BUS/ST 350
Reiland
EXAM 1 Practice Problems
Material covered
:
Course Pack
: Lecture Unit 1, Lecture Unit 2, Lecture Unit 3
WARNING:
these practice problems may not cover all the material for which you are responsible!
1.
The heights of American men aged 18 to 24 are approximately symmetric and mound shaped with
mean 68 inches and standard deviation 2.5 inches.
Half of all young men are shorter than
a)
65.5 inches
b) 68 inches
c) 70.5 inches
d) can't tell because the median height is not given
2.
Use the information in Problem 1.
What percent of young men are taller than 6' 1" ?
a) 94.5%
b) 44.5%
c)
5.5%
d) 2.5%
3.
A Consumer Reports article on energy bars gave the brand name, flavor, price, number of calories, and
grams of protein and fat.
Describe the Who, What, Why, Where, When, How.
What variables are
categorical?
What variables are quantitative?
4.
Suppose for a set of data
we calculate
(
4.51, then the standard
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B
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(
3
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8
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deviation is
a) .75
b) .87
c) .64
d) .80
e) none of the above
5.
A standardized test designed to measure math anxiety has a mean of 100 and a standard deviation
of 10 in the population of first year college students.
Which of the following observations would
you suspect is an outlier?
a) 150
b) 100
c) 90
d) all of the above
e) none of the above
6.
Which of the following best describes a risk in using the sample range to measure spread?
Choose one of the following:
a)
The statistic is not in the same unit of measurement as the observations themselves.
b)
The largest or smallest observation may be a mistake or an outlier.
c)
It is complicated to compute, which may result in an error.
d)
It always produces spreads that are too large.
7.
The following 2way table shows students by major and home state for a small private school in the
northeast U.S.
Major Program of Study
Biology
Accounting
History
Education
PA
80
65
55
100
NJ
50
40
65
95
NY
75
50
45
80
MD
65
55
40
40
Home State
a.
Find the marginal distribution for home state.
b.
Find the conditional distribution (in percentages) of major distribution for the home state of NJ.
c.
Find the conditional distribution (in percentages) of home state distribution for the biology major.
8.
Twentyeight applicants interested in working for the Food Stamp program took an examination designed to
measure their aptitude for social work.
The following test scores were obtained:
79, 93, 84, 86, 77, 63, 46, 97, 87, 88, 87, 92, 68, 72, 86, 98, 81, 70, 66, 98, 59, 76, 68, 91, 94, 85, 88, 79.
a.
Find
.
U
"
b.
Construct a boxplot for these observations.
Do you observe any outliers?
9.
Two students are enrolled in an introductory statistics course at the University of Florida.
The first student
is in a morning section and the second student is in an afternoon section.
If the student in the morning
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Practice Problems Exam 1
section takes a midterm and earns a score of 76, while the student in the afternoon section takes a midterm
with a score of 72, which student has performed better compared to the rest of the students in his respective
class?
For the morning class, the class mean was 64 with a standard deviation of 8.
For the afternoon class,
the class mean was 60 with a standard deviation of 7.5.
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 Spring '08
 reiland
 Standard Deviation, Simple random sample

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