An engineer is designing a pushrod for a pump which will be subject to a wide ra
ID: 3180330 • Letter: A
Question
An engineer is designing a pushrod for a pump which will be subject to a wide range of temperatures. They wish to select a suitable material for the pushrod and conduct an experiment using three possible materials at three possible temperature levels where the measured response is thousands of cycles to failure. The results of the experiment are shown below: Use ANOVA analysis with a 95% confidence level to determine if there is any effect of temperature, material type, or their interaction, on the component life.Explanation / Answer
The null and alternative hypothesis can be written as
H01:There is no effect of temperature on other component life.
H02:The effect of material type is not present on other component life.
H03:The interaction effect is absent on other component life.
Alternative Hypothesis:
Ha1:There is effect of temperature on other component life.
Ha2:The effect of material type is present on other component life.
Ha3:The interaction effect is present on other component life.
Using excel
Data--->Data Analysis->ANOVA Two factor with replication the output obtained is shown below
From the above output ,the p-value obtained for material type is 0.0496 which is less than the signifiance level of 0.05.Also the p-value obtained for temperaure is less than 0.05 and similarly the p-value for interaction is less than 0.05.Therefore ,it can be said that the all the factors are significant at the 0.05 level of significance.
Anova: Two-Factor With Replication SUMMARY 15 70 125 Total 1 Count 4 4 4 12 Sum 705 229 230 1164 Average 176.25 57.25 57.5 97 Variance 72.91667 556.9167 721 3794.181818 2 Count 4 4 4 12 Sum 623 532 198 1353 Average 155.75 133 49.5 112.75 Variance 656.25 150 371 2597.295455 3 Count 4 4 4 12 Sum 576 494 342 1412 Average 144 123.5 85.5 117.6666667 Variance 674.6667 166.3333 371.6667 971.5151515 Total Count 12 12 12 Sum 1904 1255 770 Average 158.6667 104.5833 64.16667 Variance 576.6061 1476.629 659.0606 ANOVA Source of Variation SS df MS F P-value F crit Material Type 2797.389 2.000 1398.694 3.365 0.0496 3.354 Temperature 53955.056 2.000 26977.528 64.906 0.000 3.354 Material Type*Temperature 15815.611 4.000 3953.903 9.513 0.000 2.728 Within 11222.25 27 415.6389 Total 83790.31 35