Today was the first day of the rest of AP Stat! The conditions we discussed today will show up in every chapter for the remainder of our course--and Statistical Inference makes up 40% of the AP exam! Today is a fresh start for us all--take advantage of that! Be focused, do your homework, come to class ready to work hard and learn, and stay positive!
Tonight, please complete the following in your textbook--you should check the conditions for these contexts and name the appropriate sampling distribution!
Page 428: 7b, 11, 23, 35
- I would recommend reading the "Assumptions and Conditions" sections on pages 413 and 422 before you do your homework (this will give you more info about the conditions and why we check them)
- For 23 just check the conditions--ignore the 68/95/99.7 rule (for now)
- For 35 ignore questions a, b, c -- I want you to check that the conditions are met (and name the appropriate sampling distribution)!
Use the writing templates below to help when checking your conditions:
- Random Sample: our sample should be collected randomly, or treatments should be assigned at random
- If it's stated that the sample was collected randomly...
- "The sample of __(define sample in context)_____ was collected randomly."
- If it's not stated that the sample was collected randomly...
- "We can assume our sample of ____(define sample in context)___ was collected randomly."
- 10% Condition: sample size must be less than 10% of population size
- "Our sample of ___(sample in context)___ is (likely) less than 10% of ___(population in context)____."
- Sampling Distribution For Means: Large Enough Sample Condition
- "Our sample of ___(define sample in context)____ is large enough."
- Sampling Distribution for Proportions: Success/Failure Condition
- No writing here, this is a math one--check that np>10 and n(1-p)>10
- Subsitute the numbers--don't just write np>10 and n(1-p)>10!
Tomorrow we'll explore what a sampling distribution actually is, and then we'll start to get into some math over the next few days--see you there!
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