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Suppose 30% of the U.S. population has green eyes. If a random sample of size 1200
U.S. citizens is drawn, then the probability that less than 348 U.S. citizens have green
eyes is _______.
a) 0.2236
b) 0.2764
c) 0.2900
d) 0.7764
e) 0.3336
When constructing a weighted aggregate price index, the weights usually are _____.
a) prices of substitute items
b) prices of complementary items
c) quantities of the respective items
d) squared quantities of the respective items
e) quality of individual items
A researcher is testing a hypothesis of a single mean. The critical zvalue for = .05 and a
two"tailed test is +1.96. The observed zvalue from sample data is -2.11. The decision
made by the researcher based on this information is to _____ the null hypothesis.
a) reject
b) fail to reject
c) redefine
d) change the alternate hypothesis into
e) restate the null hypothesis
Use the following set of observed frequencies to test the independence of the two
variables. Variable one has values of 'A' and 'B'; variable two has values of 'C', 'D', and
'E'.
Using
= 0.05, the critical chi-square value is _______.
a) 9.488
b) 1.386
c) 8.991
d) 3.357
e) 5.991
Discrete Components, Inc. manufactures a line of electrical resistors. Presently, the
carbon composition line is producing 100 ohm resistors. The population variance of
these resistors "must not exceed 4" to conform to industry standards. Periodically, the
quality control inspectors check for conformity by randomly selecting 10 resistors from
the line, and calculating the sample variance. The last sample had a variance of 4.36.
Assume that the population is normally distributed. Using = 0.05, the null hypothesis is
_________________.
a) = 100
b) 10
c) s24
d) 2= 4
e) n= 100
You are conducting a study on the blood glucose levels of 9 patients who are on strict
diets and exercise routines. To monitor the mean and range of the blood glucose levels
of your patients, you take a blood glucose reading every day for each patient for 20
days. The results are shown below. The mean of the 9 sample means is 101.03, and the
mean of the 9 ranges is 86.9. The results are shown below.
From the chart we conclude that________.
a) the glucose level is not in control for the nine patients on the diet and exercise
program.
b) the glucose level means over the 20-day period fall within the control limits for the
nine patients on the diet and exercise program.
c) exactly one mean is out of the control limits
d) some of the patients are not on a strict diet and exercise routine.
e) exactly two patients are out of the control limits
Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order
business, but after scanning the list she doubts the authenticity of the list. She randomly
selects five names from the list for validation. If 40% of the names on the list are
non-authentic, and x is the number of non-authentic names in her sample, P(x<2) is
______________.
a) 0.3370
b) 0.9853
c) 0.9785
d) 0.2333
e) 0.5000
A multiple regression analysis produced the following tables.
The sample size for this analysis is ____________.
a) 19
b) 17
c) 34
d) 15
e) 18
The number of bags arriving on the baggage claim conveyor belt in a 3 minute time
period would best be modeled with the _________.
a) binomial distribution
b) hypergeometric distribution
c) Poisson distribution
d) hyperbinomial distribution
e) exponential distribution
Suppose a researcher is interested in understanding the variation in the price of store
brand milk. A random sample of 36 grocery stores selected from a population and the
mean price of store brand milk is calculated. The sample mean is $3.13 with a standard
deviation of $0.23. Construct a 95% confidence interval to estimate the population
mean.
a) $3.03 to $3.23
b) $3.12 to $3.14
c) $3.05 to $3.21
d) $2.90 to $3.36
e) $3.06 to $3.20
For the following ANOVA table, the critical value of the studentized range distribution
using
= 0.05 is ______
a) 1.86
b) 3.94
c) 9.17
d) 1.65
e) 1.79
If the population proportion is 0.90 and a sample of size 64 is taken, what is the
probability that the sample proportion is more than 0.89?
a) 0.1064
b) 0.2700
c) 0.3936
d) 0.6064
e) 0.9000
Suppose the owners of a new bed and breakfast establishment are interested in
conducting an experiment to determine effective advertisement strategies for increasing
the number of reservations. The bed and breakfast owners intend to rotate
advertisements for 12 weeks between a travel website, a travel magazine and a local
billboard. Customers making reservations will be asked if they saw the advertisement.
In this experiment, the independent variable is ________________.
a. advertisement venue
b. bed and breakfast establishment
c. travel website
d. number of reservations
e. number of customer calls
If x, the time (in minutes) to complete an change job at certain auto service station, is
uniformly distributed over the interval 20 to 30, inclusively (20 x 30), then the
probability that an oil change job is completed in 21.75 to 24.25 minutes, inclusively,
i.e., P(21.75 x 24.25) is __________________.
a) 0.250
b) 0.333
c) 0.375
d) 0.000
e) 1.000
The ages of students in a class have been put into the frequency distribution below.
What is the standard deviation for this (population) set of data?
a) 0.494
b) 0.703
c) 1.12
d) 1.25
e) 1.35
Medical Wonders is a specialized interior design company focused on healing artwork.
The CEO, Kathleen Kelledy claims that artwork has healing effects for patients staying
in a hospital, as measured by reduced length of stay. Her current client is a children's
cancer hospital. Kathleen is interested in determining the effect of three different pieces
of healing artwork on children. She chooses three paintings (a horse photo, a bright
abstract, and a muted beach scene) and randomly assigns six hospital rooms to each
painting. In Kathleen's experimental design "painting style" is _______.
a) the dependent variable
b) a concomitant variable
c) a treatment variable
d) a blocking variable
e) a response variable
A researcher is interested in estimating the difference in two population proportions. A
sample of 400 from each population results in sample proportions of .61 and .64. A 90%
confidence interval for the difference in the population proportions is _______.
a) -0.10 to 0.04
b) -0.09 to 0.03
c) -0.11 to 0.05
d) -0.07 to 0.01
e) -0.08 to 0.12
Jim Royo, manager of Billings Building Supply (BBS), wants to develop a model to
forecast BBS's monthly sales (in $1,000's). He selects the dollar value of residential
building permits (in $10,000) as the predictor variable. An analysis of the data yielded
the following tables.
Using
= 0.05 the critical value of the Durbin-Watson statistic, dL,is _________.
a) 1.24
b) 1.22
c) 1.13
d) 1.15
e) 1.85
Weighted aggregate price indexes are also known as _______.
a) unbalanced indexes
b) balanced indexes
c) value indexes
d) multiplicative indexes
e) overall indexes
Statistical techniques based on assumptions about the population from which the
sample data are selected are called _______.
a) population statistics
b) parametric statistics
c) nonparametric statistics
d) chi-square statistics
e) correlation statistics
Golf course designer Roberto Langabeer is evaluating two sites, Palmetto Dunes and
Ocean Greens, for his next golf course. He wants to prove that Palmetto Dunes
residents (population 1) play golf more often than Ocean Greens residents (population
2). Roberto commissions a market survey to test this hypothesis. The market researcher
used a random sample of 64 individuals from each suburb, and reported the following:
1= 16 times per month and 2= 14 times per month. Assume that
1= 4 and 2= 3. With a= .01, the observed zvalue is
_________________.
a) 18.29
b) 6.05
c) 5.12
d) 3.40
e) 3.20
One hundred policyholders file claims with CareFree Insurance. Ten of these claims are
fraudulent. Claims manager Earl Evans randomly selects four of the one hundred claims
for thorough investigation. If x represents the number of fraudulent claims in Earl's
sample, x has a _______________ distribution.
a) continuous
b) normal
c) binomial
d) hypergeometric
e) exponential
Consider the following stem and leaf plot:
Suppose that a frequency distribution was developed from this, and there were 5 classes
(10-under 20, 20-under 30, etc.). What is the cumulative frequency for the 30-under 40
class interval?
a) 5
b) 9
c) 13
d) 14
e) 18
Suppose that .06 of each of two populations possess a given characteristic. Samples of
size 400 are randomly drawn from each population. What is the probability that the
differences in sample proportions will be greater than 0.02?
a) 0.4535
b) 0.9535
c) 0.1170
d) 0.5465
e) 0.4650
On Monday mornings, customers arrive at the coffee shop drive thru at the rate of 6
cars per fifteen minute interval. Using the Poisson distribution, the probability that five
cars will arrive during the next five minute interval is _____________.
a) 0.1008
b) 0.0361
c) 0.1339
d) 0.1606
e) 0.3610
Which scale of measurement has these two properties: linear distance is meaningful and
the location of origin (or zero point) is arbitrary?
a) Interval level
b) Ordinal level
c) Nominal level
d) Ratio level
e) Minimal level
