(Step-by-Step) Are the Axial loads within statistical control? Exercises 9 and 10 in Section 14-2 used process data from a New York company that manufactures
Question: Are the Axial loads within statistical control?
Exercises 9 and 10 in Section 14-2 used process data from a New York company that manufactures 0.0109-in thick aluminum cans for a major beverage supplier. Refer to the data set below and conduct an analysis of the process data for the cans that are 0.011 in. thick. The values in the data set are the measured axial loads of cans, and the top lids are pressed into place with pressures that vary between 158 lb and 165 lb.
CKREGWT | CKREGVOL | CKDIETWT | CKDTVOL | PPREGWT | PPREGVOL | PPDIETWT | PPDTVOL |
0.8192 | 12.3 | 0.7773 | 12.1 | 0.8258 | 12.4 | 0.7925 | 12.3 |
0.815 | 12.1 | 0.7758 | 12.1 | 0.8156 | 12.2 | 0.7868 | 12.2 |
0.8163 | 12.2 | 0.7896 | 12.3 | 0.8211 | 12.2 | 0.7846 | 12.2 |
0.8211 | 12.3 | 0.7868 | 12.3 | 0.817 | 12.2 | 0.7938 | 12.3 |
0.8181 | 12.2 | 0.7844 | 12.2 | 0.8216 | 12.2 | 0.7861 | 12.2 |
0.8247 | 12.3 | 0.7861 | 12.3 | 0.8302 | 12.4 | 0.7844 | 12.2 |
0.8062 | 12 | 0.7806 | 12.2 | 0.8192 | 12.2 | 0.7795 | 12.2 |
0.8128 | 12.1 | 0.783 | 12.2 | 0.8192 | 12.2 | 0.7883 | 12.3 |
0.8172 | 12.2 | 0.7852 | 12.2 | 0.8271 | 12.3 | 0.7879 | 12.2 |
0.811 | 12.1 | 0.7879 | 12.3 | 0.8251 | 12.3 | 0.785 | 12.3 |
0.8251 | 12.3 | 0.7881 | 12.3 | 0.8227 | 12.2 | 0.7899 | 12.3 |
0.8264 | 12.3 | 0.7826 | 12.3 | 0.8256 | 12.3 | 0.7877 | 12.2 |
0.7901 | 11.8 | 0.7923 | 12.3 | 0.8139 | 12.2 | 0.7852 | 12.2 |
0.8244 | 12.3 | 0.7852 | 12.3 | 0.826 | 12.3 | 0.7756 | 12.1 |
0.8073 | 12.1 | 0.7872 | 12.3 | 0.8227 | 12.2 | 0.7837 | 12.2 |
0.8079 | 12.1 | 0.7813 | 12.2 | 0.8388 | 12.5 | 0.7879 | 12.2 |
0.8044 | 12 | 0.7885 | 12.3 | 0.826 | 12.3 | 0.7839 | 12.2 |
0.817 | 12.2 | 0.776 | 12.1 | 0.8317 | 12.4 | 0.7817 | 12.2 |
0.8161 | 12.2 | 0.7822 | 12.2 | 0.8247 | 12.3 | 0.7822 | 12.2 |
0.8194 | 12.2 | 0.7874 | 12.3 | 0.82 | 12.2 | 0.7742 | 12.1 |
0.8189 | 12.2 | 0.7822 | 12.2 | 0.8172 | 12.2 | 0.7833 | 12.2 |
0.8194 | 12.2 | 0.7839 | 12.2 | 0.8227 | 12.3 | 0.7835 | 12.2 |
0.8176 | 12.2 | 0.7802 | 12.1 | 0.8244 | 12.3 | 0.7855 | 12.2 |
0.8284 | 12.4 | 0.7892 | 12.3 | 0.8244 | 12.2 | 0.7859 | 12.2 |
0.8165 | 12.2 | 0.7874 | 12.2 | 0.8319 | 12.4 | 0.7775 | 12.1 |
0.8143 | 12.2 | 0.7907 | 12.3 | 0.8247 | 12.3 | 0.7833 | 12.2 |
0.8229 | 12.3 | 0.7771 | 12.1 | 0.8214 | 12.2 | 0.7835 | 12.2 |
0.815 | 12.2 | 0.787 | 12.2 | 0.8291 | 12.4 | 0.7826 | 12.2 |
0.8152 | 12.2 | 0.7833 | 12.3 | 0.8227 | 12.3 | 0.7815 | 12.2 |
0.8244 | 12.3 | 0.7822 | 12.2 | 0.8211 | 12.3 | 0.7791 | 12.1 |
0.8207 | 12.2 | 0.7837 | 12.3 | 0.8401 | 12.5 | 0.7866 | 12.3 |
0.8152 | 12.2 | 0.791 | 12.4 | 0.8233 | 12.3 | 0.7855 | 12.2 |
0.8126 | 12.1 | 0.7879 | 12.3 | 0.8291 | 12.4 | 0.7848 | 12.2 |
0.8295 | 12.4 | 0.7923 | 12.4 | 0.8172 | 12.2 | 0.7806 | 12.2 |
0.8161 | 12.2 | 0.7859 | 12.3 | 0.8233 | 12.4 | 0.7773 | 12.1 |
0.8192 | 12.2 | 0.7811 | 12.2 | 0.8211 | 12.3 | 0.7775 | 12.1 |
Analyzing the Results
Based on the given process data, should the company take any corrective action? Write a report summarizing your conclusions. Address not only the issue of statistical stability, but also the ability of the cans to withstand the pressures applied when the top lids are pressed into place. Also compare the behavior of the 0.0111-in. cans to the behavior of the 0.0109-in cans and recommend which thickness should be used.
CANS109 | CANS111 |
270 | 287 |
273 | 216 |
258 | 260 |
204 | 291 |
254 | 210 |
228 | 272 |
282 | 260 |
278 | 294 |
201 | 253 |
264 | 292 |
265 | 280 |
223 | 262 |
274 | 295 |
230 | 230 |
250 | 283 |
275 | 255 |
281 | 295 |
271 | 271 |
263 | 268 |
277 | 225 |
275 | 246 |
278 | 297 |
260 | 302 |
262 | 282 |
273 | 310 |
274 | 305 |
286 | 306 |
236 | 262 |
290 | 222 |
286 | 276 |
278 | 270 |
283 | 280 |
262 | 288 |
277 | 296 |
295 | 281 |
274 | 300 |
272 | 290 |
265 | 284 |
275 | 304 |
263 | 291 |
251 | 277 |
289 | 317 |
242 | 292 |
284 | 215 |
241 | 287 |
276 | 280 |
200 | 311 |
278 | 283 |
283 | 293 |
269 | 285 |
282 | 276 |
267 | 301 |
282 | 285 |
272 | 277 |
277 | 270 |
261 | 275 |
257 | 290 |
278 | 288 |
295 | 287 |
270 | 282 |
268 | 275 |
286 | 279 |
262 | 300 |
272 | 293 |
268 | 290 |
283 | 313 |
256 | 299 |
206 | 300 |
277 | 265 |
252 | 285 |
265 | 294 |
263 | 262 |
281 | 297 |
268 | 272 |
280 | 284 |
289 | 291 |
283 | 306 |
263 | 263 |
273 | 304 |
209 | 288 |
259 | 256 |
287 | 290 |
269 | 284 |
277 | 307 |
234 | 273 |
282 | 283 |
276 | 250 |
272 | 244 |
257 | 231 |
267 | 266 |
204 | 504 |
270 | 284 |
285 | 227 |
273 | 269 |
269 | 282 |
284 | 292 |
276 | 286 |
286 | 281 |
273 | 296 |
289 | 287 |
263 | 285 |
270 | 281 |
279 | 298 |
206 | 289 |
270 | 283 |
270 | 247 |
268 | 279 |
218 | 276 |
251 | 288 |
252 | 284 |
284 | 301 |
278 | 309 |
277 | 284 |
208 | 284 |
271 | 286 |
208 | 303 |
280 | 308 |
269 | 288 |
270 | 303 |
294 | 306 |
292 | 285 |
289 | 289 |
290 | 292 |
215 | 295 |
284 | 283 |
283 | 315 |
279 | 290 |
275 | 247 |
223 | 268 |
220 | 283 |
281 | 305 |
268 | 279 |
272 | 287 |
268 | 285 |
279 | 298 |
217 | 279 |
259 | 274 |
291 | 205 |
291 | 302 |
281 | 296 |
230 | 282 |
276 | 300 |
225 | 284 |
282 | 281 |
276 | 279 |
289 | 255 |
288 | 210 |
268 | 279 |
242 | 286 |
283 | 293 |
277 | 285 |
285 | 288 |
293 | 289 |
248 | 281 |
278 | 297 |
285 | 314 |
292 | 295 |
282 | 257 |
287 | 298 |
277 | 211 |
266 | 275 |
268 | 247 |
273 | 279 |
270 | 303 |
256 | 286 |
297 | 287 |
280 | 287 |
256 | 275 |
262 | 243 |
268 | 274 |
262 | 299 |
293 | 291 |
290 | 281 |
274 | 303 |
292 | 269 |
Solution:

Deliverable: Word Document
