The times (in minutes) to assemble a computer component for 3 different machines
ID: 3436368 • Letter: T
Question
The times (in minutes) to assemble a computer component for 3 different machines are listed in the table below. Workers are randomly selected.
Machine1
Machine 2
Machine 3
32
35
28
30
29
25
31
38
29
32
33
31
34
32
29
35
36
a) Assuming all conditions are met, test the claim that there is a difference in mean assembly time for each machine using a 5% level of significance. Use the P-value approach.
b) What provides visual support for your decision in part (a)? Explain.
Please use the P-value Approach for all hypothesis tests. Follow all the steps used in hypothesis testing
Machine1
Machine 2
Machine 3
32
35
28
30
29
25
31
38
29
32
33
31
34
32
29
35
36
Explanation / Answer
Set up hypotheses as
H0: All machines take equal assembling time
Ha: Atleast two take different time
Alpha = 0.05
Let us prepare anova table and check.
p value = 0.00668
As p value >0.05, accept null hypothesis.
Mean for all are near the overall mean.
x1 x2 x3 Total Mean 31.33 34 28.25 31.19 std dev 1.752 2.944 2.5 std error 0.715 1.113 1.25Related Questions
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