(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

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