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In: Statistics and Probability

Braking distance was evaluated for 4 different brake materials. Run an analysis of variance to determine...

Braking distance was evaluated for 4 different brake materials. Run an analysis of variance to determine if there is a difference in treatments? Use the six steps of hypothesis testing at a 0.05 level of significance. Put the below data into Excel to perform the analysis.

Is the average braking distance for material 2 different than the average braking distance for material 3? Prove your conclusion by using the confidence interval formula: (x1-x2) +/- t √MSE (1/n1 + 1/n2)

please show clear work for the second part formula.

Braking Distance

Disk
Material 1

Disk
Material 2

Disk
Material 3

Disk
Material 4

69.8

78.1

77.7

90.6

65.6

81.0

80.9

91.0

71.7

81.9

80.8

89.4

70.5

81.8

79.8

88.1

68.0

78.8

81.1

87.5

69.3

78.9

82.0

92.0

71.0

81.4

80.0

90.7

68.8

82.2

80.8

88.4

66.7

79.8

80.9

89.7

72.0

76.7

79.8

88.1

72.8

80.1

80.1

89.4

67.2

78.7

80.4

89.2

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