Your plant manager wants to determine the effect of ice cream flavor run on chan
ID: 3323110 • Letter: Y
Question
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
Strawberry to vanilla
Vanilla to chocolate
3.8
3.8
6.1
6.8
4.5
4.3
6.4
4.8
6.8
6
4.9
6.2
5.1
4.3
5.8
6.4
4.9
3.6
3.5
5.9
4
4.1
5.8
3.6
Chocolate to strawberry
Strawberry to vanilla
Vanilla to chocolate
3.8
3.8
6.1
6.8
4.5
4.3
6.4
4.8
6.8
6
4.9
6.2
5.1
4.3
5.8
6.4
4.9
3.6
3.5
5.9
4
4.1
5.8
3.6
Explanation / Answer
Ans:
df(between)=3-1=2
df(within)=24-3=21
p-value=0.786
As,p-value>0.05,we fail to reject null hypothesis.
There is not sufficient evidence to conclude that there is a difference in changeover times based on the flavors.
Chocolate to strawberry Strawberry to vanilla Vanilla to chocolate 1 3.8 3.8 6.1 2 6.8 4.5 4.3 3 6.4 4.8 6.8 4 6 4.9 6.2 5 5.1 4.3 5.8 6 6.4 4.9 3.6 7 3.5 5.9 4 8 4.1 5.8 3.6 mean 5.263 4.863 5.050 std dev. 1.316 0.711 1.305Related Questions
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