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Statistics 2
Problems from past final exams
1.
(
5 points
) The paragraph below is taken from an article in the San Francisco
Chronicle of Tuesday, March 21, 1995. The person quoted in the article is Patrick
Portway, executive director of the United States Distance Learning Association in
San Ramon, California.
Studies of high school students who took German by satellite from teachers at
Oklahoma State University found that they consistently outperformed students
taking German at their own schools, Portway noted. ”The reason is that the
instructor is a college German teacher.
He uses music videos, German cultural
films, all the media that every teacher would love to have. He has $7.5 million
TV studio at his fingertips.
Before accepting Mr. Portway’s reason, what question should you ask him?
State the question, and explain why it is relevant.
2.
(
5 points
) The quotation below is taken from an article in the San Francisco Chron
icle of July 17, 1995. The department mentioned in the quote is the Justice Depart
ment. Some words and numbers have been left out.
In a study of state civil suits in the nation’s 75 largest counties, the department’s
Bureau of Justice Statistics found that in 1992 there were 762,000 civil suits
involving torts. contracts and real property rights.
Punitive damages were
awarded in only 364 cases, the study found . . .
. . . The ___________________________ award was about___________________,
brought ___________________ from the __________________________________
award of ______________ by few ________________awards.
The missing works and numbers are somewhere in the following list:
average, median, up, down, large, small, $50,000, $735,000.
Fill in the blanks to complete the sentences. Explain your reasoning brieﬂy.
3.
(
10 points
) The average height in a group of 1,000 men is 70.5 inches; the SD
is 3 inches. The histogram follows the normal curve closely.
(a)
How many men in the group have heights in the range from 72 inches to 76
inches?
(b)
Find, approximately, the 40th percentile of height in this group.
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4.
(
5 points
) A box contains ten tickets, numbered as shown:
1
2
3
4
5
6
7
8
9
10
Three tickets are drawn at random, without replacement, from the box. Find the
chance the seven tickets left in the box include the 1, 2, and 3.
5.
(
10 points
) A distribution table for monthly rent in a certain city is shown below.
The class intervals include the left endpoint but not the right. For simplicity, the
table only covers rents below $1,000.
Rent (in Dollars)
Percentage of units
100 –
250
15
250 –
500
60
500 –
750
20
750 –
1000
5
(a)
Plot the histogram. Mark the horizontal and vertical scales carefully. Label the
axes.
(b)
A reasonable estimate for the median rent in the city (for rents under $1,000)
is _______.
6.
(10 points) Two draws are made at random with replacement from the box:
Z
E
B
R
A
(a) What is the chance different letters are drawn?
(b)
What is the chance of getting a vowel at least once in the two draws?
7.
(
10 points
) A consulting firm surveys the (nonmanagerial) employees in a large
company. The summary statistics for salary in 2003 and the years of education are
shown below:
Education:
Average = 14 years,
SD = 3 years
Salary:
Average = $41,500,
SD = $21,000
correlation coefficient = 0.40
(a)
Find the regression equation for predicting salary from years of education.
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 Spring '03
 aldous
 Statistics, Probability, Regression Analysis, ........., Simple random sample, San Francisco Chronicle

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