please complete the following in your textbook:

Page 428-: 7a, 9a, 21b, 23, 

  • For 7a, 23: We already checked the conditions for these contexts; your job is to calculate the standard deviation of the sampling distribution (using the formula for st. dev. from today's notes), and then sketch the 68/95/99.7 rule.
  • Use the examples of this rule I provided in class today (or linked below)
    • If you were out use these examples to figure out your HW!
  • For 9a just state the mean (center of the sampling distribution) and calculate the standard deviation
  • Here is a link to the 68/95/99.7 rule with sampling distributions that we got today in class:

Want to learn more about sampling distributions--or to try to clarify some of the things we discussed today? Check out these AP Stat Guy videos!


Here's the tentative plan for next week leading into our mini-February break:
  • Monday = HW questions + do some sampling distributions math
  • Tuesday = sampling distributions classwork
    • We will start class with a warmup quiz--checking conditions--either Tuesday or Wednesday 
  • Wednesday = finish sampling distributions/start confidence intervals
  • Thursday = confidence intervals notes
  • Friday (half day) = work on ch. 18/19 take home quiz
    • All juniors will be taking a practice SAT; the rest of us will work on this take home quiz in class
    • So yes, we will have a take home quiz over the February break.

Thursday, February 6, 2020

Thursday HW!

Two things to consider tonight....

1.) Tomorrow we will start class with a 7ish minute quiz: it will be just like Tuesday's HW
  • Given a context determine if a value is a statistic or parameter, and provide the symbol
  • Identify the sample
  • Identify the population
  • Know the difference between x-bar and mu, or between p-hat and p, or between Sx and sigma.


2.) Homework: -please use the sampling distributions applets linked below to complete the investigation we started in today's class:
    • Exploring a Sampling Distribution for Proportions (questions 1-5)
      • For the first five questions (what we started today) use the applet linked below:
      • General things to notice:
        • what is the shape of the sampling distribution?
        • where is the center of the sampling distribution?
      • Goal of questions 1-3:
        • How does increasing sample size affect the shape and spread of a sampling distribution?
        • How does decreasing sample size affect the shape and spread of a sampling distribution?
      • Goal of question 4: which condition used with a sampling distribution for proportions would this connect to?
      • Goal of question 5: what happens to the sampling distribution if we change the value of p?
        • Change the value of p (probability of orange)
        • Use a larger sample size
        • Take many many samples--what changed with your sampling distribution?
          • Focus on the center of the sampling distribution...
    • Exploring a Sampling Distribution for Means (questions 6-8)
      • The process is essentially the same as the one we outlined in class for a sampling distribution for proportions--but instead of calculating a sample proportion we'll calculate a sample mean (x-bar)
      • Use the applet linked below:
      • First, click begin and just play with the applet
        • We can create two sampling distributions (the bottom two graphs) if we like, but we only need one
          • Set the bottom graph to "None" in the drop down menu
          • Set the 3rd graph to "means" (we want to make a sampling distribution for means)
          • Set a sample size 
        • If you click "Animated" you'll see a sample being taken from the population (the black graph at the top); then, a blue bar pops down on to third graph--this blue bar is the sample mean being calculated, and so the blue graph will be a plot of the sample means--our sampling distribution
        • You can click the "5" button to take 5 samples at a time and plot 5 sample means at a time rather than seeing everything animated.
        • Or, click the "10,000" or "100,000" to see 10,000 blue bars plotted at a time
      • What is the shape of the sampling distribution for means?
      • Now, explore the effect of sample size...(question 7)
        • Increase your sample size--how does increasing sample size affect the shape and spread of the sampling distribution for means?
      • Lastly, let's see what happens if we change the the shape of the population (question 6)
        • Change the shape using the drop down menu
        • Create a sampling distribution with thousands of sample means
          • What is the shape?
      • Question 8: you can't actually use the applet to do this, so you'll have to hypothesize....

    Wednesday, February 5, 2020

    Wednesday HW!

    1.) If you have not given me your take home test I need it TOMORROW. If not, you have a zero. Forever.

    2.) If you were out yesterday please make up your test during lunch, study hall, or after school by the end of Monday. (I will be after school tomorrow, Friday until 3:00, and Monday, or come during any FREE period). 

    Tonight your homework is in the textbook--we haven't looked at that thing in a while!

    Wednesday's HW:
    • Your task is to CHECK CONDITIONS for each of the contexts AND NAME THE TYPE OF SAMPLING DISTRIBUTION
    • Pages 428-431: 7b, 11, 23, 35 (or I posted the questions below).
      • For 23 ONLY check the conditions
      • For 35 you can ignore parts a,b,c--simply use the given context and check if the conditions have been met
    • Want to read more about how/why we check conditions? Read the "Assumptions and Conditions" section at the bottom of p. 422
      • You can also see some examples of these conditions in the "Step by Step" example on p. 423 (ignore the "Independence Assumption")
    • Always check your answers!
      • Here's a link to a key that has the answers written more in our style; the back of the book has kinda garbage answers
      • Textbook HW KEY (Conditions)

    Wednesday's Notes: Checking Conditions (this is what your homework is about!)

    • These slides may have some notes/details that we did not include in your period.
    • If you ADD any additional info to your notes (that we didn't write in your class period) I will give you a stamp tomorrow!






    Tuesday, February 4, 2020

    Tuesday HW!

    Tonight's HW:
    • Please complete the "Statistic or Parameter?" worksheet provided in class or linked below.
    • For each letter simply state whether the value described is a statistic or parameter AND be sure to provide the correct symbol.
    • Use your notes!
    • *There is no symbol median (letter e on the HW)
    • I did not provide answers for you to check your HW tonight; we'll quickly discuss them tomorrow.
    • Statistic or Parameter? HW

    Out Yesterday?
    • Yesterday (Monday) in class we started to introduce our new stuff--statistical inference and sampling distributions!
    • There were lots of notes so be sure to get those from a classmate!
    • Tomorrow we'll get more into that stuff, so be sure to get the notes from a classmate!


    Extra Credit FR (due tomorrow but for real this time):
    • You can complete question 2 (on the back of last night's homework) for extra credit!
    • You must have the correct answers for extra credit!
      • Part A = create a segmented bar graph!
        • The "relative frequency" is the same as the "%" (look at how the y axis is labeled numerically)
      • Part B = math question!
        • Use proportional reasoning to determine how many people we should sample that said "yes" if we're sampling from the 300 ppl who said "yes" or "no."
        • Your answer is a #! "_____ people."

      Monday, February 3, 2020

      TEST TOMORROW!

      Any outstanding/missing/late homework assignments from the past week can/must be turned in by TOMORROW for credit. ALL homework must be graded using the keys on the blog for credit. (See past blog posts for each assignment). 


      STUDY FOR TOMORROW'S TEST! How, you ask?

      1.) Complete your take home test!
      • Collecting Data Take Home Exam
      • Use your notes, textbook, and other resources! Take advantage of this opportunity to start the quarter with a strong test average!
        • There is especially NO reason to get any of the vocab matching wrong!
      2.) Be sure to look over/use all of the FR/MC/Examples we've completed in class this past week to prepare for our test!

      3.) Know your vocab (and other stuff to know for the test):
      • You should definitely read the sample responses from Friday's FR linked below
      • Check out the bottom of this blog post for some notes/examples from Weds-Fri
      • Be sure you know how each sampling method is conducted (stratified, cluster, SRS, systematic, census)
        • Also be able to write a detailed procedure for a sampling method!
      • What is bias? + be able to describe bias, in context (like the 2013 FR HW)
      • Types of bias: know the 4 types and their definition
      • Population v. Sample
      • Experiment v. Observational study? Know how to recognize each (like the Method I/II FR from Thurs. night)
      • Know why we stratify--advantage of a stratified sample
      • Choose a variable to stratify by and explain why
      • For experimental design:
        • Explanatory Variable, Response Variable, Experimental Units, Treatments
        • Know how a blocked experiment works (same idea as stratifying, just a different name)
          • Choose a variable to block by and explain why (again, same idea as stratifying, just a different name)
        • Know how to randomly assign treatments for an experiment (write a procedure)
        • Blinding--know what it is! Look at that "ultrasound" HW we had...

      Extra Credit FR (due Tuesday because I forgot to collect it today):
      • You can complete question 2 (on the back of last night's homework) for extra credit!
      • You must have the correct answers for extra credit!
        • Part A = create a segmented bar graph!
          • The "relative frequency" is the same as the "%" (look at how the y axis is labeled numerically)
        • Part B = math question!
          • Use proportional reasoning to determine how many people we should sample that said "yes" if we're sampling from the 300 ppl who said "yes" or "no."
          • Your answer is a #! "_____ people."

        Notes/Resources for Weds-Fri:
        • Friday: we completed the 2011 FR (linked below) in class; take a look at some sample answers too!
        • Thursday: we completed the linked classwork assignment; this was collected and graded. If you were absent, use the notes below to complete this and turn it in tomorrow. You can print it or write your answers on separate paper.
        • Here are Thursday notes--definitions for each type of bias:

        • Here is another resource we used Thursday--definitions for the "parts of an experiment" and the example from our midterm exam--this is definitely something to use for Tuesday:

        • And here are our examples from Wednesday's class/discussion/note: writing about bias