Question

A research group is curious about features that can be attributed to music genres. A music streaming service provides a few different attributes for songs such as speechness, danceability, and liveness. The research group suspects that the average danceability for country songs is greater than the average danceability for punk songs. However, they must conduct a study to determine if that is true. From a sample of 50 punk songs, the sample mean danceability is 0.462 and the sample standard deviation is 0.089. From a sample of 52 country songs, the sample mean danceability is 0.521 and the sample standard deviation is 0.059.

Assume that sample1 comes from the sample punk songs and that sample2 comes from the sample country songs.

Compute the 95% confidence interval. Round to the fourth decimal point. Please enter your answer in the following format: (lower_value, upper_value)

*I had -0.0893, -0.0287 but it was incorrect

Answer 1