Concept explainers
(a)
To find: themean score of the control group.
(a)
Answer to Problem 3E
The mean score of the control group is 46.
Explanation of Solution
Given:
Depression score | ||||
Control group | 49 | 45 | 43 | 47 |
Treatment group | 39 | 40 | 39 | 37 |
Depression score | ||||
Control group | 46 | 45 | 47 | 46 |
Treatment group | 41 | 40 | 42 | 43 |
Calculation:
The mean
Here,
And n represents, how many numbers are there in the sample.
The mean score of the control group is given by
Conclusion:
Therefore, the mean score of the control group is 46.
(b)
To find: the mean scoreof the treatment group.
(b)
Answer to Problem 3E
The mean score of the treatment group is 35.125.
Explanation of Solution
Calculation:
The mean score of the treatment group is given by
Conclusion:
Therefore, the mean score of the treatment group is 35.125.
(c)
To find: the experimental difference of the means.
(c)
Answer to Problem 3E
The experimental difference of the mean is -10.875.
Explanation of Solution
Calculation:
Experimental difference of the mean is the difference of the mean of treatment group and the mean of the control group.
Thus,
Conclusion:
Therefore, the experimental difference of the mean is -10.875.
(d)
To display: the data in a double dot plot.
(d)
Answer to Problem 3E
Explanation of Solution
Calculation:
Double dot plot for the given data is
Conclusion:
Therefore, the Double dot plot is displayed.
(e)
To explain: the conclusion.
(e)
Answer to Problem 3E
It is concluded that the music therapy may be effective in reducing depression scores of college students.
Explanation of Solution
Calculation:
The plot of the data shows that the two data sets tend to be fairly symmetric and have no extreme values (outliers). So, the mean is a suitable measure of center.
Thus, It is concludedthat the music therapy may be effective in reducing depression scores of college students.
Conclusion:
Therefore, It is concludedthat the music therapy may be effective in reducing depression scores of college students.
Chapter 11 Solutions
Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015
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