But first, a few reminders to wrap up the 3rd quarter:
- If you were out today please remember to bring your stamps tomorrow (or you'll earn a 0, and this is a biiiiig classwork grade)
- If you did not have the hw due today (crows problem and scored) you can show me tomorrow for full credit (check the previous blog post)
- If you find any more stamps tonight bring those tomorrow too!
- If you have any tests (like Tuesday's) or quizzes to make up they must be done by 2:10 tomorrow
Thursday HW: Please complete and score the 2008 (Form B) Free Response provided in class (or below).
- 1/2 credit = complete the FR
- 1/2 credit = Score
- Use the answer key posted below (rather than the AP rubric) to grade your work
- Part (a) = "new stuff" (kinda)
- One "observation" is one piece of data--so the total number of "observations" we can afford is the sample size we can afford
- There are two ways to approach this...
- One way is to find the necessary sample size (n) to achieve the given a margin of error, then decide if we can afford that sample size...
- We'll use the same conceptual approach as finding n with proportions, but the formula for standard deviation is different (no more p's....)
- We can't find t* without sample size, so you'll just use z* for your critical value in this case
- Be sure to write a sentence that answers the question!
- Part (b) = think about your answer to (a)!
- Part (c): "statistical support' and "statistical evidence" imply a hypothesis test!
- Hypotheses, Conditions, Math, Interpret here....
Today's Class Recap:
- Stamp = Error Analysis for a t-test, t-interval
- Stamps were collected for the 3rd quarter
- HW Questions?
- What changes with our interval formula (with a t-interval)?
- The T-Distribution (Notes):
- What is the t-distribution? Why do we need it?
- How do we calculate degrees of freedom?
- How does df affect the shape of a t-distribution?
- When do we use a t test/interval for means?
- When do we use a z test/interval for means?
- Tomorrow's Focus: (top 2, middle left slides)
- Finding n with means (questions about 2008 part a + stamp)
- How do we find critical values for the t-distribution?
- How do we calculate p-values for the t-distribution?
- How do critical values/p-values compare for t distributions and the Normal model?
- What if we want to do a t-test/interval but the sample size is less than 20 and we're given the data set?
Here's Thursday's HW:
And here's the key to grade yourself after you complete the question:
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