Total number of observations: 47 Inference of Performance Score by Smoker status: Group Means with 95% Confidence Intervals

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Write the null and alternative hypotheses for carrying out an analysis of variance (ANOVA) on these data

Total number of observations: 47
======:
Inference of Performance Score by Smoker status:
Group Means with 95 Confidence Intervals
Lower
Mean
Upper
active
20.73
28.87
37.00
non smoker
40.98
48.65
56.31
passive
28.78
39.93
51.08
One-way Analysis of Variance (ANOVA F-test)
F = 5.6049,
p-value = 0.0067857
### Difference in mean Performance_Score between Smoker_status groups
(col group -
row group)
Estimates
active
non smoker
non smoker
-19.78
passive
-11.07
8.714
95% Confidence Intervals (adjusted for multiple comparisons)
active
non smoker
non smoker
-34.117
-5.444
passive
-25.845
-5.623
3.711
23.051
P-values
active
non smoker
non smoker
0.0047
passive
0.1761
0.31
Transcribed Image Text:Total number of observations: 47 ======: Inference of Performance Score by Smoker status: Group Means with 95 Confidence Intervals Lower Mean Upper active 20.73 28.87 37.00 non smoker 40.98 48.65 56.31 passive 28.78 39.93 51.08 One-way Analysis of Variance (ANOVA F-test) F = 5.6049, p-value = 0.0067857 ### Difference in mean Performance_Score between Smoker_status groups (col group - row group) Estimates active non smoker non smoker -19.78 passive -11.07 8.714 95% Confidence Intervals (adjusted for multiple comparisons) active non smoker non smoker -34.117 -5.444 passive -25.845 -5.623 3.711 23.051 P-values active non smoker non smoker 0.0047 passive 0.1761 0.31
In an investigation on the effect of cigarette smoking on cognitive ability,
47 subjects were classified into 3 groups: those who had never smoked (non_smoker),
those who were smokers but had not smoked for 24 hours (passive), and those who
were smokers and had been smoking in the 24 hours before the experiment (active).
Subjects were then given a complex task to perform and scored for performance
on the task. We will use an analysis of variance (ANOVA) to determine whether
there is a difference in mean performance score amongst the three levels of smoking
status. An excerpt from the ANOVA results from iNZight is shown below:
Transcribed Image Text:In an investigation on the effect of cigarette smoking on cognitive ability, 47 subjects were classified into 3 groups: those who had never smoked (non_smoker), those who were smokers but had not smoked for 24 hours (passive), and those who were smokers and had been smoking in the 24 hours before the experiment (active). Subjects were then given a complex task to perform and scored for performance on the task. We will use an analysis of variance (ANOVA) to determine whether there is a difference in mean performance score amongst the three levels of smoking status. An excerpt from the ANOVA results from iNZight is shown below:
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Step 1

Answer :

This is an ANOVA test for three groups,i.e. non smokers, passive smokers and active smokers.

 

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