(a)
To conduct: an analysis of variance and test for a difference in the mean reaction times due to the five stimuli.
(a)
Answer to Problem 11.56SE
The data provide sufficient evidence to indicate a difference in mean reaction times due to the five stimuli.
Explanation of Solution
Given:
Stimulus | Reaction Time (sec) | Total | Mean | ||||||
A | |||||||||
B | |||||||||
C | |||||||||
D | |||||||||
E |
Calculation:
Now, we want to test there is any difference in mean reaction times.
To test the null hypothesis,
Versus the alternative hypothesis,
We have,
The test statistic is given by,
Interpretation: The P-value from the above printout is
Hence, we can conclude that the data provide sufficient evidence to indicate a difference in mean reaction times due to the five stimuli.
Conclusion: Therefore, the data provide sufficient evidence to indicate a difference in mean reaction times due to the five stimuli.
(b)
To compare: stimuli A and D to check whether there is a difference in mean reaction times.
(b)
Answer to Problem 11.56SE
The data provide sufficient evidence to indicate a difference between
Explanation of Solution
Calculation:
We can test the null hypothesis,
Versus the alternative hypothesis,
Furthermore, the standard deviations of the two samples, calculated as
The pooled estimate of the common variance as,
We have,
The test statistic is given by,
We can find the appropriate critical value for a rejection region with
Conclusion: Hence we conclude that the data provide sufficient evidence to indicate a difference between
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Chapter 11 Solutions
EP INTRODUCTION TO PROBABILITY+STAT.
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill