Health and Fitness has been an important initiative for the state government over the past five years, and has led to a number of studies at a local hospital. One such study shows weight loss (in pounds) over a three-week period for people initiating two different weight-loss programs:

Program A: 22, 36, 35, 47, 36, 34, 13

Program B: 23, 20, 11, 9, 31, 34

a. Calculate the mean and standard deviation for these two samples?

b. Which weight loss program is better? Why?

c. What other information may you wish to consider when making this decision? At the same hospital, there have been studies done encouraging commuters to walk to work.

Hospital employees from the local area have a choice between two routes for their morning commute.

They would like to know if, on average, one route is faster than the other. To investigate, an employee ran an experiment for two weeks. Each morning they flipped a coin. If it came up heads, they took route A; if it came up tails, they took route B. The following data represents the time (in minutes) they spent walking to work on these 10 days.

Route A: 35, 32, 41, 38

Route B: 36, 25, 22, 48, 46, 25

d. Calculate the mean and standard deviation for these two samples?

e. Which route would they choose? Why?

f. What other information may they wish to consider when making this decision?