Paul, Kenyatta, and Rosanna each took one national language exam. Paul took the French exam and scored 88. Kenyatta took the Spanish exam and scored 84. Rosanna took the Mandarin exam and scored 91. The national means and standard deviations for the tests are as follows:
French: μ = 72, σ = 8.5
Spanish: μ = 72, σ = 5.8
Mandarin: μ = 85, σ = 6.1
a. Can you determine which test is most difficult? Why or why not?
b. Which test had the widest range of scores nationally? Explain your reasoning.
c. Which of the three friends did best when compared to the national norms? Explain your reasoning.