When the background music tempo was slow, the mean amount of bar purchases for a sample of 17 restaurant patrons was $30.47 with a standard deviation of $15.10. When the background music tempo was fast, the mean amount of bar purchases for a sample of 14 patrons in the same restaurant was $21.62 with a standard deviation of $9.50.
(a) Assuming equal variances, at α = .01, is the true mean higher when the music is slow?
(b) Calculate the p-value using Excel.