Recent research has demonstrated that musicbased physical tr

Recent research has demonstrated that music-based physical training for elderly people

            can improve balance and walking efficiency and reduce the risk of falls (Trombetti et al.,

            2011). As part of the training, participants walked in time to music and responded to

            changes in the music’s rhythm during a 1-hour per week exercise program. After 6

            months, participants in the training group increased their walking speed and their stride

            length compared to individuals in the control group. The following data are similar to the

            results obtained in the study.

                        Exercise Group                         Control Group

                        Stride length                                         Stride length

                        23, 24, 21, 23                                      25, 22, 19, 22

                        25, 16, 20, 21                                      19, 15, 20, 16

                        21, 18, 23, 22                                      17, 22, 15, 19

                        22, 27, 24, 22                                      24, 18, 16, 15

            a.         Do the results indicate a significant difference in the stride length for the two

                        groups? Use a two-tailed test with =.01.

Solution

test H0: mean(exercise group) - mean(control group) = 0 ag. not equals 0.......

mean for exercise group = 22 and s.d = 2.63312...

mean for control group = 19 and s.d = 3.26599....

standard error = [ var(exercise) + var( control) ] / 16 = 1.100001...

test statistic = ( 22-19) / 1.100001 = 2.72727...

p-value = 0.01056592....
which is greater than 0.01...
so, the differecne is not significant.....