Researchers in Philadelphia investigated whether pamphlets containing informatio
ID: 3206489 • Letter: R
Question
Researchers in Philadelphia investigated whether pamphlets containing information for cancer patients are written at a level that the cancer patients can comprehend. They applied tests to measure the reading levels of 63 cancer patients and also the readability levels of30 cancer pamphlets (based on such factors as the lengths of sentences and number of polysyllabic words). These numbers correspond to grade levels, but patient reading levels of under grade 3 and above grade 12 are not determined exactly. The following tables indicate the number of patients at each reading level and the number of pamphlets at each readability level. The dotplots reveal the distributions on the same scale (with "below 3" appearing at level 2 and "above 12 at level 13 for convenience). From the dotplots, what do see about the pamphlet's reading level in relationship to the patient's reading levels? What implications do this have? Explain why the form of the data does not allow one to calculate the mean reading skill level of patient. Determine the median reading level of a patient. (Be sure to consider the counts.) Determine the median readability level of a pamphlet. How do these medians compare? Are they fairly close? Does the closeness of these medians indicate that the pamphlets are well matched to the patients' reading levels? Compare the dotplots above to guide your thinking. What proportion of the patients do not have the reading skill level necessary to read even the simplest pamphlet in the study? (Examine the dotplots to address this question.) How well does the numerical analysis support the observations you made in question 1? MORAL of the Story: While measures of Center are often important, they do not summarize all aspects of a distribution.Explanation / Answer
a)
We can see that patients upto reading level of 5 do not have the reading level skills needed for a pamhplet. This means that 17 out of 63 people do not have the reading level skills to read even the simplest pamphlet in the study.
b)
Because the outliers do not give a finite number and to calculate mean we need a finite number. Here it is given as <3 and 12>.
c)
Reading level
Counts
7
2
12
2
5
3
6
3
3
4
4
4
10
4
9
5
<3
6
8
6
11
7
12>
17
If we go by the counts, then we get (4+10)/2=7 as the answer
d)
Median readability level is 11 (Not going by the counts)
e)
As per the dotplots (looking at the dotplots) and considering distribution scale, both of them come to 11. So they are the same.
f)
No as the patients till readibility level 5 (based on the scale) would not be able to read even a simple pamhplet as can be seen in the dotplots.
g)
We can see that patients upto reading level of 5 do not have the reading level skills needed for a pamhplet. This means that 17 out of 63 people do not have the reading level skills to read even the simplest pamphlet in the study.
h)
It comprehends the situation made in question 1
Reading level
Counts
7
2
12
2
5
3
6
3
3
4
4
4
10
4
9
5
<3
6
8
6
11
7
12>
17
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