would you reject or fail to reject the null hypothesis at the 5% level of significance ? Justify your answer briefly. State yourconclusion that relates to the variables tested 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 whowere 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 performanceon the task. We will use an analysis of variance (ANOVA) to determine whetherthere is a difference in mean performance score amongst the three levels of smokingstatus. An excerpt from the ANOVA results from iNZight is shown below: Total number of observations: 47======:Inference of Performance Score by Smoker status:Group Means with 95 Confidence IntervalsLowerMeanUpperactive20.7328.8737.00non smoker40.9848.6556.31passive28.7839.9351.08One-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)Estimatesactivenon smokernon smoker-19.78passive-11.078.71495% Confidence Intervals (adjusted for multiple comparisons)activenon smokernon smoker-34.117-5.444passive-25.845-5.6233.71123.051P-valuesactivenon smokernon smoker0.0047passive0.17610.31

in an investigation on the effect of cigarette smoking on cognitive ability, jects were classified into 3 groups: those who had never smoked (non smoker), vho were smokers but had not smoked for 24 hours (passive), and those who nokers and had been smoking in the 24 hours before the experiment (active). ts were then given a complex task to perform and scored for performance task. We will use an analysis of variance (ANOVA) to determine whether sa difference in mean performance score amongst the three levels of smoking An excerpt from the ANOVA results from iNZight is shown below:

in an investigation on the effect of cigarette smoking on cognitive ability, jects were classified into 3 groups: those who had never smoked (non smoker), vho were smokers but had not smoked for 24 hours (passive), and those who nokers and had been smoking in the 24 hours before the experiment (active). ts were then given a complex task to perform and scored for performance task. We will use an analysis of variance (ANOVA) to determine whether sa difference in mean performance score amongst the three levels of smoking An excerpt from the ANOVA results from iNZight is shown below:

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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Question

would you reject or fail to reject the null hypothesis at the 5% level of significance ? Justify your answer briefly. State your
conclusion that relates to the variables tested

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:

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

Expert Solution

Step 1

Solution:

Given information:

n= 47 total number of observation.

k= 3 groups

$α = 0.05$ Level of significance.

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