Three samples of each of three types of PVC pipe of equal wall thickness are tes

Question

Three samples of each of three types of PVC pipe of equal wall thickness are tested to failure under three temperature conditions, yielding the results shown below. Research questions Is mean burst strength affected by temperature and/or by pipe type? Is there a "best brand of PVC pipe? h of PVC Pipes PVC3 231 260 277 302 312 301 325 PVC1 PVC2 301 285 278 Hot (70° C) 272 282 318 318 302 Warm (40° C) 324 341 376 352 359 Cool (10° C) 339 (b) Fill in the missing data. (Round your table of means values to 1 decimal place, SS and F values to 2 decimal places, MS values to 3 decimal places, and p-values to 4 decimal places.) Table of Means Factor 2 PVC1 PVC3 Factor 1 (Temperature) Hot (70 Degrees C) Warm (40 Degrees C) Cool (10 Degrees C) PVC2 Total Total Two-Factor ANOVA with Replication MS Factor 1 (Temperature) Factor 2 (PVC Type) Interaction Total (d) Perform Tukey multiple comparison tests. (Input the mean values within the input boxes of the first row and input boxes of the first column. Round your tvalues and critical values to 2 decimal places and other answers to 1 decimal place.) Post hoc analysis for Factor 1 Tukey simultaneous comparison t-values (d.f. 18 Hot (700 (C Warm (400 C) Cool (10° C) Hot (700 C) Warm (40° C) Cool (10 C) critical values for experimentwise error rate 0.05 0.01 Post hoc analysis for Factor 2 son t-values (d f = 18 PVC1 taneous compe PVC3 PVC1 critical values for experimentwise error rate 0.05 0.01

Explanation / Answer

We have to find average for each PVC , as follows :

And ANOVA table is :

We have to plug given data in Excel , then click on DATA --- Select Data analysis

Select ANOVA : Two factor with Replacement .

Select whole datain input range .

Plug rows per sample = 3

Alpha : 0.05

Select any empty cell as output range .

Then click on OK

Temp PVC1 PVC2 PVC3 Hot 268 288 256 Warm 312.6667 336.6667 305 Cool 353 362.3333 332.6667

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