In: Statistics and Probability
To test the effectiveness of various denture adhesives, an instrument called the TA.XT2i Texture Analyzer made by Texture Technologies Corp., was used to measure the amount of force required to separate dentures from a mouth and gum cast. The force required for separation was recorded in decigrams. The adhesives were:
(A) karaya;
(B) karaya with sodium borate;
(C) carboxymethylcellulose sodium (32%) and ethylene oxide homopolymer, and
(D) carboxymethylcellulose sodium (49%) and ethylene oxide homopolymer.
Assume the amount of the force required to separate among the four types of adhesives are normally distributed.
A |
B |
C |
D |
|
71 |
76 |
75 |
80 |
|
79 |
70 |
81 |
82 |
|
80 |
90 |
60 |
91 |
|
72 |
80 |
66 |
95 |
|
88 |
76 |
74 |
84 |
|
66 |
82 |
58 |
72 |
|
T(i) |
456 |
474 |
414 |
504 |
X-bar(i) |
76 |
79 |
69 |
84 |
S(i)-square |
62 |
46 |
83.2 |
66.8 |
CSS(i) |
310 |
230 |
416 |
334 |
1. Test the hypothesis showing all steps
2. Analyze with one-way ANOVA to test the hypothesis that there is any significant differences between the three type of treatments at both: 95% level of significance and 90% level of significance
3. Would a post hoc test be necessary at both 95% level of
significance and 90% level of significance?