The Canadian government would like to test the hypothesis that the average hourly
wage for men is more than $2.00 higher than the average hourly wage for women. The
following data summarizes the sample statistics for hourly wages for men and women.
Assume that the population variances are equal.
If Population 1 is defined as men and Population 2 is defined as women, the test
statistic for this hypothesis test would be ________.
A)
B)
C)
D)
The following data represent the number of refrigerators sold for each of the past five
months for Templeton Appliances.
Using an exponential smoothing technique with alpha equal to 0.8, the sales forecast for
Month 6 is ________.
A) 31.0
B) 34.6
C) 37.1
D) 38.8
The National Association of Realtors reported that 26% of home buyers in the state of
Florida are foreigners. When testing the validity of this report, a Type II error would
occur if it was concluded that the proportion of foreign buyers was
______________________________.
A) more than 26% when, in reality, the proportion was 26% or less
B) not equal to 26% when, in reality, the proportion was equal to 26%
C) 26% or less when, in reality, the proportion was more than 26%
D) equal to 26% when, in reality, the proportion was not equal to 26%
A random sample of computer users were asked which browser they primarily relied on
for surfing the Internet and whether this browser was installed on a desktop or laptop
computer. The following contingency table shows these results.
The probability that a randomly selected person from this sample used the Internet
Explorer or the Chrome browser is ________.
A) 0.585
B) 0.651
C) 0.700
D) 0.814
The following data show the monthly rental for a random sample of one-bedroom
apartments in York, Pennsylvania.
Construct a frequency distribution for this data.
According to LIMRA, 77% of husband-wife families with kids under 18 years old have
life insurance. A random sample of six husband-wife families was selected. What is the
probability that less than two families have life insurance?
A) 0.0029
B) 0.0569
C) 0.1197
D) 0.1864
Consider the partially completed one-way ANOVA summary table.
The sum of squares within for this ANOVA procedure is ____.
A) 390.
B) 540.
C) 620.
D) 680.
The table below shows the number of cars sold last month by seven employees at
Concord Motors and their number of years of sales experience.
Management would like to use simple regression analysis to estimate monthly car sales
using the number of years of sales experience. The standard error of the estimate is
________.
A) 1.64
B) 2.73
C) 4.60
D) 5.11
Entertainment Software Association would like to test if the standard deviation for the
age of “gamers” (those that routinely play video games) is equal to 6.0 years. The
correct hypothesis statement would be _______________.
A)
B)
C)
D)
The No Child Left behind Act of 2001 (NCLB) established standards-based guidelines
to determine the effectiveness of public schools. According to a recent study, 45.5% of
U.S. public schools failed to make adequate progress in a recent year as defined by
NCLB. A random sample of 67 public schools was selected. The standard error of the
proportion is ________.
A) 0.0294
B) 0.0322
C) 0.0487
D) 0.0608
Use the following information to answer the question(s) below.
Ford would like to develop a regression model that would predict the number of cars
sold per month by a dealership employee based on the employee’s number of years of
sales experience (Exp), the employee’s weekly base salary before commissions (Salary),
and the education level of the employee. There are three levels of education in the sales
forcehigh school degree, associate’s degree, and bachelor’s degree. The following
dummy variables have been defined.
The following Excel output shows the partially completed regression output from a
random sample of employees from the previous month.
The number of employees that were included in the sample is ________.
A) 19
B) 20
C) 24
D) 25
AutoTrader.com would like to test if a difference exists in the age of three different
types of vehicles currently on the road–trucks, cars, and vans. The following data
represent the age of a random sample of trucks, cars, and vans.
The mean square total for these observations is ________.
A) 5.02
B) 5.64
C) 6.67
D) 8.19
A statistics professor kept attendance records and recorded the number of absent
students per class. This data is displayed in the following histogram with the frequency
of each number of absent students shown above the bars.
How many statistics classes had two or fewer students absent?
A) 9
B) 40
C) 42
D) 85
A retail chain would like to test if a difference exists between the variability of
customer satisfaction scores from two locations. The following data represents
satisfaction scores from a random sample of customers from these locations on a scale
of 1-20.
The correct hypothesis statement would be _______________.
A)
B)
C)
D)
In Delaware, cars are inspected each year using state-operated inspection centers. The
Wilmington center has three drive-through lanes where cars are inspected in a sequence
of steps. The following data show the number of minutes that a random sample of
drivers spent waiting and having their cars inspected in the three lanes each day of the
week.
The state of Delaware would like to perform a randomized block ANOVA to test for a
difference in the average times the drivers spend in the three lanes using the weekday as
a blocking factor. The critical value for the Tukey-Kramer critical range using α = 0.05
is ________.
A) 3.15
B) 3.88
C) 3.95
D) 4.04
The pH scale measures the amount of alkalinity or acidity in a liquid and ranges from
0-14. The ideal pH for a swimming pool is 7.2. A pH that is too high or low can cause
discomfort for the swimmers, especially in the eyes. High variability in the pH readings
across the swimming pool can be problematic. The following data shows seven pH
readings that were taken at the Wilson Community Pool from different locations at 10
a.m. this morning.
The pool management would like to test the hypothesis that the standard deviation of
the pH readings across the pool is less than 0.40. The sample standard deviation is
________.
A) 0.195
B) 0.240
C) 0.297
D) 0.358
State University offers several sections of a Business Statistics course in an in-class and
online format. Both formats are administered the same final exam each year. You have
been assigned to test the hypothesis that the median final exam score of in-class
students is higher than the median final exam score of online students. The following
table shows the exam scores for a random sample of students from both classes.
The sum of the ranks in Sample 1 for this hypothesis test is ________.
A) 140.0
B) 157.0
C) 168.5
D) 184.5
A retail chain would like to test if a difference exists between the variability of
customer satisfaction scores from two locations. The following data represents
satisfaction scores from a random sample of customers from these locations on a scale
of 1-20.
Using α = 0.10, the critical value for this hypothesis test would be ________.
A) 3.405
B) 4.950
C) 5.343
D) 6.094
Wells Fargo Bank would like to determine if a difference exists in the average credit
score between residents of the states of Texas, Alaska, and Iowa and also investigate if
age plays a role in credit score. The credit scores from a random sample of residents
from each state was recorded and residents were categorized as being under 40 years
old or 40 years and older. A two-way ANOVA was conducted using α = 0.05 with
Factor A assigned the state residence and Factor B assigned the age group. The results
are shown below.
A conclusion for this ANOVA procedure would be that because the Factor A test
statistic is
______________________________________________________________________
_____
A) more than the critical value, we can reject the null hypothesis and conclude that
there is a difference in the average credit score between these three states
B) more than the critical value, we cannot reject the null hypothesis and we can
conclude that there is no difference in the average credit score between these three
states
C) less than the critical value, we can reject the null hypothesis and conclude that there
is no difference in the average credit score between these three states
D) less than the critical value, we cannot reject the null hypothesis and conclude that
there is a difference in the average credit score between these three states
The following table shows the number of employees at Diamond Corporation over the
past 16 years.
The trend projection intercept for this data is ________.
A) -1.3215
B) -3.6504
C) 7.5641
D) 12.8500
The following data set represents the age of a random sample of cars on the road today.
The standard deviation of this sample is ________.
A) 4.38
B) 7.14
C) 8.80
D) 9.06
According to a survey of business executives, 78% received a pay raise when they
asked for one. A random sample of four executives was selected. The probability that all
four received a raised when they asked for one is ________.
A) 0.056
B) 0.127
C) 0.237
D) 0.370
As the size of the sample increases, the _______________________________.
A) standard error of the mean becomes smaller
B) population standard deviation increases
C) sampling error increases
D) shape of the sampling distribution becomes wider
When calculating a confidence interval for proportions, we assume that proportion data
follow the ________________.
A) uniform distribution
B) Student’s t-distribution
C) Poisson distribution
D) binomial distribution
Use the information below to answer the following question(s).
The table below shows the number of interceptions thrown during the season by seven
randomly selected National Football League teams and the number of games those
teams won during the season.
Use the NFL team data to calculate:
A) The standard error of the estimate.
B) The 95% confidence interval for the average number of wins for a team that throws
14 interceptions during the season.
The Wall Street Journal reported that the average amount of time that a French person
spends eating lunch at a restaurant is 22 minutes. Perform a hypothesis test to determine
if a difference exists between the average time an American spends eating lunch when
compared to a person from France. The following data represents the time, in minutes,
that random French and American diners spent at lunch. Assume that the population
variances are equal.
If Population 1 is defined as French diners and Population 2 is defined as American
diners, the correct hypothesis statement for this hypothesis test would be
___________________________.
A)
B)
C)
D)
The Chamber of Commerce for a small city would like to test the hypothesis that the
median number of days that a residential home is listed on the real estate market for
Century 21 is different than the median number of days for a house listed by RE/MAX.
The following data shows the number of days a random sample of homes listed by each
realtor.
The test statistic for this hypothesis test is ________.
A) 1.22
B) “1.49
C) 3.24
D) “2.17
Edmunds.com would like to test the hypothesis that the standard deviation for the age
of an imported car on the road is greater than the standard deviation for the age of a
domestic car. The following data shows the ages of a random sample of import and
domestic cars.
Using α = 0.05, the critical value for this hypothesis test would be ________.
A) 4.284
B) 4.954
C) 6.122
D) 6.681
The Girl Scouts would like to estimate the proportion of people who consider Thin
Mints to be their favorite Girl Scout cookie. The total sample size needed to construct a
90% confidence interval for the proportion of customers who favor Thin Mint cookies
with a margin of error equal to 6% is ________.
A) 145
B) 188
C) 247
D) 285