(12 pts) A serial production company wants to know whether or not the average am
ID: 3021155 • Letter: #
Question
(12 pts) A serial production company wants to know whether or not the average amounts of serial consumed by each person in three states are the same. From each state, 10 people are selected. Here comes a partial result. Based on this data, an ANOVA table is being made.
Wisconsin: 38, 28, 64, 47, …. (a total of 10 values)
Illinois: 65, 27, 44,… (a total of 10 values)
Minnesota: 54, 33, 29,… (a total of 10 values)
Source
Sum of squares
d.f.
Mean squares
F
Between (states)
250
( )
( )
()
Within (states)
140
( )
( )
Total
( )
( )
(2 pts) Write the hypotheses
H0:
H1:
(7 pts) Complete the above ANOVA table based on the problem description. (a total of 7 places). Directly write in the table. No equation needs to be shown.
(3 pts) The company wants to make a decision with a=0.01. If the CV is 5.49. What is the decision? (Explain how you got the decision, too.)
Source
Sum of squares
d.f.
Mean squares
F
Between (states)
250
( )
( )
()
Within (states)
140
( )
( )
Total
( )
( )
Explanation / Answer
(12 pts) A serial production company wants to know whether or not the average amounts of serial consumed by each person in three states are the same. From each state, 10 people are selected. Here comes a partial result. Based on this data, an ANOVA table is being made.
Wisconsin: 38, 28, 64, 47, …. (a total of 10 values)
Illinois: 65, 27, 44,… (a total of 10 values)
Minnesota: 54, 33, 29,… (a total of 10 values
(2 pts) Write the hypotheses
H0: Average amounts of serial consumed by each person in three states are the same.
H1: Average amounts of serial consumed by each person in three states are the not same.
(7 pts) Complete the above ANOVA table based on the problem description. (a total of 7 places). Directly write in the table. No equation needs to be shown.
Source
SS
Df
MS
F
Between
250
2
125
24.1071
within
140
27
5.1852
Total
390
29
(3 pts) The company wants to make a decision with a=0.01. If the CV is 5.49. What is the decision? (Explain how you got the decision, too.)
Calculated F=24.1071 > 5.49 the critical value.
The null hypothesis is rejected.
There is enough evidence to conclude that average amounts of serial consumed by each person in three states are different.
Source
SS
Df
MS
F
Between
250
2
125
24.1071
within
140
27
5.1852
Total
390
29
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