Student researchers wanted to see whether listening to music would affect the time it takes people to complete a Stroop test. In a Stroop test, words of colors are shown printed in a color that does not correspond to the word. For example, BLUE is written in orange letters. The subjects have to say the color of the letters, not the word. The researchers had 38 subjects do the test once while listening to music and then again without music (the order was randomly determined). The results, time in seconds for 25 words, are in the file StroopMusic.

a. Put the data into the Matched Pairs applet. Which condition had a faster average completion time?

b. Based on the distribution of differences, does it appear that there is a significant difference in completion times between the two conditions? Explain how you are deciding.

c. State the hypotheses either in words or using appropriate symbols.

d. Use the applet to determine the t-statistic. Based on the t-statistic, is there strong evidence that music affects the completion time? Explain how you are deciding.

e. Determine a theory-based p-value. Based on the p-value, is there strong evidence that music affects the completion time? Explain how you are deciding.