Question

A random sample of 6 factory workers were asked to spend one week each, trying one of 3 assembly methods. The number of items
they produced during each week was recorded. Here are the results:
		Method 1	Method 2	Method 3
Worker 1		15	15	18
Worker 2		14	14	14
Worker 3		11	10	15
Worker 4		12	13	17
Worker 5		13	16	16
Worker 6		13	13	13
At the .01 level of significance (alpha = .01) test whether there is a difference in the methods.
Which one appears to result in the highest production level?

Answer 1

Anova: Two-Factor Without Replication
SUMMARY	Count	Sum	Average	Variance
worker 1	3	51	17	3
worker2	3	42	14	0
worker3	3	36	12	7
worker4	3	42	14	7
worker5	3	45	15	3
worker6	3	39	13	0
method 1	6	78	13	2
method 2	6	84	14	7.6
method 3	6	93	15.5	3.5
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Rows	44.5	5	8.9	4.238095	0.024964	3.325835
Columns	19	2	9.5	4.52381	0.039884	4.102821
Error	21	10	2.1
Total	84.5	17

F stat for method = 4.52

p value = 0.039

p avlue < 0.05,so reject Ho

there is difference in methods

...................

method 3  appears to result in the highest production level

....................

THANKS

revert back for doubt

please upvote