Download Math 227 Summer 2006 Instr:Wong Ch2 to 4 Test Name:

Math 227 Spring 2009 Instr:Wong Ch3&4 Test
Name:___________________________
#1
6pt.
Find the standard deviation of 2.8 , 3.2 , 1.4 , 2.0 , 2.6
#2
For the data given below,
12 23 35 9 20 41 53 19 30 28 6 10
3pt.
(a) Find the mean
3pt.
(b) Find the median
4pt.
(c) Find P63 .
4pt.
(d) Find the percentile rank of 19.
#3
8pt.
Based on the data provided for #2 to find the five numbers summary and
construct a boxplot.
#4
5pt.
The quiz scores for Ch2 had a bell-shaped curve distribution. If the mean of the test
scores was 13.8 and the standard deviation was 1.4. Would it be unusual for a student
to score a 16 on the Ch2 quiz? Use the Empirical rule to explain your conclusion.
#5
6pt.
Heights of women have a mean of 63.6 in. and a standard deviation of 2.5 in. Use the
Chebyshev's theorem to approximate the percentage of the heights of women will fall
between 56.1 in. and 71.1 in.?
#6
6pt.
A student scored 86 on a general science test where the class mean and standard
deviation were 82 and 8 respectively; he also scored 61 on a psychology test where
the class mean and standard deviation were 58 and 3 respectively. In which class
was his relative position higher?
#7
4pt.
The Everlast and Endurance brands of car battery are both labeled as lasting 48 months.
In reality, they both have a mean life of 50 months, but the Everlast Batteries have a
standard deviation of 2 months, while the Endurance batteries have a standard deviation
of 6 months. Which brand is the better choice? Why?
Everlast Batteries:
x  50 , x  48, s  2
Endurance Batteries: x  50 , x  48, s  6
#8
1pt.
each
True/False
______________
(a) The standard deviation, s, is not effected by extreme data.
______________
(b) If the data distribution is skewed to one-side, x should be
used for the center of measurements.
______________
(c) 5/4 cannot be an answer for a probability.
______________
(d) On a five possible answers multiple-choice question, the
probability of answering the question correctly by random
guessing is 1/2.
______________
(e) Having kids and being single are mutually exclusive events.
#9
4pt.
A study of 150 randomly selected American Airlines flights showed that 108 arrived
on time. What is the estimated probability of an American Airlines flights arriving late?
#10
4pt.
A card is selected randomly from a deck of cards, what is the probability that a face
card (Jack, Queen, King) or a club will be selected
#11
6pt.
Two dice are tossed. What is the probability of getting a sum of 8?
#12
Listed below are the Titanic mortality data.
Men
Survived
Died
Women
Boys
Girls
332
318
29
27
1360
104
35
18
5pt.
(a) If we randomly select someone who was aboard the Titanic, what is the
probability of getting a man or a person who survived?
5pt.
(b) What is the probability of getting a woman, given the selected person died?
#13
5pt.
A carton contains 12 eggs, 3 of which are cracked. If we randomly select 2 eggs,
one after the other without replacement, what is the probability that both of the
cracked eggs are selected?
#14
5pt.
There are 9 members on the board of directors for a hospital. If they must elect a
chairperson, first vice chairperson, second vice chairperson, and secretary, how
many different slates of candidates are possible?
#15
6pt.
A lottery ticket has a color, R = red, B = blue, or G = green, followed by a 1, 2, 3, or 4.
List the elements in the sample space. Use the set notation S = { }.
#16
6pt.
It is claimed that 70% of the residents in a large town approve of the current zoning law.
Four residents are to be randomly selected. Find the probability that at least one approves.