Exploring Confidence Intervals Using Hershey's Kisses
Dive into the world of confidence intervals by conducting an engaging activity with Hershey's Kisses. Students drop cups of Kisses to determine the proportion of them landing on their base. The activity involves data collection, calculation of intervals, and graphing results to understand statistical concepts effectively.
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Gimme a Kiss! Introducing Confidence Intervals Using Hershey s Kisses Lisa Brock, West Forsyth High School lbrock@forsyth.k12.ga.us Carol Sikes, South Forsyth High School csikes@forsyth.k12.ga.us
Credit We found this activity on a website for Aaron Rendahl s STAT 4102 activities at University of Minnesota. We made very minor modifications to it. Materials & Time Materials: Gimme a Kiss! Handout 5 Hershey s Kisses per student Small cup for each student Napkins Dot stickers Gridded chart paper Marker Time: 45 minutes for Price is Right clip and Gimme a Kiss! Activity
Before KissesPrice is Right Clip Credit for the idea of the Price is Right clip goes to Summer Abney, our fellow reader. Find a clip of the Price Is Right Range Game on youtube. Let students watch the directions for the game. Pause video. Ask students what the strategy should be. Watch conclusion of clip. We like to use a clip in which the person wins but the green arrow is on the border of the range. https://www.youtube.com/watch?v=00a4pPyIwes
Data Collection Introduction to problem: What proportion of the time will a Hershey s Kiss land on its base? Students drop their cup of 5 Kisses 10 times so that each student obtains a sample of 50 random Hershey s Kiss drops. Calculate p-hat and with their group members.
Calculation of Interval https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcRy3zRy6Dvp6qHuqZp9spThWbC7Rur4URD2LSCeBWUy3DEpse1z4CIA_6o Handout walks students through calculation of interval.
Graph of the Intervals https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcSGzcYIbug1U7nEgUITz6wId0pU9pigIMu0TBQSmyetf6pdJb3ciQaZVPA
Pictures of Lisas 2014 Results According to an NCTM article, the true proportion of the time a Hershey s Kiss will land on its base is .35. https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcQn9eqLdJq9NGbzBRm0kMjXO9ClZzYxICFGNS-S-ZhVfdql8rcwV64VfDM https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcQn9eqLdJq9NGbzBRm0kMjXO9ClZzYxICFGNS-S-ZhVfdql8rcwV64VfDM
