The accompanying observations are precipitation values during march over a 30 year period in minneapolis-st. paul. 0.77 1.20 3.00 1.62 2.81 2.48 1.74 0.47 3.09 1.31 1.87 0.96 0.81 1.43 1.51 0.32 1.18 1.89 1.20 3.37 2.10 0.59 1.35 0.90 1.95 2.20 0.52 0.81 4.75 2.05
a) construct and interpret a normal probability plot for this data set.
b) calculate the square root of each value and then construct a normal probability plot based on this transformed data. Does it seem plausible that the square root of precipitation is normally distributed?
c) repeat part
d) after transforming by cube roots