***If possible, please do ANOVA table on minitab software, show all steps and wo
ID: 3224553 • Letter: #
Question
***If possible, please do ANOVA table on minitab software, show all steps and work, and write full solution trail****
11.16 Manufacturing and Product Development
Breitling sells men’s gold, silver, and titanium watchbands. A random sample of each type was obtained (in similar styles), and the weight of each watchband (in grams) was recorded. The data are given in the following table.
a. Conduct an analysis of variance test to determine whether there is any evidence that the mean weights of any two watchband types are different. Include an ANOVA table. Use alpha = 0.01. Write a Solution Trail for this problem.
b. Compute the sample mean weight for each sample. Given your conclusion in part (a), which pair(s) of population means do you think are different?
Watch Band Observation Gold 7.9 7.2 7.8 8.1 7.9 8.3 9.9 Silver 9.5 7.0 8.7 7.6 7.5 9.3 7.3 6.9 Titanium 6.7 7.1 6.5 7.1 5.5 6.7 4.9 3.9Explanation / Answer
————— 21/04/2017 3:43:20 PM ————————————————————
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MTB > OneWay;
SUBC> Response 'reponse';
SUBC> Categorical 'watch brand';
SUBC> Confidence 90;
SUBC> IType 0;
SUBC> Tukey 5;
SUBC> Fisher 5;
SUBC> GMCI;
SUBC> TGrouping;
SUBC> GIntPlot;
SUBC> GFourpack;
SUBC> TMethod;
SUBC> TFactor;
SUBC> TANOVA;
SUBC> TSummary;
SUBC> TMeans;
SUBC> Nodefault.
One-way ANOVA: reponse versus watch brand
Method
Null hypothesis All means are equal
Alternative hypothesis At least one mean is different
Significance level = 0.1
Equal variances were assumed for the analysis.
Factor Information
Factor Levels Values
watch brand 3 1, 2, 3
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
watch brand 2 20.73 10.367 9.75 0.001
Error 20 21.26 1.063
Total 22 42.00
Model Summary
S R-sq R-sq(adj) R-sq(pred)
1.03111 49.37% 44.31% 33.32%
Means
watch
brand N Mean StDev 90% CI
1 7 8.114 0.840 (7.442, 8.786)
2 8 7.975 1.038 (7.346, 8.604)
3 8 6.050 1.165 (5.421, 6.679)
Pooled StDev = 1.03111
Tukey Pairwise Comparisons
Grouping Information Using the Tukey Method and 95% Confidence
watch
brand N Mean Grouping
1 7 8.114 A
2 8 7.975 A
3 8 6.050 B
Means that do not share a letter are significantly different.
Tukey Simultaneous 95% CIs
Fisher Pairwise Comparisons
Grouping Information Using the Fisher LSD Method and 95% Confidence
watch
brand N Mean Grouping
1 7 8.114 A
2 8 7.975 A
3 8 6.050 B
Means that do not share a letter are significantly different.
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