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 appletThursday (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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