Do Taller people Have lower Voices? Use this information for Exercises 40 and 41. The heights of the members of the New York Choral Society were recorded.3 Choral singers are roughly divided into four groups, from highest-pitched voices to lowest: sopranos and altos (usually female), and tenors and basses (usually male). Assume that the assumptions are satisfied.

Question 12.41

41. The summary statistics are shown here. Test, at , whether the population mean heights of the groups differ.

image

12.1.41

Since the is , we reject . There is evidence that not all the population mean heights are equal.