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1) which of the
following statements about the median is not true?
- a. it is more affected by extreme values
than the mean. - b.
it is a measure of central tendency. - c.
it is equal to Q2 - it
is equal to the mode in bell-shaped “normal” distributions.
2) according to the
empirical rule, if the data form a “bell-shaped” normal distribution, ____
percent of the observations will be contained within 2 standard deviations
around the mean.
a.
68.26
b.
88.89
c.
93.75
d.
95.44
Table 3-1
health care issues
are receiving much attention in both academic and political arenas. A
sociologist recently conducted a survey of citizens over 60 years of age whose
net worth is too high to qualify for medicaid and have no private health
insurance. the ages of 25 uninsured senior citizens were as follows:
60 61 62 63 64 65 66
68 68 69 70 73 73 74 75 76 76 81 81 82 86 87 89 90 92
3) Referring to table
3-1 identify which of the following is the correct statement.
a.
one fourth of the senior citizens sampled are
below 65.5 years of age.
b.
the middle 50% of the senior citizens sampled are between 65.5 and 73.0
years of age.
c.
the average age of senior citizens sampled is 73.5 years of age.
d.
all of the above are correct.
4) Selection of
raffle tickets from a large bowl is an example of:
a.
sampling with replacement
b.
sampling without replacement
c.
subjective probability
d.
none of the above.
5) the collection of
all possible events is called.
a.
a simple probability.
b.
a sample space.
c.
a joint probability.
d.
the null set.
6) A business venture
can result in the following outcomes (with their corresponding chance of
occurring in parentheses) : Highly Successful (10%), Successful (25%) Break
Even (25%) Disappointing (20%), and Highly Disappointing (?). If these are the
only outcomes possible for the business venture, what is the chance that the
business venture will be considered Highly Disappointing?
a.
10%
b.
15%
c.
20%
d.
25%
7) The probability
that house sales will increase in the next 6 months is estimated to be 0.25.
The probability that the interest rates on housing loans will go up in the same
period is estimated to be 0.74. the probability that house sales or interest
rates will go up during the next 6 months is estimated to be 0.89. the events
of increase in house sales and increase in interest rates in next 6 months are:
a.
statistically independent.
b.
mutually exclusive
c.
collectively exhaustive
d.
none of the above
8) The probability
that a new advertising campaign will increase sales is assessed as being 0.80.
The probability that the cost of developing the new ad campaign can be kept
within the original budget allocation is 0.40. Assuming that the two events are
independent, the probability that the cost is not kept within budget or the
campaign will not increase sales is:
a.
0.12
b.
0.32
c.
0.68
d.
0.88
9) What type of
probability distribution will most likely be used to analyze the number of
chocolate chip parts per cookie in the following problem?
The quality control
manager of Marilyn’s cookies is inspecting a batch of chocolate chip cookies.
When the production process is in control, the average number of chocolate chip
parts per cookie is 6.0. The manager is interested in analyzing the probability
that any particular cookie being inspected has fewer than 5.0 chip parts.
a.
binomial distribution
b.
poisson distribution
c.
normal distribution
d.
hypergeometric distribution
Table 4-1
Mothers against drunk
driving is a very visible group whose main focus is to educate the public about
the harm caused by drunk drivers. A study was recently done that emphasized the
problem we all face with drinking and driving. four hundred accidents that
occurred on a saturday night were analyzed. two items noted were the number of
vehicles involved and whether alcohol played a role in the accident. the
numbers are shown below:
Did alcohol play a
role? number of vehicles involved
totals
1
2
3
yes
50
100
20
170
no
25
175
30
230
totals
75
275
50
400
10) referring to
table 4-1, what proportion of accidents involved alcohol and a single vehicle?
a.
25/400
b.
50/400
c.
195/400
d.
245/400
11) If the
expectation of a sampling distribution is located at the parameter it is
estimating, then we call that sampling distribution.
a.
unbiased.
b.
minimum variance
c.
biased
d.
random
12) for air travelers,
one of the biggest complaints is of the waiting time between when the airplane
taxis away from the terminal until the flight takes off. this waiting time is
known to have a skewed-right distribution with a mean of 10 minutes and a
standard deviation of 8 minutes. Supposed 100 flights have been randomly
sampled. Describe the sampling distribution of the mean waiting time between
when the airplane taxis away from the terminal until the flight takes off for
these 100 flights.
a.
distribution is skewed-right with mean = 10 minutes and standard error =
0.8 minutes.
b.
distribution is skewed-right with mean = 10 minutes and standard error =
8 minutes
c.
distribution is approximately normal with mean
= 10 minutes and standard error = 0.8 minutes
d.
distribution is approximately normal with mean = 10 minutes and standard
error = 8 minutes.
13) Which of the
following statements about the sampling distribution of the sampling
distribution of the sample mean is incorrect?
a.
the sampling distribution of the sample mean is approximately normal
whenever the sample size is sufficiently large (n>_ 30)
b.
the sampling distribution of the sample mean is generated by repeatedly
taking samples of size n and computing the sample means.
c.
the mean of the sampling distribution of the sample mean is equal to U.
d.
thestandard deviation of
the sampling distribution of the sample mean is equal to O (squiggly upper)
14) .. why is the
central limit theorem so important to the study of sampling distributions?
a.
it allows us to disregard the size of the sample selected when the
population is not normal.
b.
it allows us to disregard the shape of the sampling distribution when
the size of the population is large.
c.
it allows us to disregard the size of the population we are sampling
from.
d.
it allows us to disregard the shape of the
population when n is large.
15)
supposed a sample of
n=50 items is drawn from a population of manufactured products and the weight,
x, of each item is recorded. prior experience has shown that the weight has a
probability distribution with U =6 ounces and O = 2.5 ounces. which of the
following is true about the sampling distribution of the sample mean if a
sample of size 15 is selected?
a.
the mean of the sampling
distribution is 6 ounces
b.
the standard deviation of the sampling distribution is 2.5 ounces
c.
the shape of the sample distribution is approximately normal.
d.
all of the above are correct.
16.
major league baseball
salaries average $1.5 million with a standard deviation of $0.8 million in
1994. Suppose a sample of 100 major league players was taken. find the
approximate probability that the average salary of the 100 players exceeded $1
million.
a.
approximately 0
b.
0.2357
c.
0.7357
d.
approximately 1
17.
the standard error of
the proportion will become larger
a.
as p approaches 0.
b.
as p approaches 0.50
c.
as p approaches 1.00
d.
as n increases.
18.
Table 5-6
the mean selling
price of new homes in a city over a year was $115,000. the population standard
deviation was $25,000. a random sample of 100 new home sales from this city was
taken.
referring to table
5-6, without doing the calculations, state in which of the following ranges the
sample selling price is most likely to lie.
a.
$113,000 — $115,000
b.
$114,000 — $116,000
c.
$115,000 — $117,000
d.
$116,000 — $118,000
19.
which of the
following is not true about the student’s t distribution?
a.
it has more area in the tails and less in the center than does the
normal distribution.
b.
it is used to construct confidence intervals
for the population mean when the population standard deviation is known.
c.
it is bell shaped and symmetrical
d.
as the number of degrees of freedom increases, the t distribution
approaches the normal distribution.
20.
The head librarian at
the library of congress has asked her assistant for an interval estimate of the
mean number of books checked out each day. the assistant provides the following
interval estimate: from 740 to 920 books per day. if the head librarian knows
that the population standard deviation is 150 books checked out per day, and
she asked her assistant to use 25 days of data to construct the interval
estimate, what confidence level can she attache to the interval estimate?
a.
99.7%
b.
99.0%
c.
98.0%
d.
95.4%
???
4) Selection of
raffle tickets from a large bowl is an example of:
- sampling
with replacement
f.
sampling without replacement
g.
subjective probability
h.
none of the above.
5) the collection of
all possible events is called.
- a
simple probability.
f.
asample space.
g.
a joint probability.
h.
the null set.
