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
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?
| Burst Strength of PVC Pipes (psi) | |||
| Temperature | PVC1 | PVC2 | PVC3 |
| Hot (70 C) | 250 | 301 | 235 |
| 273 | 285 | 260 | |
| 281 | 275 | 279 | |
| Warm (40 C) | 321 | 342 | 302 |
| 322 | 322 | 315 | |
| 299 | 339 | 301 | |
| Cool (10 C) | 358 | 375 | 328 |
| 363 | 355 | 336 | |
| 341 | 354 | 342 | |
(a-1)Choose the correct row-effect hypotheses.
| a. | H0:A1A2A3 0 | Temperature means differ |
| H1: All theAjare equal to zero | Temperature means are the same | |
| b. | H0:A1=A2=A3= 0 | Temperature means are the same |
| H1: Not all theAjare equal to zero | Temperature means differ |
multiple choice 1
- a
- b
(a-2)Choose the correct column-effect hypotheses.
| a. | H0:B1B2B3 0 | PVC type means differ |
| H1: All theBkare equal to zero | PVC type means are the same | |
| b. | H0:B1=B2=B3= 0 | PVC type means are the same |
| H1: Not all theBkare equal to zero | PVC type means differ |
multiple choice 2
- a
- b
(a-3)Choose the correct interaction-effect hypotheses.
| a. | H0: Not all theABjkare equal to zero | there is an interaction effect |
| H1: All theABjkare equal to zero | there is no interaction effect | |
| b. | H0: All theABjkare equal to zero | there is no interaction effect |
| H1: Not all theABjkare equal to zero | there is an interaction effect |
multiple choice 3
- a
- b
(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, andp-values to 4 decimal places.)
| Table of Means | ||||
| Factor 2 (PVC Type) | ||||
| Factor 1 (Temperature) | PVC1 | PVC2 | PVC3 | Total |
| Hot (70C) | ||||
| Warm (40C) | ||||
| Cool (10C) | ||||
| Total | ||||
| Two-Factor ANOVA with Replication | |||||
| Source | SS | df | MS | F | p-value |
| Factor 1 (Temperature) | |||||
| Factor 2 (PVC Type) | |||||
| Interaction | |||||
| Error | |||||
| Total | |||||
(c)Using= 0.05, choose the correct statement. multiple choice 4
- The main effects of temperature and PVC type are significant, but there is not a significant interaction effect.
- The main effect of temperature is significant; however, there is no significant effect from PVC type or interaction between temperature and PVC type.
- The main effect of PVC type is significant; however, there is no significant effect from temperature or interaction between temperature and PVC type.
(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 yourt-values andcritical values to 2 decimal places and other answers to 1 decimal place.) Post hoc analysis for Factor 1:
| Tukey simultaneous comparisont-values (d.f. = 18) | ||||
| Hot (70C) | Warm (40C) | Cool (10C) | ||
| Hot (70C) | ||||
| Warm (40C) | ||||
| Cool (10C) | ||||
| Critical values for experimentwise error rate: | ||||
| 0.05 | ||||
| 0.01 | ||||
Post hoc analysis for Factor 2:
| Tukey simultaneous comparisont-values (d.f. = 18) | ||||
| PVC3 | PVC1 | PVC2 | ||
| PVC3 | ||||
| PVC1 | ||||
| PVC2 | ||||
| Critical values for experimentwise error rate: | ||||
| 0.05 |
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Financial Accounting
Authors: Craig Deegan
9th Edition
1743767382, 9781743767382
