Detergent manufacturers frequently make claims about effectiveness of their product. A consumer-protection service decided to test the five best selling brands of detergent in three water temperatures...

Detergent manufacturers frequently make claims about effectiveness of their product. A consumer-protection service decided to test the five best selling brands of detergent in three water temperatures on their claim of producing the “whitest whites”.  One hundred and fifty white sheets were equally soiled.  Thirty sheets were washed in each of the five brands; 10 in cold water, 10 in warm water and 10 in hot water.  After washing, the “whiteness” was measured with laser equipment.

1. Perform the appropriate post-hoc analyses and clearly state your conclusions about the performance of the different brands in lukewarm water.

Temperature	Dtrgent1	Dtrgent2	Dtrgent3	Dtrgent4	Dtrgent5
Cold	66	83	70	44	84
Cold	87	62	75	59	67
Cold	55	61	62	47	99
Cold	41	85	68	60	85
Cold	68	75	72	79	73
Cold	49	78	92	62	74
Cold	52	68	70	73	76
Cold	57	66	71	64	82
Cold	66	93	74	69	79
Cold	62	81	80	81	79
Lukewarm	78	63	71	70	87
Lukewarm	65	47	88	80	100
Lukewarm	68	88	90	78	83
Lukewarm	75	74	85	72	82
Lukewarm	57	71	78	71	93
Lukewarm	48	71	69	75	76
Lukewarm	84	71	60	101	87
Lukewarm	69	68	80	81	76
Lukewarm	55	80	61	87	70
Lukewarm	78	68	89	84	78
Hot	99	82	97	85	84
Hot	87	85	98	83	95
Hot	57	72	79	94	82
Hot	84	71	60	89	74
Hot	93	72	84	77	97
Hot	64	77	58	100	87
Hot	90	73	79	92	80
Hot	85	88	86	102	76
Hot	64	75	91	93	91
Hot	84	77	75	86	96

Extracted text: ANOVA Source of Variation df MS P-value E crit Between Groups 1711.6 4 427.9 3.945476 0.007899 2.578739 Within Groups 4880.4 45 108.4533 Total 6592 49