For a data set, the mean is 3.17 and the range is 1.4. The data set is transformed by adding 0.5 to each data value. What are the mean and range of the new data set?
a. mean: 3.67; range: 1.9
b. mean: 3.67; range: 1.4
c. mean: 3.17; range: 1.9
d. mean: 3.17; range: 1.4