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Statistics Essay

2000 words - 8 pages

Test 1 Chapters 1, 2, 3
Introduction to Statistics / Math 13 − 12777 −Summer 2008 (Prof. Latham)

1. For each of the variables described below, indicate whether the variable is a quantitative or a categorical (qualitative) variable. Also, indicate the level of measurement for the variable: nominal, ordinal, interval, or ratio. Make sure your responses are the most specific possible. Indicate your choice for each by circling the appropriate answer. Variable Type of variable Level of measurement

2. Which of the following variables are best thought of as continuous, which discrete? Indicate your choice for each by circling the appropriate answer. (a) The number of personal telephone calls ...view middle of the document...

(c) If of those surveyed chose Documentary,

approximately what percentage chose Other? 5. Qwan Corporation has four departments. The double bar graph below shows how many male and female employees are in each department. Use this graph to answer the questions. 6. Below are the times (in days) it takes for a sample of customers from Andrew's computer store to pay their invoices. 19, 15, 43, 39, 14, 14, 14, 42, 42, 42, 38, 38, 34, 34. Draw the histogram for these data using an initial class boundary of and a class width of . Note that you can add or remove classes from the figure. Label each class with its endpoints.

(a) Estimate the number of females in Production. (b) Which departments have more males than females? (c) Which department has the most employees total?

ALEKS Test 1 Chapters 1, 2, 3 − 05/15/2008 11:24:15 PM PDT − Copyright © 2008 UC Regents and ALEKS Corporation 2/8

7. Methadone is a synthetic drug whose effect on the body is similar to that of morphine and heroin. Methadone has been used to help people control their addictions to these other drugs. Recently, the governor of Florida vetoed a million−dollar appropriation for several Methadone clinics in the state. Had Methadone use gotten out of hand? The following histogram summarizes information from a study of Florida Methadone clinic patients. (Florida's projected mean daily dosage per Methadone clinic patient was about milligrams.)

8. The stem−and−leaf display below gives the test scores for the students in Prof. Jones' economics class. Use the display to answer the following questions. Test scores

Key:

means a score of

.

(a) What was the highest score in the (b) What was the lowest score overall? (c) How many students scored in the

s?

s?

Based on the histogram, find the proportion of daily dosages in the sample that are at least milligrams. Write your answer as a decimal, and do not round your answer. 9. From the time of early studies by Sir Francis Galton in the late nineteenth century linking it with mental ability, the cranial capacity of the human skull has played an important role in arguments about IQ, racial differences, and evolution, sometimes with serious consequences. (See, for example, S.J. Gould, "The Mismeasure of Man," .) Suppose that the mean cranial capacity measurement for modern, adult males is 10. Four distributions, labeled (a), (b), (c), and (d), are represented below by their histograms. Without performing any calculations, order the respective means , , , and of the distributions.

cc

(cubic centimeters). Complete the following statements about the distribution of cranial capacity measurements for modern, adult males.
ALEKS Test 1 Chapters 1, 2, 3 − 05/15/2008 11:24:15 PM PDT − Copyright © 2008 UC Regents and ALEKS Corporation 3/8

(a) According to Chebyshev's theorem, at least _____% of the measurements lie within 1.5 standard deviations of the mean, cc. a. 56% b. 75% c. 84% d. 89%

(b) Suppose that the...

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