Recall Exercise 7.3.30 about music and the Stroop test. 

a. Put the data into the Matched Pairs applet to find the sample mean, sample standard deviation, and sample size of the differences. 

b. Use the Theory-Based Inference applet to determine a 95% confidence interval for the long-run mean difference. 

c. Interpret the confidence interval you obtained in the context of the study. 

d. Based on your confidence interval, do you have strong evidence that listening to music has an effect on the length of time to complete a Stroop test? Explain how you are determining this and if there is evidence of an effect, give which condition results in the higher average time to take the test.

Data from Exercises 7.3.30

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.