Recent research has demonstrated that music-based physical training for elderly people can improve balance, walking efficiency,...

Recent research has demonstrated that music-based physical training for elderly people can improve balance, walking efficiency, and reduce the risk of falls. As part of 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 stride length data are similar to the results obtained in the study: Exercise Group: 24,25,22,24,26,17,21,22,22,19,24,23,23,28,25,23 Control Group: 26,23,20,23,20,16,21,17,18,23,16,20,25,19,17,16

(a) Do the results indicate a significant difference in the stride length for the two groups? Use a two-tailed test and .01 level of significance. Show your work. Make sure to state the hypotheses being tested.

(b) Construct a 99% confidence interval to estimate the size of the population mean difference. Show your work.

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