Cowboys from the Mythical Stats Bar-X Ranch Competed in a Singing

Essay

Cowboys from the mythical Stats Bar-X Ranch competed in a singing contest at the Dry Gulch Saloon where they sang against cowpokes from the Dragging y Ranch. The songs were psychowestern (which are like psychedelic songs, but with a twangy ranch dressing). A Stats Bar?X researcher counted the number of people clapping after each song over the hour of the contest, during which the two groups alternated singing.
a. Compare the two groups with a t test, find the effect size index, and write an interpretation of what you find.
b. Find the 95 percent confidence interval about the mean difference and write an interpretation. $$\begin{array} { l c c } & \text { Stats Bar-X } & \text { Dragging } y \\ 12 : 00 \text { set } & 21 & 23 \\12 : 10 \text { set } & 25 & 18 \\12 : 20 \text { set } & 20 & 16 \\12 : 30 \text { set } & 17 & 14 \\12 : 40 \text { set } & 14 & 10 \\12 : 50 \text { set } & 8 & 3\end{array}$$