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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!





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