Question

Consider two independent groups, A and B that took the same exam. Their scores are

R code -

A=c(69.8, 70.0, 71.0, 71.9, 68.3, 70.4, 72.3, 66.1, 70.5, 69.3, 70.4)

B=c(80.9, 74.5, 75.8, 77.0, 70.3, 75.3, 75.2, 76.3, 76.6, 74.6)

Assume the data is normally distributed (could use QQ plot or ShapiroWilk test), determine if the one group outperformed the other, which one and by how much? Explain all steps.

Answer 1

A
[1] 69.8 70.0 71.0 71.9 68.3 70.4 72.3 66.1 70.5 69.3 70.4
> B=c(80.9, 74.5, 75.8, 77.0, 70.3, 75.3, 75.2, 76.3, 76.6, 74.6)
> B
[1] 80.9 74.5 75.8 77.0 70.3 75.3 75.2 76.3 76.6 74.6
> qqplot(A,B,main="QQ-plot")
> abline(5.5,1)