Twenty-four coworkers want to see whether various routes differ in the time it takes to get to work. Starting from points equidistant from work, eight coworkers take public transportation, eight drive on the highway, and eight take back roads.

Below are their reported times in minutes for the commute:

Public

34

33

36

32

31

29

35

30

Highway

44

47

49

58

40

54

52

46

Back Roads

59

63

65

69

53

71

73

66

1.Please identify the independent variable and dependent variable in this study?

2.Please state the null and alternative hypothesis in the above scenario.

3.Please compute the F-statistic associated with the analysis of variance (ANOVA). Please state its associated p-value. What decision would you make about which hypothesis to believe at a Type I alpha error rate (p-value) of 0.05?