References 1. (GAISE) Report, ASA, Guidelines for Assessment and Instruction in Statistics Education Franklin et al., ASA, 2007 . 2. Adapted from: Gabrosek, J., Stephenson, P., and Richardson, M. (2007). How LO can you GO? Using the Dice-Based Golf Game GOLO to Illustrate the Sampling Distribution of a Sample Proportion. Volume 101, Issue 7. Mathematics Teacher, 3. Assessment questions taken from: Utts, J. and Heckard, B. (2007). 3rd Mind on Statistics, Edition. Thomson. Using Dice to Introduce Sampling Distributions Activity Sheet Suppose that you were to roll a regular six-sided die a large number of times. What proportion of the rolls will land with a on the up-face? = ______________. p ‘6’ Individual Data Table Use two decimal places. 10 Trials 20 Trials 60 Trials of Rolls Resulting Number in 6 of Rolls Resulting Proportion in 6 Copy your sample proportions (use two decimals) onto the white board in the appropriately labeled column. Input the class proportion of rolls resulting in a into ‘6’ the Class Data Table. Class Data Table Class of Rolls Resulting in a Proportion ‘6’. Sample = 10 = 20 = 60 Sample = 10 = 20 = 60 n n n n n n 1 16 2 17 3 18 4 19 5 20 6 21 7 22
References 1. Guidelines for Assessment and Instruction in Statistics Education (GAISE) Report, ASA, Franklin et al., ASA, 2007 . 2. Adapted from: Gabrosek, J., Stephenson, P., and Richardson, M. (2007). How LO can you GO? Using the Dice-Based Golf Game GOLO to Illustrate the Sampling Distribution of a Sample Proportion. Mathematics Teacher, Volume 101, Issue 7. 3. Assessment questions taken from: Utts, J. and Heckard, B. (2007). Mind on Statistics, 3rd Edition. Thomson. Using Dice to Introduce Sampling Distributions Activity Sheet Suppose that you were to roll a regular six-sided die a large number of times. What proportion of the rolls will land with a ‘6’ on the up-face? p = ______________. Individual Data Table Use two decimal places. 10 Trials 20 Trials 60 Trials Number of Rolls Resulting in 6 Proportion of Rolls Resulting in 6 Copy your sample proportions (use two decimals) onto the white board in the appropriately labeled column. Input the class proportion of rolls resulting in a ‘6’ into the Class Data Table. Class Data Table Class Proportion of Rolls Resulting in a ‘6’. Sample n = 10 n = 20 n = 60 Sample n = 10 n = 20 n = 60 1 16 2 17 3 18 4 19 5 20 6 21 7 22
UsingDicetoIntroduceSamplingDistributions.docx