Worksheet and each student writes her individual results on the whiteboard in an appropriately labeled column. For a 30-student class there will be 30 sample proportion values for each of the sample sizes. Collecting this data provides an opportunity for students to participate in an example of obtaining repeated samples. Calculating the proportion of rolled for each of the sample sizes helps to ‘6’’s reinforce the idea of a sample proportion being a random variable whose value changes from sample to sample. the individual sample proportions have been calculated and the results copied onto the white board, ask students to input the class data into the Class Data Table on the Activity Worksheet. III. Analyze the Data Figure 1 provides example class results. On this class day, 27 students participated in producing the example data set. Stem-and-leaf plots have been constructed for the proportions of dice landing on for each of the 3 sample sizes. By examining the class data and answering a series ‘6’ of questions, students will begin to discover properties of the distribution of a sample proportion. Stem-and-Leaf Plot for sample sizes of n=10 Frequency Stem & Leaf 4.00 0 . 0000 .00 0 . 6.00 1 . 000000 .00 1 . 13.00 2 . 0000000000000 .00 2 . 4.00 3 . 0000 Stem width: .10 Each leaf: 1 case(s) Stem-and-Leaf Plot for sample sizes of n=20 Frequency Stem & Leaf .00 0 . 4.00 0 . 5555 5.00 1 . 00000 4.00 1 . 5555 8.00 2 . 00000000 1.00 2 . 5 5.00 3 . 00000 Stem width: .10 Each leaf: 1 case(s)
Worksheet and each student writes her individual results on the whiteboard in an appropriately labeled column. For a 30-student class there will be 30 sample proportion values for each of the sample sizes. Collecting this data provides an opportunity for students to participate in an example of obtaining repeated samples. Calculating the proportion of ‘6’’s rolled for each of the sample sizes helps to reinforce the idea of a sample proportion being a random variable whose value changes from sample to sample. the individual sample proportions have been calculated and the results copied onto the white board, ask students to input the class data into the Class Data Table on the Activity Worksheet. III. Analyze the Data Figure 1 provides example class results. On this class day, 27 students participated in producing the example data set. Stem-and-leaf plots have been constructed for the proportions of dice landing on ‘6’ for each of the 3 sample sizes. By examining the class data and answering a series of questions, students will begin to discover properties of the distribution of a sample proportion. Stem-and-Leaf Plot for sample sizes of n=10 Frequency Stem & Leaf 4.00 0 . 0000 .00 0 . 6.00 1 . 000000 .00 1 . 13.00 2 . 0000000000000 .00 2 . 4.00 3 . 0000 Stem width: .10 Each leaf: 1 case(s) Stem-and-Leaf Plot for sample sizes of n=20 Frequency Stem & Leaf .00 0 . 4.00 0 . 5555 5.00 1 . 00000 4.00 1 . 5555 8.00 2 . 00000000 1.00 2 . 5 5.00 3 . 00000 Stem width: .10 Each leaf: 1 case(s)
UsingDicetoIntroduceSamplingDistributions.docx