Question: The first time a random sample of six music students played a short song, the number of mistakes each student made was recorded. After the song was practiced five times, the number of mistakes each student made was recorded again. The data are shown below. At \(\alpha =0.05\), test the claim that there was a decrease in the mean number of mistakes made after practicing. Assume that the distribution is normally distributed. Follow the guidelines on page 452 in our textbook.