Concept explainers
(a)
To find: The mean yields of the control group and treatment group.
(a)
Answer to Problem 8CT
The mean yields of the control group and treatment group
Explanation of Solution
Given:
Bone density (g/cm2)
Control group | ||||||||
Treatment group |
Calculation:
The mean
Here
And
The mean yield of the control group is given by
The mean score of the treatment group is given by
Conclusion:
Hence, the mean yields of the control group and treatment group are
(b)
To find: The experimental difference of the means.
(b)
Answer to Problem 8CT
The experimental difference of the means is
Explanation of Solution
Given:
Bone density (g/cm2)
Control group | ||||||||
Treatment group |
Calculation:
Experimental difference of the mean is the difference of the mean of treatment group and the mean of the control group.
Thus,
Conclusion:
Hence, the experimental difference of the means is
(c)
To display: The data in double dot plot.
(c)
Answer to Problem 8CT
It is concluded that the vitamin supplement has no effect on bone density.
Explanation of Solution
Given:
Bone density (g/cm2)
Control group | ||||||||
Treatment group |
Calculation:
Double dot plot for the given data is
From the above double dot plot you can conclude that the vitamin supplement has no effect on bone density.
Conclusion:
Hence, the double dot plot is displayed and concluded that the vitamin supplement has no effect on bone density.
(d)
To find: The conclusion about the hypothesis.
(d)
Answer to Problem 8CT
The hypothesis is probably true.
Explanation of Solution
Given:
Bone density (g/cm2)
Control group | ||||||||
Treatmentgroup |
Calculation:
The hypothesis is probably true.
The hypothesis assumes the difference of the mean is
Conclusion:
Hence, The hypothesis is probably true and the difference of the mean is
Chapter 11 Solutions
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