SOME FUN INTERACTIVE APPLETS FOR STATISTICS CMC 3

SOME FUN INTERACTIVE APPLETS FOR STATISTICS CMC 3 – South Fall Conference Speakers: TUYETDONG PHAN-YAMADA From: Cal State LA www. phan-yamada. weebly. com

Applets – My collection www. phan-yamada. weebly. com Select Teaching , Then Statistics. • • Guess Mean, Median, Standard Deviation and IQR Fair dice? Rolling Two dice Guess Correlation Guess p-Value Locating the midpoint Red Light Reaction Rossman/Chance Applet Collection

Data Sites • Vehicle data • Lock 5 Site • What's Going On in This Graph?

Projects • Lefty-Righty • Locating the Midpoint • Red Light Reaction • Smelling Parkinson’s Disease Task • A Case of Possible Discrimination Task • Dolphin Therapy Task

21: 36: 43 Timer 4

21: 36: 43 PROJECT SUMMARY Using data from the Lefty-Righty Experiment: • Estimate the percentage of left-handed people in the sampled population • Explore why some people write faster than others. 5

STUDENT LEARNING OUTCOMES (“I will” statements) 21: 36: 44 6 • I will learn how to estimate confidence intervals • I will learn how to use the binomial distribution to check if collected data seem unusual given an assumed proportion • I will use the one-sample z-test to test the claim the percentage of left-handed people sampled match the population at large • I will test if the collected data are sampled from a normally distributed population • I will use the t-test for two samples to conduct a hypothesis test about why some people write faster than others.

21: 36: 44 SORTING DATA This scatter plot determines how many left-handed people are in the sample. 7

21: 36: 45 9 Too many left-handed? Assuming 10% of people are left-handed, then the probability of having 1 out of 16 people be left-handed is 0. 3294.

21: 36: 47 Estimate the percentage of left-handed people From eight sample sets, we are 95% confident that 10% of people are left handed. 8

21: 36: 47 Z-test for one sample 10 Ho: p = 0. 1 Ha: p ≠ 0. 1 Conduct a z-test about the hypothesis of 10% of people are left handed.

21: 36: 49 Normal Quantile Plot 11 To check if data are from a normally distributed population.

21: 36: 50 T-test for two samples 12 To test the hypothesis if people who drink coffee can write faster than those who don’t.

21: 36: 50 GRADING RUBRIC • Sign up: _____/5 • Collecting data: _______/10 • Moodle post: ______/10 • Participation: ____/10 – small group discussion • Presentation: ____/20 • Paper: ____/45 13

21: 36: 51 PROCEDURES 14 1. 1. Have students do the lefty-righty experiment inin inclass 1. Have students do the lefty-righty experiment as 1. Have students dodo the lefty-righty experiment in class asclass anas Have students do the lefty-righty experiment inclass an example. as an Then discuss what potential topics are. topics an Then discuss what potential topics are. Then discuss potential topics. asexample. anexample. Then discuss what potential topics 2. Divide are. students groups have each group 2. Divide students groups of 4. 4. Then have each group 2. ininin groups of of 4. Have each group choose a topic. are. students choose Divide their students topics. ingive groups of 4. Thentohave each choose their topics. 3. 2. Each student should this experiment at least 16 group people choose their topics. 3. (8 Each student have to give experiment to atbyleast per category. ) Students havethis to submit their data a 16 3. deadline. Each student have give this to at and least people (8 Ifper Students haveextra to submit their not, category. ) other to students can experiment submit data get 16 people (8 per category. ) Students have tosubmitand data by a deadline. If not, other students will their points. their data by a deadline. If not, other students get their points. 4. Give the deadline to submit the confidence interval. will submit and get their points. 4. Spend Give the deadline to submit confidence interval. 5. about 15 minutes in classthe to find the percentage of left 5. handed Spendpeople about based 15 minutes in class to find on the work in step 5. the percentage people based on thethe work 6. Give the deadline of to left-handed submit the group work for testing in step 5. and the group’s claim. percentage 7. Course materiel connecting z- and t- tests 8. Write individual reports. Each student analyzes their own data (small N) and compares it to their group work (large N).

21: 36: 52 http: //phan-yamada. weebly. com/ 15 CLICK TEACHING, THEN SELECT STATISTICS BUILT-IN STAT CALCULATOR TO FIND CI, BINO. DIST, NORMALITY MY STATISTICS APPS TO DO Z-TEST AND TTEST OTHER STAT APPS: LINEAR REGRESSION LINE, ANOVA, PROBABILITY DISTRIBUTION, CHI-SQUARE TEST, CONTINGENCY TABLE AND MORE Or email me : tphanyamada@yahoo. com