Please provide full readable answers Q3. Considerthe following scenario: A manuf

Question

Please provide full readable answers

Q3. Considerthe following scenario: A manufacturer makes silicon strain gauge transducers that are designed to produce a linear voltage outputthat is directly proportional to the applied pressure. Six different processing lines are used to manufacture the gauges. In this application an important physical property of the silicon layer formed to fabricate the gauge is its Young's modulus. There have been some calibration problems with the gauges and an engineer suspects that one of the process lines is producing a mean value of Young's modulus that is differentfrom that of the otherprocessing The Young's modulus of the silicon was measured from a random sample offour gauges taken from each of the processing lines. The results [in GPal are given in the table below Your manager asks you to test the engineer's hypothesis by performing an analysis of variance at the 0.05 level of significance. He has, moreover, heard about 'Six Sigma' and asks you to advise if its introduction would alleviate any supposed issues with the manufacturing of the gauges du pdate your mama results of vour auahsis and the introduction od Si Sigma oth the metlio Processing line 175 169 158 186 4 146 167 208 189 175 192 165 205 6 183 162 175 201 164 192 203 157 178 189 154

Explanation / Answer

Hypothesis

Ho: Process lines are producing the same mean value of Young's modulus.

H1: One of the process lines is producing a mean value of Young's modulus that is different from that of the other processing.

One-way ANOVA: modulus versus Process

Source DF SS MS F P
Process 5 534 107 0.31 0.902
Error 18 6264 348
Total 23 6798

S = 18.65 R-Sq = 7.85% R-Sq(adj) = 0.00%

Conclusion: The estimated p-value is 0.902. Hence, we can not reject the null hypothesis and conclude that the process lines are producing the same mean value of Young's modulus at 0.05 level of significance.

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.