Question

	Emergency Condition
Display Panel	1	2	3	4
A	18	26	33	14
	18	26	36	14
B	15	22	30	12
	11	18	31	5
C	22	28	35	10
	23	32	38	15

Two-way ANOVA: Time versus Panel, Condition
Source	DF	SS	MS	F	P
Panel	2	144.542	144.542	25.32	.0000
Condition	3	1,647.12	549.042	96.18	.0000
Interaction	6	24.25	4.042	.71	.6498
Error	12	68.50	5.708
Total	23	2,028.96

Tabulated statistics: Panel, Condition
Rows:	Panel	Columns:	Condition
	1	2	3	4	All
A	15.00	26.00	34.50	13.00	22.13
B	13.00	20.00	30.50	7.50	17.75
C	22.50	30.00	36.50	16.00	26.25
All	17.67	25.33	33.83	12.17	22.04

  

35 30 25 20 15 10 3 Panel A Panel B Panel C

(e) Make pairwise comparisons of emergency conditions 1, 2, 3, and 4 by using Tukey simultaneous 95 percent confidence intervals. (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.)

u1 – u2:	[ ,  ]
u1 – u3:	[ ,  ]
u1 – u4:	[ ,  ]
u2 – u3:	[ ,  ]
u2 – u4:	[ ,  ]
u3 – u4:	[ ,  ]

(f) Which display panel minimizes the time required to stabilize an emergency condition? Does your answer depend on the emergency condition? Why?

(Click to select)Panel APanel BPanel C minimizes the time required to stabilize an emergency condition. (Click to select)YesNo, there is (Click to select)someno interaction.

(g) Calculate a 95 percent (individual) confidence interval for the mean time required to stabilize emergency condition 4 using display panel B. (Round your answers to 2 decimal places.)

  Confidence interval         [ ,  ]

Answer 1

Answer:

MINITAB used.

The ANOVA results are different for this given data.

Analysis of Variance

Source	DF	Adj SS	Adj MS	F-Value	P-Value
Panel	2	228.58	114.292	19.32	0.000
condition	3	1651.00	550.333	93.01	0.000
Panel*condition	6	32.75	5.458	0.92	0.512
Error	12	71.00	5.917
Total	23	1983.33

(e) Make pairwise comparisons of emergency conditions 1, 2, 3, and 4 by using Tukey simultaneous 95 percent confidence intervals. (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.)

Tukey Simultaneous Tests for Differences of Means

Difference of condition Levels	Difference of Means	SE of Difference	Simultaneous 95% CI	T-Value	Adjusted P-Value
2 - 1	7.50	1.40	(3.33, 11.67)	5.34	0.001
3 - 1	16.00	1.40	(11.83, 20.17)	11.39	0.000
4 - 1	-6.17	1.40	(-10.34, -2.00)	-4.39	0.004
3 - 2	8.50	1.40	(4.33, 12.67)	6.05	0.000
4 - 2	-13.67	1.40	(-17.84, -9.50)	-9.73	0.000
4 - 3	-22.17	1.40	(-26.34, -18.00)	-15.78	0.000

Individual confidence level = 98.83%

u1 – u2:	[-11.67 ,-3.33  ]
u1 – u3:	[-20.17,-11.83  ]
u1 – u4:	[2.00 , 10.34 ]
u2 – u3:	[ -12.67, -4.33 ]
u2 – u4:	[9.50 ,17.84  ]
u3 – u4:	[ 18.00, 26.34 ]

(f) Which display panel minimizes the time required to stabilize an emergency condition? Does your answer depend on the emergency condition? Why?

(Click to select)Panel BPanel minimizes the time required to stabilize an emergency condition. (Click to select)No, there is (Click to select)No interaction.

(g) Calculate a 95 percent (individual) confidence interval for the mean time required to stabilize emergency condition 4 using display panel B. (Round your answers to 2 decimal places.)

  Confidence interval         [ -7.19, 24.19 ]

Mean=8.5 and se= 7.2

T table value at 0.05 level=2.179

Lower limit= 8.5-2.179*7.2 = -7.1888

upper limit= 8.5+2.179*7.2 = 24.1888

Means

Term	Fitted Mean	SE Mean
Panel
A	23.125	0.860
B	18.000	0.860
C	25.375	0.860
condition
1	17.833	0.993
2	25.333	0.993
3	33.833	0.993
4	11.667	0.993
Panel*condition
A 1	18.00	1.72
A 2	26.00	1.72
A 3	34.50	1.72
A 4	14.00	1.72
B 1	13.00	1.72
B 2	20.00	1.72
B 3	30.50	1.72
B 4	8.50	1.72
C 1	22.50	1.72
C 2	30.00	1.72
C 3	36.50	1.72
C 4	12.50	1.72