Q5 Homework
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Problem 1. The Political Science Association believes that the mean level of political support for Latino candidates is 40 points with a standard deviation of 10. Determine the percentile ranks of these seven candidates:
y = 37, y = 20, y = 51, y = 59, y = 35, y = 45, y = 40
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Problem 2. The “truth in politics” scale (TIP) is an instrument designed to measure the integrity of elected officials. The TIP has a mean of 42 and a standard deviation of 18. The more the candidate has lied, the higher her or his score on the TIP scale.
a. What is the percentile rank of a politician who scores 18.96?
b. What is the percentile rank of a politician who scores 54?
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Problem 3. Army personnel are expected to conform to established weight and fitness standards. Mean weight is 200 lbs. The standard deviation is 35 lbs. What is the percentile rank of a soldier who weighs 174.1?
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Problem 4. A random sample of jails was taken in a statewide survey. Based on a mean jail size of 8,000 square feet (standard deviation of 2500. What is the percentage of jails in the state that are under 5000 square feet?
a. 32.13% b. 11.51% c. 97.72% d. 2.28%
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Problem 5. Inmates are one of the largest groups of under-educated adults in the nation. The Comprehensive Adult Student Assessment System (CASAS) is a popular adult basic education tool that evaluates life skills (math and reading) of persons enrolled in basic education classes. The mean CASAS score is 200 with a standard deviation of 25. What is the percentile rank of an inmate who scores 191?
(a) 35th pr (b) 45th pr (c) 18th pr (d) 86th pr
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Problem 6.
For each of the problems below, convert the requested scores, draw the normal curve, place the mean in the center, and locate the approximate Z-Score location relative to the mean.
a. What is the percentile rank of a score of 420 when = 500 and s = 100?
b. What is the percentile rank of a score of 59.79 when = 67 and s = 7.21?
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