5.3 50 orange 35 blue 15 white marbles
One hundred marbles. Students blind draw a single marble. Population probability is known. Tally the sample to obtain relative frequency. Last spring the recommendation was to move to ratio level data . Upon further thought, the ratio level data would not demonstrate the linkage between mathematically determined probabilities and statistically inferred probabilities. Ratio level data wouldn't have obvious population values. One could use the mass of the marbles to predict a known population mean, but that is a conceptually harder system in which to explain what the probability of individual mass classes ought to be. Those weight class probabilities would be driven by an underlying normal distribution. Students would not comprehend why the predicted probability for the class bounded by the mean minus a standard deviation and the mean has a predicted probability of 34% Fifty orange marbles, thirty-five blue marbles, and fifteen white marbles sets up an easier to se...