In: Statistics and Probability
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 |
Disk |
Disk |
Disk |
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 |