Your plant manager want to determine the effect of ice cream flavor run on chang
ID: 3318281 • Letter: Y
Question
Your plant manager want to determine the effect of ice cream flavor run on changeover time.(10 points) Your plant manager wants to determine the effect of ice cream flavor run on changeover time between batches for the three different changeovers that your plant does. You collect the following data. Is there a difference in changeover times based on the flavors? Perform a full hypothesis test at the 0.05 level and state your conclusion. Chocolate to strawberry 3.8 6.8 6.4 Strawberry to vanilla 3.8 4.5 4.8 4.9 4.3 4.9 5.9 5.8 Vanilla to chocolate 6.1 4.3 6.8 6.2 5.8 3.6 4 3.6 5.1 6.4 3.5 4.1
Explanation / Answer
ho: there is no significant difference in the mean changeover time between different flavors of ice-cream.
h1: there is significant difference in the mean changeover time between different flavors of ice-cream.
One-way ANOVA: ch -stw, stw-vani, vani-ch
Method
Null hypothesis All means are equal
Alternative hypothesis At least one mean is different
Significance level = 0.05
Equal variances were assumed for the analysis.
Factor Information
Factor Levels Values
Factor 3 ch -stw, stw-vani, vani-ch
Analysis of Variance
Source DF Adj SS Adj MS F-Value P-Value
Factor 2 0.6408 0.3204 0.24 0.786
Error 21 27.5775 1.3132
Total 23 28.2183
Model Summary
S R-sq R-sq(adj) R-sq(pred)
1.14596 2.27% 0.00% 0.00%
Means
Factor N Mean StDev 95% CI
ch -stw 8 5.263 1.316 (4.420, 6.105)
stw-vani 8 4.862 0.711 (4.020, 5.705)
vani-ch 8 5.050 1.305 (4.207, 5.893)
Pooled StDev = 1.14596
with F = .24 and p-value > .05 i fail to reject ho and conclude that there is no significant difference in the mean changeover time between different flavors of ice-cream
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