Refer back to Exercise 10.1.20 about exploring the relationship between the number of letters in a name and the corresponding Scrabble score. Students were also asked to calculate the points per letter, that is, ratio = (Scrabble score)/(number of letters in name). The data file ScrabbleRatio contains Scrabble points for a student’s name and the corresponding ratio.

a. State in words the appropriate null and alternative hypotheses to test whether there is an association between the Scrabble points for a student’s name and the corresponding ratio.
b. Describe how one might use everyday items (for example, coins, dice, cards, etc.) to conduct a tactile simulation-based test of the hypotheses. Be sure to clearly describe how the p-value will be computed from the simulation.