6. Chapter 3: (6 marks) a. A sample of 6 patients was placed on Diet A and 6 on Diet B. The weight losses (in kg) for each group are: Diet A: 3.7 4.5 7.7 7.8 8.2 10.1 Diet B: 3.7 6.8 6.9 7.2 7.3 10.1 Calculate by hand (Show all steps) the standard deviation of the weight losses for each group. Explain why the standard deviation for Diet B comes out less than that for Diet A even though the range of weight losses is the same for each group