1. Pour your package of m&m's into a paper cup or other small container.  Shake vigorously.  Without looking in the cup remove one candy at a time until you select a green one.  Record the number that you needed for the first green to appear.  Return the candies to the package and shake again.  Continue until the class has 50 trials.  Plot and then predict the average number of candies needed to get the green candy.   What type of distribution is this? ____________________
Theoretical wait time for a green = _________candies
Sampling wait time for a green = __________ candies
 

2.  Simulations and modeling:
How many M&M’s must be selected before you have one of each color?  Use a random number table to do a simulation of this question.  State how you will use the random number table in your simulation and run it 10 times.  What is the average number of M&M’s that were selected in order to have one of each color? _____________
 
 

3.  Suppose you don’t know if your package of m&m's contain the color blue, but you hypothesize that it probably does, since other varieties of M&M’s contain blue.  You take a random sample of 10 candies and don’t find any blue ones.  You conclude that packages of mini-M&M’s don’t include blue candies.  What type of error have you made? _____________.   Is it possible to make a type II error in this experiment?      Y    N
 

4. Count all the candies in your package.  Record the colors of each.  Find the expected values for each color.  Use a hypothesis test to calculate how well your sample proportions fit the population proportions of each color.  What type of test are you going to do? _____________________
 
 

5.  Consider your package of candy a random sample from the population.  Calculate a 95% confidence interval for the true proportion of green candies from your sample.
 
 

Did your confidence interval contain the true population proportion?   Y      N
 
Suppose you had 200 packages of M&M’s and you made 95% confidence intervals for the proportion of greens for each package.    How many of these confidence intervals should contain the true population proportion?
 
 

What is the definition of  95% confidence interval?
 
 

6. Matched pairs t
You will need a stop watch, a paper plate and a sheet of paper.  On the full sized sheet of paper trace a large circle, at least 8 inches in diameter.  Place a mark on the perimeter to indicate a starting point.  Scatter your candies on the paper plate.  Using your thumb and one finger, see how quickly your dominant hand can place the m&m's on the traced circle, so that the m&m's are touching each other and following the perimeter of the circle.   Compare the dominant hand with the recessive hand using matched pairs procedures.  Collect class data the class data and perform a significance test.