I need help with this one:

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

Click here for the Excel Data File

(a-1) Choose the correct row-effect hypotheses.

a. H0: A1 A2 A3 0

Temperature means differ

H1: All the Aj are equal to zero

Temperature means are the same

b. H0: A1 = A2 = A3 = 0

Temperature means are the same

H1: Not all the Aj are equal to zero

Temperature means differ

multiple choice 1

a

b

(a-2) Choose the correct column-effect hypotheses.

a. H0: B1 B2 B3 0

PVC type means differ

H1: All the Bk are equal to zero

PVC type means are the same

b. H0: B1 = B2 = B3 = 0

PVC type means are the same

H1: Not all the Bk are equal to zero

PVC type means differ

multiple choice 2

a

b

(a-3) Choose the correct interaction-effect hypotheses.

a. H0: Not all the ABjk are equal to zero

there is an interaction effect

H1: All the ABjk are equal to zero

there is no interaction effect

b. H0: All the ABjk are equal to zero

there is no interaction effect

H1: Not all the ABjk are 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, and p-values to 4 decimal places.)

Table of Means

Factor 2 (PVC Type)

Factor 1 (Temperature) PVC1 PVC2 PVC3 Total

Hot (70 C)

Warm (40 C)

Cool (10 C)

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 your t-values 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 (70 C) Warm (40 C) Cool (10 C)

Hot (70 C)

Warm (40 C)

Cool (10 C)

Critical values for experimentwise error rate:

0.05

0.01

Post hoc analysis for Factor 2:

Tukey simultaneous comparison t-values (d.f. = 18)

PVC3 PVC1 PVC2

PVC3

PVC1

PVC2

Critical values for experimentwise error rate:

0.05

0.01