Suppose in an industrial experiment that an engineer is interested in how the me
ID: 3226636 • Letter: S
Question
Suppose in an industrial experiment that an engineer is interested in how the mean absorption of moisture in concrete varies among four different concrete aggregates. The aggregates differ in weight of a certain important ingredient. The samples are exposed to moisture for 48 hours. It is decided that 6 samples are to be tested for each aggregate, requiring a total of 24 samples to be tested. The data is recorded in the following table.
Aggregate Absorption of moisture
1 551 457 450 731 499 632
2 639 615 511 573 648 677
3 417 449 517 438 415 555
4 563 631 522 613 656 679
Which design does this follow?
A. Completely randomized design
B. none of these
C. Randomized block design
D. aXb factorial design
Refer to question and finish filling in the Anova table
Source Df SS MS F
Treatment 28,310
Error 112,507
Total
Test the equality of mean absorption of moisture for the 4 different aggregates. (in this question you will type in your steps of conducting the test. start with Ho and Ha and then your test value and then your decision and conclusion)
Also, analyze for significant differences of pairs of means.
Explanation / Answer
ANOVA:
We performed 1 way ANOVA to test difference among samples.
H0: no difference
Ha: significant difference
Based on p-value (<0.05) we conclude that there is significant difference
Anova: Single Factor SUMMARY Groups Count Sum Average Variance A1 6 3320 553.3333 12133.87 A2 6 3663 610.5 3593.5 A3 6 2791 465.1667 3318.567 A4 6 3664 610.6667 3455.467 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 84930.83 3 28310.28 5.032625 0.009262 3.098391 Within Groups 112507 20 5625.35 Total 197437.8 23