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 1.25