Question: An experiment was conducted to try to resolve a problem of brake discs overheating at high speed on construction equipment. Five different brake discs were
An experiment was conducted to try to resolve a problem of brake discs overheating at high speed on construction equipment. Five different brake discs were measured by two different temperature gauges. The temperature of each brake disc and gauge combination was measured at eight different times and the results stored in Brakes.
| Part | Gauge 1 | Gauge 2 |
| Part 1 | 35 | 31 |
| Part 1 | 43 | 40 |
| Part 1 | 51 | 48 |
| Part 1 | 69 | 56 |
| Part 1 | 91 | 83 |
| Part 1 | 103 | 91 |
| Part 1 | 117 | 103 |
| Part 1 | 138 | 119 |
| Part 2 | 57 | 51 |
| Part 2 | 79 | 67 |
| Part 2 | 125 | 98 |
| Part 2 | 156 | 142 |
| Part 2 | 202 | 187 |
| Part 2 | 236 | 214 |
| Part 2 | 237 | 214 |
| Part 2 | 275 | 251 |
| Part 3 | 85 | 84 |
| Part 3 | 90 | 93 |
| Part 3 | 95 | 99 |
| Part 3 | 101 | 109 |
| Part 3 | 123 | 131 |
| Part 3 | 137 | 142 |
| Part 3 | 156 | 165 |
| Part 3 | 179 | 183 |
| Part 4 | 101 | 102 |
| Part 4 | 118 | 112 |
| Part 4 | 103 | 107 |
| Part 4 | 128 | 126 |
| Part 4 | 149 | 151 |
| Part 4 | 169 | 177 |
| Part 4 | 194 | 200 |
| Part 4 | 200 | 203 |
| Part 5 | 103 | 101 |
| Part 5 | 117 | 112 |
| Part 5 | 105 | 107 |
| Part 5 | 131 | 129 |
| Part 5 | 153 | 149 |
| Part 5 | 172 | 175 |
| Part 5 | 195 | 199 |
| Part 5 | 200 | 202 |
At the 0.05 level of significance,
a. is there an interaction between the brake discs and the gauges?
b. is there an effect due to brake discs?
c. is there an effect due to the gauges?
d. Plot the mean temperature for each brake disc for each gauge.
e. Discuss the results of (a) through (d).
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