Student researchers wanted to see whether listening to music with lyrics would affect a person’s ability to memorize words compared to listening to music without lyrics. They recruited 31 people for this test. The subjects looked at 10 common words for one minute. The list was taken away and they then had 30 seconds to list all the words they could remember. They did this once while listening to music through headphones that contained words (lyrics) and once while listening to music without words (instrumental). These conditions were done in random order. The results are in the file MemorizeMusic. 

a. Put the data into the Matched Pairs applet. Which condition had a larger mean number of words memorized? 

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

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

d. Determine the t-statistic for the mean difference. Based on the t-statistic, is there strong evidence that there is a difference, on average, in the number of words memorized between the two conditions? Explain how you are deciding. 

e. Determine a theory-based p-value. Based on the p-value, is there strong evidence that there is a difference, on average, in the number of words memorized between the two conditions? Explain how you are deciding.