A researcher would like to find out whether a man's nicknameaffects his cholesterol reading (though it is not clear why shebelieves it should). She records the cholesterol readingsof 10 men nicknamed Sam, 10 men nicknamed Lou and 10 men nicknamedMac; her data appears in the table. She wants to know whether thereis a difference in cholesterol levels in men with these 3nicknames. Present all appropriate statistical test need todetermine if a difference exists. Provide all your proofs. The datahave been tested and are considered normally distributed.
|
Sam | Lou | Mac |
364 | 260 | 156 |
245 | 204 | 438 |
284 | 221 | 272 |
172 | 285 | 345 |
198 | 308 | 198 |
239 | 262 | 137 |
259 | 196 | 166 |
188 | 299 | 236 |
256 | 316 | 168 |
263 | 216 | 269 |