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Monday, February 11, 2019

Take Home Quiz and Vocab Quiz!

Tonight you have 2 responsibilities:

1.) Complete your take home quiz (see below if you were out)
  • Get this done tonight! Don't wait and hope for a snow day then end up getting a 0! Be responsible!
2.) STUDY--we will start class with our chapter 18 vocab quiz tomorrow (or the next time I see you)!
  • Quiz = 15 matching vocab AND....
  • 2 contexts where you have to determine which condition does not pass....
  • Here's the chapter 18 vocab list:
    • Sampling Distribution
    • Sample Statistic
    • Population Parameter
    • Sampling Variability
    • Sampling Distribution for Means (for what type of data)?
    • Sampling Distribution for Proportions(for what type of data)?
    • Know which conditions we use for each type of sampling distribution
    • 10% Condition: how do we check it and why do we check it?
    • Success/Failure Condition: how do we check it and why do we check it?
    • Randomization condition: how do we check it and why do we check it?
    • Large Enough Sample condition: how do we check it and why do we check it?
    • Standard Error
    • Central Limit Theorem
    • Know how changing sample size affects standard deviation
Here's the take home quiz in case you lost yours or were out:


Today's Class Recap:
  • Stamp = Sampling Distribution Math!
  • Wrapped up  ch. 18 Notes:
    • Definition of a sampling distribution
    • When do we use sampling distribution formulas?
    • Looked at an example of the 68/95/99.7 rule with sampling distributions
    • Discussed/explored how increasing/decreasing n affects standard deviation
      • Also discussed "diminishing returns"
  • Intro to ch. 19 (notes):
    • What is a confidence interval?
    • Why do we use a confidence interval?
    • What are the steps for any confidence interval free response? 

Friday, February 8, 2019

Weekend HW = 2 Tasks...
  • *Chapter 18 Vocab Quiz will start class Tuesday!
  • 1.) Complete the "bottom left slide" examples a and b. 
    • Do the math, show the work, and check your answers below!
    • I would recommend glueing? gluing? in the slide and putting this in your notebook!
    • Answers:
      • a.) 0.9495
      • b.) 0.10565
  • 2.) Page 429-431: 15, 17, 25, 27, 35, 
    • We should first check the conditions for each of these problems--but for this homework you can skip those and focus in on the math (otherwise this would take forever)
    • For #15 we're asked for the probability that the newspaper's sample will predict defeat...
      • This is the same as asking for the probability that the "% of the sample that support the budget is less than 50%" (because if less than half of the people support the budget it will be defeated)
      • Any time we have to find a probability using a "% of a sample" we have to use a sampling distribution!
    • For #17 we want to find the probability that the shipment will be accepted---this is the same as asking if the % of the sample that do not meet the standard is less than 5%!
      • Since we're asked for a probability in regard to the "% of a sample" this is a sampling distribution question!
    • For 25 consider yesterday'sexamples with rainfall amounts--not all parts (a,b,c,d) require the use of a sampling distribution!
      • For 25c it asks you to "define the model"--this simply means to provide the shape, the value of the mean for the sampling distribution, and the value of the standard deviation for the sampling distribution
    • Here's an example to help with the type of math in 15, 17:

On Monday we'll wrap up chapter 18 and "cross our t's and dot our i's" as they say, finishing up with some more vocab and a couple more examples.

Then, on Tuesday we'll start with our chapter 18 vocab quiz before starting our exploration of confidence intervals (can't wait)!

Here's the chapter 18 vocab list so you can start studying:
  • Sampling Distribution
  • Sample Statistic
  • Population Parameter
  • Sampling Variability
  • Sampling Distribution for Means (for what type of data)?
  • Sampling Distribution for Proportions(for what type of data)?
  • Know which conditions we use for each type of sampling distributino
  • 10% Condition: how do we check it and why do we check it?
  • Success/Failure Condition: how do we check it and why do we check it?
  • Randomization condition: how do we check it and why do we check it?
  • Large Enough Sample condition: how do we check it and why do we check it?
  • Standard Error
  • Central Limit Theorem
  • Know how changing sample size affects standard deviation
Have an awesome weekend!

Thursday, February 7, 2019

Thursday HW!

Everyone check out the slides/notes at the bottom of the post (especially if you were out)--there are some little details that were covered in one class but not another, so take a look!

Thursday HW: **Since we had to rush at the end of class today I'm going to push the due date for this to Monday--however, you WILL be given some other homework this weekend, so it's up to you if you start it tonight or this weekend.**
  • Page 429-431: 15, 17, 25, 27, 35, 
    • We should first check the conditions for each of these problems--but for this homework you can skip those and focus in on the math (otherwise this would take forever)
    • We're finally doing (some) math problems again!
    • Use today's rainfall example in your notes for help with 25, 35
    • Use the image below for help with 15, 17
    • For #15 we're asked for the probability that the newspaper's sample will predict defeat...
      • This is the same as asking for the probability that the "% of the sample that support the budget is less than 50%" (because if less than half of the people support the budget it will be defeated)
      • Any time we have to find a probability using a "% of a sample" we have to use a sampling distribution!
    • For #17 we want to find the probability that the shipment will be accepted---this is the same as asking if the % of the sample that do not meet the standard is less than 5%!
      • Since we're asked for a probability in regard to the "% of a sample" this is a sampling distribution question!
    • For 25 consider today's examples with rainfall amounts--not all parts (a,b,c,d) require the use of a sampling distribution!
      • For 25c it asks you to "define the model"--this simply means to provide the shape, the value of the mean for the sampling distribution, and the value of the standard deviation for the sampling distribution
    • Here's an example to help with the type of math in 15, 17:


Today's Class Recap:
  • Stamp = What shapes would sampling distributions for minima, maxima, or medians have?
  • Back to ch. 18 Notes:
    • The Central Limit Theorem--what is it? (vocab)
    • Understanding spread: how does the variability (spread) of individual data values compare to the variability (spread) of sample statistics?
      • Connect to formulas for sampling distributions
    • Defined the sampling distribution models (shape, center, spread) for sampling distributions for means, proportions
    • Discussed: when do we use sampling distribution formulas?
      • Middle left slide
      • Also calculated each of these probabilities after discussing which question requires the use of a sampling distribution and why
  • Here are the links to the applets we explored in class the past couple days in case you'd like to explore a little more about sampling distributions!

Here's the plan for the coming days, in case you're curious:
  • Wednesday (2/6) = more sampling distributions discussion, another applet
  • Thursday (2/7) = define shape, center, spread of each sampling distribution, sampling distributions examples 
  • Friday (2/8) = more sampling distribution notes/examples (math problems!)
    • HW = study vocab AND ch. 18 take home quiz
  • Monday (2/11) chapter 18 vocab quiz, sampling distribution FR and MC
  • Tuesday (2/12) = chapter 19 intro notes (confidence intervals!)
  • Weds. (2/13) to Friday (2/15) = chapter 19 notes/discussion/examples: confidence intervals for proportions!
Lastly, here are lots of notes from today since we had so many people in NAEP testing!





Wednesday, February 6, 2019

Wed nes day

This feels weird....there is no homework tonight.....


So what should you do? 
  • Get stamps! Complete the "check conditions" additional stamp I provided in class today
    • Do it = 1 stamp
    • Check answers below and grade yourself/make corrections IN A DIFFERENT COLOR= 1 stamp
      • No different color, no extra stamp
    • Extra extra stamp question:
      • Define the parameter (of interest) that the professor would want to estimate and provide the symbol
      • Define the sample statistic calculated (in words) and provide the symbol for this
      • These answers are not provided, I'll take a look tomorrow...
    • Extra Stamp Answer Key:
      • This is a random sample of 244 students at his college.
      • (244)(0.44) = 107.36 is > 10
      • (244)(1 - 0.44) = (244)(0.56) = 136.64 is greater than 10
      • 244 is probably less than 10% of all students at this college.
      • A sampling distribution for proportions is appropriate.
        • *Be sure to name the type of sampling distribution!
  • Get more stamps! 
    • I've extended the AP Stat Guy stamp opportunity--this will not only get you some stamps (3), but it'll also help to strengthen your understanding of what a sampling distribution is!

Today's Class Recap:
  • Stamp = Conditions practice -- determine type of sampling distribution and why it cannot be used (which condition fails)
  • Back to ch. 18 Notes:
    • What is a sampling distribution?
      • Back to our applets to (further) investigate how sampling distributions work--we used the applets to figure out....
        • 1.) How might our sampling distribution change if we used samples of size 1? Of size 5? 
        • 2.) What if we use larger samples--of size 100 (instead of 10)? How would this affect our sampling distribution? 
        • 3.) How can we connect this idea to our conditions (for proportions)?
        • 4.) What happens if we change our population parameter (p) to 0.75? To 0.25?
        • Means
        • 5.) What if the population is not a bell-curve?
      • Finished class by defining sampling distribution
    • Tomorrow it's on to some math and seeing how we use this stuff in practice!
  • Here are the links to the applets we explored in class today!

Here's the plan for the coming days, in case you're curious:
  • Wednesday (2/6) = more sampling distributions discussion, another applet
  • Thursday (2/7) = define shape, center, spread of each sampling distribution, sampling distributions examples (and the 68/95/99.7 rule) 
  • Friday (2/8) = more sampling distribution notes/examples
  • Monday (2/11) chapter 18 vocab quiz, sampling distribution FR and MC
  • Tuesday (2/12) chapter 18 "math" quiz? take home quiz?, chapter 19 intro notes (confidence intervals!)
  • Weds. (2/13) to Friday (2/15) = chapter 19 notes/discussion/examples: confidence intervals for proportions!

Tuesday, February 5, 2019

**If you were absent Friday I need you to make up your test tomorrow during lunch, study hall, or after school!**

Tuesday HW = conditions practice
  • Page 428:
    • 7b, 
    • 11 (just conditions), 
    • 23 (conditions), 
    • 29ab (this is review, like the elevator question from our weekend hw)
  • The answers for 7b, 11, and 23 are not worded well in the back of the book--use the back to check your general ideas are correct, and then tomorrow in class you'll get an answer key to check your context/detail more thoroughly

Today's Class Recap:
  • Stamp = Conditions practice (top right slide about gestation periods)
  • Ch. 18 Notes:
    • What is a sampling distribution?
      • Defined a sampling distribution
      • Outlined the process for creating a sampling distribution
      • Reviewed "sampling variability"
    • Looked at an applet (linked below) to explore how a sampling distribution is created, its resulting shape, and why it is expected to have this shape...
      • More to come on this tomorrow....
  • Here is the link to the applet we explored in class today, as well as an applet you can use to explore a sampling distribution for means!

Here's the plan for the coming days, in case you're curious:
  • Wednesday (2/6) = more sampling distributions discussion, another applet, define shape, center, spread of each sampling distribution
  • Thursday (2/7) = sampling distributions examples 
  • Friday (2/8) = finish sampling distribution notes/examples
  • Monday (2/11) = chapter 18 vocab quiz, sampling distribution FR and MC
  • Tuesday (2/12) = chapter 18 "math" quiz?, chapter 19 intro notes (confidence intervals!)
  • Weds. (2/13) to Friday (2/15) = chapter 19 notes/discussion/examples: confidence intervals for proportions!

Monday, February 4, 2019

Monday and Tuesday HW!

If you were out Friday you'll have to make up your "Methods of Data Collection" test by the end of the day Wednesday. See the blog post from 1/31 for test info.

Tonight please complete the "AP Statistics Review HW: Getting Ready for Sampling Distributions" packet provided in class! (or at the bottom of this post).
  • Be sure to show all work (as you would on an AP exam free response) for any question marked with a **
  • We'll be working with the Normal model a bit moving forward, so we have some Normal model review in this hw--use your chapter 6 notes if you get stuck
  • The last page has you introduce yourself to a little of our new "sampling distribution" stuff using the textbook...
    • Want to get ahead and have some time? Read all of chapter 18 in your book or in the 3rd edition PDF linked on the blog!
    • Orrrr watch some Youtube videos about sampling distributions!

Another Stamp Opportunity: 

Tuesday HW:
  • Tomorrow night we'll have some textbook homework--I may add a couple, but here are some problems from tomorrow's homework that you can do tonight if you'd like to get a head start:
  • Page 428:
    • 7b, 
    • 11 (just conditions), 
    • 23 (conditions), 
    • 29ab (this is review, like the elevator question from our weekend hw)

Here's the weekend/Monday homework--if you were out, answer these/show all work on separate paper for Monday!




Friday, February 1, 2019

Weekend HW!

If you were out today you'll have to make up your "Methods of Data Collection" test by the end of the day Wednesday. See the blog post from 1/31 for test info.

New stuff on Monday, and I can't wait! Back to some math and we're only one week away from creating our first confidence intervals....woooooo!

This weekend please complete the "AP Statistics Review HW: Getting Ready for Sampling Distributions" packet provided in class! (or at the bottom of this post).

  • Be sure to show all work (as you would on an AP exam free response) for any question marked with a **
  • We'll be working with the Normal model a bit moving forward, so we have some Normal model review in this hw--use your chapter 6 notes if you get stuck
  • The last page has you introduce yourself to a little of our new "sampling distribution" stuff using the textbook...
    • Want to get ahead and have some time? Read all of chapter 18 in your book or in the 3rd edition PDF linked on the blog!
    • Orrrr watch some Youtube videos about sampling distributions!
Another Stamp Opportunity: 
Oh, and one more thing....



Here's the weekend homework--if you were out, answer these/show all work on separate paper for Monday!