1. Is commercially recorded music getting louder over time? Some music critics think so. An online database has been compiled by individuals around the world and currently contains data for over 100,000 albums, going back to the 1940's. Two independent random samples, of size 100 albums each, were taken from this data. The first sample was drawn from albums released between 1980 and 1999. These albums had an average loudness of 68.3 dB, with an SD of 2.6 dB. The second sample was drawn from albums released between 2000 and 2019. These albums had an average loudness of 69.1 dB, with an SD of 2.8 dB. (Increasing dB indicates louder albums.) We will test the null hypothesis that the average loudness of all albums in the database released 1980-1999 is the same as those in the database released 2000-2019. (a) Under the null hypothesis, the difference in the sample averages is expected to be dB. The standard error for the difference is estimated to be dB. (b) The two-sample 2 test statistic is (c) The p-value is (d) What do you conclude