Word Twist is a game played by Facebook friends that involves finding as many words as possible in a group of six letters. Players score points depending on how many words they find and the lengths of the words. Each round of the game displays a new set of six letters, but the same set to both players. The following table displays the results (number of points) for a sample of 36 rounds of the game between Ann and Paula (WordTwist):

a. Explain why a paired analysis rather than an independent samples analysis is appropriate here.

b. Conduct a significance test of whether these sample data provide strong evidence that one of these players tends to score higher than the other on average. Provide all six steps of a significance test.

c. Estimate the number of points by which Paula outscores Ann on average with 95% confidence.

d. How would you expect the p-value and confidence interval to change if you were to conduct an inappropriate independentsamples analysis on these data? Explain.

e. Explain what the data reveal about Word Twist that makes a paired design useful here.