-For the next three questions use the following information to determine your answers. 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 valence. They suspect that there is a difference between the average valence (positive or negative emotion) of metal songs compared to blues songs. However, they must conduct a study to determine if that is true. From a sample of 87 metal songs, the sample mean for valence is 0.451 and the sample standard deviation is 0.139. From a sample of 94 blues songs, the sample mean for valence is 0.581 and the sample standard deviation is 0.167.

Assume that sample1 comes from the sample metal songs and that sample2 comes from the sample blues songs

Compute the 90% confidence interval. Please round the values to the fourth decimal point and format your response as follows: (lower_value, upper_value)

-Which of the following represents the hypotheses that we will be testing, assuming that 1 represents the population mean of valence for all metal songs and that 2 represents the population mean of valence for all blues songs.

H0: 1 = 2 versus Ha: 1 < 2

H0: 1 = 2 versus Ha: 1 > 2

H0: 1 = 2 versus Ha: 1 2

-Calculate the p-value and determine if we should accept or reject H0 under alpha = 0.10.