Research into cigarette-smoking habits, smoking prevention, and cessation programs necessitates accurate measurement of smoking behavior. However, decreasing social acceptability of smoking appears to cause significant underreporting. Chemical markers for cigarette use can provide objective indicators of smoking behavior. One widely used noninvasive marker is the level of saliva thiocyanate (SCN). In a Minneapolis school district, 1332 students in eighth grade (ages 12–14) participated in a study [12] whereby they (1) Viewed a film illustrating how recent cigarette use could be readily detected from small samples of saliva (2) Provided a personal sample of SCN (3) Provided a self-report of the number of cigarettes smoked per week The results are given in Table 3.10. TABLE 3.10 Relationship between SCN levels and self-reported cigarettes smoked per week Source: Based on the American Journal of Public Health , 71 (12), 1320, 1981. Suppose the self-reports are completely accurate and are representative of the number of eighth-grade students who smoke in the general community. We are considering using an SCN level ≥ 100 μ g/mL as a test criterion for identifying cigarette smokers. Regard a student as positive if he or she smokes one or more cigarettes per week. What is the PV + of the test?
Research into cigarette-smoking habits, smoking prevention, and cessation programs necessitates accurate measurement of smoking behavior. However, decreasing social acceptability of smoking appears to cause significant underreporting. Chemical markers for cigarette use can provide objective indicators of smoking behavior. One widely used noninvasive marker is the level of saliva thiocyanate (SCN). In a Minneapolis school district, 1332 students in eighth grade (ages 12–14) participated in a study [12] whereby they (1) Viewed a film illustrating how recent cigarette use could be readily detected from small samples of saliva (2) Provided a personal sample of SCN (3) Provided a self-report of the number of cigarettes smoked per week The results are given in Table 3.10. TABLE 3.10 Relationship between SCN levels and self-reported cigarettes smoked per week Source: Based on the American Journal of Public Health , 71 (12), 1320, 1981. Suppose the self-reports are completely accurate and are representative of the number of eighth-grade students who smoke in the general community. We are considering using an SCN level ≥ 100 μ g/mL as a test criterion for identifying cigarette smokers. Regard a student as positive if he or she smokes one or more cigarettes per week. What is the PV + of the test?
Research into cigarette-smoking habits, smoking prevention, and cessation programs necessitates accurate measurement of smoking behavior. However, decreasing social acceptability of smoking appears to cause significant underreporting. Chemical markers for cigarette use can provide objective indicators of smoking behavior. One widely used noninvasive marker is the level of saliva thiocyanate (SCN). In a Minneapolis school district, 1332 students in eighth grade (ages 12–14) participated in a study [12] whereby they
(1) Viewed a film illustrating how recent cigarette use could be readily detected from small samples of saliva
(2) Provided a personal sample of SCN
(3) Provided a self-report of the number of cigarettes smoked per week
The results are given in Table 3.10.
TABLE 3.10 Relationship between SCN levels and self-reported cigarettes smoked per week
Source: Based on the American Journal of Public Health, 71(12), 1320, 1981.
Suppose the self-reports are completely accurate and are representative of the number of eighth-grade students who smoke in the general community. We are considering using an SCN level ≥ 100 μg/mL as a test criterion for identifying cigarette smokers. Regard a student as positive if he or she smokes one or more cigarettes per week.
An electronics company manufactures batches of n circuit boards. Before a batch is approved for shipment,
m boards are randomly selected from the batch and tested. The batch is rejected if more than d boards in
the sample are found to be faulty.
a) A batch actually contains six faulty circuit boards. Find the probability that the batch is rejected when
n = 20, m = 5, and d = 1.
b) A batch actually contains nine faulty circuit boards. Find the probability that the batch is rejected when
n = 30, m = 10, and d = 1.
Twenty-eight applicants interested in working for the Food Stamp program took an examination designed
to measure their aptitude for social work. A stem-and-leaf plot of the 28 scores appears below, where the
first column is the count per branch, the second column is the stem value, and the remaining digits are the
leaves.
a) List all the values.
Count
1
Stems
Leaves
4
6
1
4
6
567
9
3688
026799
9
8
145667788
7
9
1234788
b) Calculate the first quartile (Q1) and the third Quartile (Q3).
c) Calculate the interquartile range.
d) Construct a boxplot for this data.
Pam, Rob and Sam get a cake that is one-third chocolate, one-third vanilla, and one-third strawberry as shown below. They wish to fairly divide the cake using the lone chooser method. Pam likes strawberry twice as much as chocolate or vanilla. Rob only likes chocolate. Sam, the chooser, likes vanilla and strawberry twice as much as chocolate. In the first division, Pam cuts the strawberry piece off and lets Rob choose his favorite piece. Based on that, Rob chooses the chocolate and vanilla parts. Note: All cuts made to the cake shown below are vertical.Which is a second division that Rob would make of his share of the cake?
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