Official 2020 AP Stats Exam College Board Lesson #14 Sampling Distributions and Central Limit Theorem 4_23_2020

Hi all! 



That was a great lesson from Luke Wilcox!  Here are my take-aways and teacher comments:



Reminders

·         4 weeks of lessons and preparation for the exam is being taught/reviewed (recorded) M-F: 2-2:45 PM in these YouTube Lessons 😊  https://www.youtube.com/watch?v=prhkwrXTRWc&list=PLoGgviqq4845u-QDW3bikMhC4uQsuYDpy&index=22

• Lessons: April 6-10: Units 6-7 taught first because many schools either didn’t get to these entirely or at all (we did get through most of this); April 13-May 1: Units 1-5
• AP Stats Exam Friday May 22 from 2-2:45 EST
• All resources available at Statsmedic.com/youtube
• If you need a device take the Exam go to cb.org/tech

Last Night’s homework MC “concrete”:

• This is a nice reminder that we do NOT use add/subtract for standard deviation with an equation

Page #1 “Reese’s Pieces”(P-hat)

• Nice reminder that p (or Pi) is the symbol used for the TRUE proportion for the population
• 1):
• nice illustration of how to use the applet to sketch an approximate sampling distribution for N
• a nice review of Binary Independent Number of trials Same probability (BINS) for conditions for a BINOMIAL DISTRIBUTION
• Nice description review of Shape Center Spread (you don’t need Outliers in this section)
• Nice review of M_x = np and Sigma _x = Sqrt(M_xq)
• 2): Nice reminder that phat = (number of successes)/(sample size)
• 3):
• nice illustration of how to use the applet to sketch an approximate sampling distribution for phat
• a nice description of what each one sample represents
• Nice description review of Shape Center Spread (you don’t need Outliers in this section)
• Nice review of M_phat = p and Sigma _phat = Sqrt(M_xq/n)
• 4): Nice explanation for a distribution description for phat₁ – phat₂ using ideas from yesterday’s RV lesson
• Nice description review of Shape Center Spread (you don’t need Outliers in this section)
• THESE FORMULA ARE ON THE AP STATS FORMULA SHEET😊

Page #2 “Reese’s Pieces”(x-bar)

• 5):
• nice illustration of how to use the applet to sketch a population distribution
• a nice description of what each one bag represents
• Nice review of M and Sigma
• 6):
• nice animation means calculated from sets of 5
• nice illustration of how to use the applet to sketch an approximate sampling distribution for xbar
• a nice description of what each one sample represents
• Nice review of M_xbar = M and Sigma _xbar = Sigma/Sqrt(n)
• 7): Size 5 is slightly skewed right
• 8): Size 25 is approximately normal
• 9): 7 and 8 illustrate for us that as n increases, the shape of the approx. sampling distribution normalizes = the Central Limit Theorem (CLT safe value: n greater or equal to 30)
• 10): Nice explanation for a distribution description for xbar₁ – xbar₂
• THESE FORMULA ARE ON THE AP STATS FORMULA SHEET😊

Try the check your understanding homework that he gives at the end for FRQ Friday’s lesson if you can.



Please email me any time with any questions, comments, thoughts.



Take care!!