Concept explainers
(a)
To construct a comparative dot plot of the data and describe what you see.
(a)
Explanation of Solution
A comparative dot plot of the data given in the question is as follows:
For the Active data:
And for the Inactive data set:
Thus, by looking at the dot plots, we can say that the Active dot plot contains gaps, while the Inactive dot plot does not. The spread is larger for the Active data. The center is higher for the Active data, because the Active data take on higher values in general. The Active data seem to be symmetrically distributed, while the Inactive data are right-skewed.
(b)
To calculate the mean change in pain rating for each group and find the difference in the average changes for the two groups (Active minus Inactive).
(b)
Answer to Problem 76E
Explanation of Solution
In the question the active and the inactive data sets are given for the pain reliefs of the patients. Thus, the mean of the Active data set is calculated as:
And the mean of the Inactive data can be calculated as:
Thus, the difference between the means of the Active and the Inactive data is as:
(c)
To describe how you could use index cards to randomly assign the subjects to the treatment groups.
(c)
Explanation of Solution
In the question the active and the inactive data sets are given for the pain reliefs of the patients. Thus, we can use index cards to randomly assign the subjects to the treatment groups as:
First, write the numbers
(d)
To explain what conclusion would you draw about the effect of magnets on pain relief.
(d)
Explanation of Solution
In the question the active and the inactive data sets are given for the pain reliefs of the patients. Thus, the conclusion we can draw about the effect of magnets on pain relief is that in the dot plot, we note that the difference for the average change in pain rating can be both positive and negative and thus there is no statistically significant effect of magnets on pain relief.
Chapter 4 Solutions
The Practice of Statistics for AP - 4th Edition
Additional Math Textbook Solutions
Elementary Statistics: Picturing the World (7th Edition)
Elementary Statistics
Statistics: The Art and Science of Learning from Data (4th Edition)
Introductory Statistics (2nd Edition)
Basic Business Statistics, Student Value Edition
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