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Answer all parts. In an experiment conducted online at the University of Mississippi, study participants are asked to react to a stimulus. In one experiment, the participant must press a key on seeing a blue screen and the reaction time (in seconds) to press the key is measured. The same person is then asked to press a key on seeing a red screen, again with reaction time measured. The results for six randomly sampled study participates are as follows: Participant 1 2 3 4 5 6 Blue (X;) 0.582 0.481 0.841 0.267 0.685 0.450 Red (Y;) 0.408 0.407 0.542 0.402 0.456 0.533 Is there sufficient evidence to conclude that people react faster to a red stimulus? Use a = 0.1. a) For di = Xi - Yi , what does it mean for di to be positive? (Did they react faster to the red or blue stimuli?) b) What is the null and alternative hypothesis? c) What is the test statistic and p-value? d) Should we reject the null hypothesis