Practice Quiz Statistics College Edition
MULTIPLE CHOICE.
Choose the one alternative that best completes the statement or answers
the question.
Determine whether the given value is a statistic or a
parameter.
1.) After inspecting all of 55,000kg of meat stored at the
Wurst Sausage Company, it was found that 45,000 kg of the meat was spoiled.
2.) Determine whether the given value is from a discrete or
continuous data set.
The temperature of a cup of coffee is 67.3°F.
3.) Determine which of the four levels of measurement
(nominal, ordinal, interval, ratio) is most appropriate.
Survey responses of "good, better, best".
4.) Identify which of these types of sampling is used:
random, stratified, systematic, cluster, convenience.
A market researcher selects 500 people from each of 10
cities.
A) Cluster
B) Random
D) Systematic
E) Convenience
5.)Provide an appropriate response.
An education expert is researching teaching methods and
wishes to interview teachers from a particular school district. She randomly
selects ten schools from the district and interviews all of the teachers at the
selected schools. Does this sampling plan result in a random sample? Simple
random sample? Explain.
No; yes. The sample is not random because teachers in small
schools are more likely to be selected than teachers in larger schools. It is a
simple random sample because all samples have the same chance of being
selected.
Yes; yes. The sample is random because all teachers have
the same chance of being selected. It is a simple random sample because all
samples have the same chance of being selected.
No; no. The sample is not random because teachers in small
schools are more likely to be selected than teachers in larger schools. It is
not a simple random sample because some samples are not possible, such as a
sample that includes teachers from schools that were not selected.
D)
Yes; no. The sample is random because all teachers have the
same chance of being selected. It is not a simple random sample because some
samples are not possible, such as a sample that includes teachers from schools
that were not selected.
6.) ESSAY. Write your
answer in the space provided or on a separate sheet of paper. You will need to
show your work on these problems!
Last year nine employees of an electronics company
retired. Their ages at retirement were:
B
56 65
62
53 68
58
67 52
56
a) Find the Mean retirement age. _59.67____
b) Find the Median. _58____
c) Find the Midrange. __60___
7.)Find
the variance for the given data. Round your answer to two decimal places.
Be sure
to show ALL work and calculations!
b) Find the standard deviation for these
data. _ Variance = 38.20; SD = 6.18 __ .
work:

values


dev. from mean

dev. Squared



18


6.2

38.44



16


4.2

17.64



12


0.2

0.04



2


9.8

96.04



11


0.8

0.64


Mean =

11.8


0

38.20

Variance





6.18

SD

8.)Determine which score corresponds to the higher relative
position.
Which is better: a score of 82 on a test with a mean of 70
and a standard deviation of 8, or a score of 82 on a test with a mean of 75 and
a standard deviation of 4? Show all work!
Work:
(82 – 70)/8 = 1.5 =z(82 – 75)/4 =1.75
= z The larger z score is better.
9.)Use the given sample data to find Q3. Always
show your calculations!
49 52
52 52 74
67 55 55
Work:
49
52
52 52
55 55 67 74 Answer is (55 + 67)/2 = 61, which reflects
the Median of the upper half of the scores.
D)67.0
10. ) The test scores of 40 students are listed below. Find P56. Please
show all work! 10)_23rd_____
30 35
43 44 47
48 54 55
56 57
59 62
63 65 66
68 69 69
71 72
72 73
74 76 77
77 78 79
80 81
81 82 83 85
89 92 93
94 97 98
Work:
P56
= 40*56/100 = 22.4 as the 23^{rd} position; a 74 is in the 23^{rd}
position.