Download Multiple Choice Review

Multiple Choice Review
Chapters 5 and 6
1) The heights of adult women are approximately
normally distributed about a mean of 65 inches, with a
standard deviation of 2 inches. If Rachel is at the 99th
percentile in height for adult women, then her height, in
inches, is closest to
A)60
B) 62
D) 70
E) 74
C) 69
2)Which of the following is the best estimate
of the standard deviation of the distribution
shown in the figure?
A) 5
B) 10
C) 30
D) 50
E) 60
3) A company wanted to determine the health care costs of
its employees. A sample of 25 employees were
interviewed and their medical expenses for the previous
year were determined. Later the company discovered that
the highest medical expense in the sample was mistakenly
recorded as 10 times the actual amount. However, after
correcting the error, the correct amount was still greater
than or equal to any other medical expense in the sample.
Which of the following sample statistics must have
remained the same after the correction was made?
A) Mean
B) Median
D) Range
E) Variance
C) Mode
4)Suppose that the distribution of a set of scores has
a mean of 47 and a standard deviation of 14. If 4 is
added to each score, what will be the mean and
the standard deviation of the distribution of new
scores?
(A)
Mean
51
Standard Deviation
14
(B)
51
18
(C)
47
14
(D)
47
16
(E)
47
18
5) “Normal” body temperature varies by time of day.
A series of readings was taken of the body
temperature of a subject. The mean reading was
found to be 36.5 C with a standard deviation of
0.3C. When converted to F, the mean and
standard deviation are ….
[F = C(1.8) + 32]
A) 97.7, 32
B) 97.7, 0.30
C) 97.7, 0.54
D) 97.7, 0.97
E) 97.7, 1.80
6) Vanessa is enrolled in a very large college calculus class. On
the first exam, the class mean was 75 and the standard
deviation was 10. On the second exam, the class mean was 70
and the standard deviation was 15. Vanessa scored 85 on both
exams. Assuming the scores on each exam were approximately
normally distributed, on which exam did Vanessa score better
relative to the rest of the class?
A) It is impossible to tell because the class size is not given.
B) It is impossible to tell because the correlation between the two
sets of exams is not given.
C) She scored much better on the first exam.
D) She scored much better on the second exam.
E) She scored about equally well on both exams.
7) The boxplots summarize two data sets, A and B. Which of the
following must be true?
A) Set A contains more data than Set B.
B) The box of Set A contains more data than the box of Set B.
C) The data in Set A have a larger range than the data in Set B.
D) The data in Set A have a smaller
interquartile range than the
data in Set B.
E) The minimum and maximum
in Set A are larger than the
minimum and maximum
in Set B.
8) The weights of men are approximately normally distributed. The
coach of a football team monitors each team players weight through
out the season. This week, the z-score of weight for a member of the
football team is 1.25. Which of the following is a correct interpretation
of this z-score?
(A)This week the member weighs 1.25 lb. more than last week.
(B) This week the member weighs 1.25 lb. less than last week.
(C) This week the member weighs 1.25 lb. more than the average
football player on this team.
(D) This week the member weighs 1.25 standard deviations more than
the he did last week.
(E) This week the member weighs 1.25 standard deviations more than
the average football player on this team.
9) For a given school year, a reporter has been
told that the average teacher’s salary was
$59,500 with a standard deviation of $17,200.
The reporter also knows that teachers will be
receiving raises of 3.25% for the next school year.
What would the reporter write for the new
average teacher’s salary and standard deviation?
x  $61,433.75
s  $17,759
10) Prices of condominiums in a certain city are
distributed approximately normal with a mean value of about
$100,000 and a standard deviation of $10,000.
a) What proportion of the condos have a value of less
than $90,000?
The proportion of condos with a value of less than
$90,000 is 0.16.
b) The middle 95% of the condo prices lie between what two
values?
The middle 95% of the condo prices lie between
$80,000 and $120,000
1)D
2) B
3) B
4) A
5) C
6) E
7) C
8) E