Question
A manufacturer of outdoor copper mailboxes and lamps has received numerous complaints about premature corrosion. The manufacturer has identified the cause of the problem as
A manufacturer of outdoor copper mailboxes and lamps has received numerous complaints about premature corrosion. The manufacturer has identified the cause of the problem as the poor quality varnish used to coat the copper. He decides to replace his current varnish supplier with one of five possible alternatives. To determine which is best, you use each of the five varnishes to coat 25 copper mailboxes and place all 125 mailboxes outside. Record, for each, the number of days until the first sign of corrosion is observed. a. State the null and alternate hypothesis for this scenario. b. Is there sufficient evidence at the 5% significance level to allow the manufacturer to conclude that there are differences between the five coatings? c. What are the conditions required for the test in part b. Explain? d. Do the required conditions of the test in part b appear to be met? Explain?
Barniz 1 | Barniz 2 | Barniz 3 | Barniz 4 | Barniz 5 |
133 | 173 | 161 | 160 | 154 |
171 | 182 | 115 | 221 | 180 |
142 | 214 | 137 | 208 | 222 |
154 | 165 | 173 | 249 | 147 |
242 | 168 | 176 | 148 | 159 |
147 | 232 | 138 | 99 | 175 |
171 | 217 | 106 | 182 | 193 |
155 | 220 | 238 | 169 | 209 |
165 | 184 | 129 | 162 | 192 |
156 | 145 | 163 | 158 | 173 |
219 | 126 | 156 | 240 | 188 |
159 | 209 | 140 | 168 | 147 |
179 | 152 | 109 | 121 | 240 |
189 | 139 | 128 | 146 | 183 |
110 | 237 | 121 | 191 | 236 |
198 | 107 | 149 | 222 | 186 |
119 | 266 | 165 | 176 | 168 |
177 | 234 | 121 | 153 | 169 |
185 | 158 | 162 | 238 | 177 |
206 | 154 | 166 | 195 | 128 |
145 | 199 | 190 | 196 | 152 |
81 | 195 | 214 | 240 | 213 |
171 | 133 | 197 | 152 | 135 |
175 | 247 | 130 | 233 | 165 |
165 | 185 | 185 | 138 | 181 |
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