The statistical technique where many samples are repeatedly drawn from a population
is known as ____________.
A) convenience sampling
B) nonprobability sampling
C) resampling
D) probability sampling
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, which one of
the following statements is true?
A) Because the 95% confidence interval includes zero, the Canadian government can
conclude that the average hourly wage for men is more than $2.00 higher than the
average hourly wage for women.
B) Because the 95% confidence interval does not include zero, the Canadian
government cannot conclude that the average hourly wage for men is more than $2.00
higher than the average hourly wage for women.
C) Because the 95% confidence interval includes $2.00, the Canadian government
cannot conclude that the average hourly wage for men is more than $2.00 higher than
the average hourly wage for women.
D) Because the 95% confidence interval does not include $2.00, the Canadian
government cannot conclude that the average hourly wage for men is more than $2.00
higher than the average hourly wage for women.
Costco Wholesale claims that Costco members prefer its Kirkland brand toilet paper
over the leading national brand. To test this claim, Costco recorded the preferences of a
random sample of customers which are summarized in the table below.
The p-value for this hypothesis test is ________.
A) 0.0053
B) 0.0129
C) 0.0797
D) 0.1056
Chris is employed by Silver Lake Resort in Orlando, Florida, and sells timeshares. The
following table shows the number of timeshare sales for Chris for each quarter over the
past three years.
The intercept for the deseasonalized trend projection is ________.
A) 5.6915
B) 7.7721
C) 8.0456
D) 10.0636
YouTube would like to test the hypothesis that the average length of an online video
watched by a user is more than 8 minutes. A random sample of 37 people watched
online videos that averaged 8.7 minutes in length. It is believed that the population
standard deviation for the length of online videos is 2.5 minutes. YouTube would like to
set α = 0.02. The correct hypothesis statement for this hypothesis test would be
_________________________.
D)
B)
C)
A)
The critical z-score for a 98% confidence level is ________.
A) 1.28
B) 1.96
C) 2.33
D) 2.575
The Department of Housing and Urban Development (HUD) would like to test the
hypothesis that the average size of a newly constructed house last year is different from
the average size of a newly constructed house in 2000. The following data summarizes
the sample statistics for house sizes, in square feet, for both years. Assume that the
population variances are equal.
If Population 1 is defined as homes built in 2000 and Population 2 is defined as homes
built last year, the pooled variance for this hypothesis test would be ________.
A) 48,456
B) 65,050
C) 123,585
D) 151,733
The following data represent a random sample the golf scores for a particular golfer
from a course that he regularly plays.
This golfer would like to test if his golf scores at this course follow the normal
probability distribution with μ = 85.0 and σ = 5.0 using α = 0.05. The expected number
of scores from this sample that would fall in the interval of 80 or less is ________.
A) 5.55
B) 7.20
C) 9.36
D) 11.95
The time for a professor to grade an exam is normally distributed with a mean of 16.3
minutes and a standard deviation of 4.2 minutes. The interval around the mean that
contains 68% of the times needed to grade exams is ________.
A) 12.1, 20.5
B) 7.9, 24.7
C) 5.8, 26.8
D) 3.7, 28.9
A professor would like to test the hypothesis that the median number of minutes that a
student needs to complete a statistics exam is equal to 50 minutes. The following
random sample of exam times from 12 students was collected to test this hypothesis.
The correct hypothesis statement for this hypothesis test would be
______________________.
A)
B)
C)
D)
The National Center for Education would like to estimate the proportion of students
who defaulted on their student loans for the state of Arizona. A pilot sample of 50
students with loans from Arizona found that eight had defaulted on their loans. The total
sample size needed to construct a 95% confidence interval for the proportion of student
loans in default with a margin of error equal to 4% is ________.
A) 323
B) 365
C) 389
D) 410
Dwight Howard plays center in the National Basketball Association and averaged 1.8
blocked shots per game during a recent season. Assume that the number of blocked
shots per game follows the Poisson distribution. What is the probability that Dwight
Howard will block more than one shot during the next game?
A) 0.5180
B) 0.6411
C) 0.7516
D) 0.5372
A camera manufacturer just shipped a batch of 36 digital cameras to local retailers and
seven of the cameras have a defective sensor. Cutler Electronics received eight of these
digital cameras. What is the standard deviation of this probability distribution?
A) 0.420
B) 1.001
C) 1.764
D) 2.293
The federal government would like to test the hypothesis that the median age of men
filing for Social Security is higher than the median age of women set using α = 0.05
with the following sample data:
The appropriate nonparametric procedure for this analysis is the _________________
test.
A) Kruskal-Wallis
B) Wilcoxon rank-sum
C) sign
D) Wilcoxon signed-rank
Progressive Insurance would like to test the hypothesis that a difference exists in the
proportion of students in 12th grade who text while driving when compared to the
proportion of 11th grade drivers who text. A random sample of 160 12th grade students
found that 84 texted while driving. A random sample of 175 11th grade students found
that 70 texted while driving. If Population 1 is defined as 12th grade drivers and
Population 2 is defined as 11th grade drivers, and using α = 0.05, which one of the
following statements is true?
A) Because the p-value is less than α, Progressive Insurance can conclude that a
difference exists in the proportion of students in 12th grade who text while driving when
compared to the proportion of 11th grade drivers who text.
B) Because the p-value is greater than α, Progressive Insurance can conclude that a
difference exists in the proportion of students in 12th grade who text while driving when
compared to the proportion of 11th grade drivers who text.
C) Because the p-value is less than α, Progressive Insurance cannot conclude that a
difference exists in the proportion of students in 12th grade who text while driving when
compared to the proportion of 11th grade drivers who text.
D) Because the p-value is greater than α, Progressive Insurance cannot conclude that a
difference exists in the proportion of students in 12th grade who text while driving when
compared to the proportion of 11th grade drivers who text.
The following data represents the ages of a household that consists of five people.
Assuming this household represents a population, the mean of this data set is ________.
A) 18.8
B) 19.2
C) 19.6
D) 20.4
The Department of Transportation would like to investigate if a difference exists in the
proportion of flights that arrive on-time between Alaska Airlines, Delta Airlines,
Southwest Airlines, and United Airlines. The following data represent the number of
on-time flights from random samples taken from each airline.
The chi-square critical value using α = 0.5 is ________.
A) 2.706
B) 3.841
C) 5.991
D) 7.815
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 90% confidence interval for the difference in population means is ________.
A) (“0.75, 6.75)
B) (1.93, 4.06)
C) (1.52, 4.49)
D) (“3.36, 9.36)
A golfer claims that his median golf score at the course he plays regularly is less than
90. The following random sample from 11 rounds was collected to test this hypothesis.
Using α = 0.05, which one of the following statements is true?
A) Because the p-value is greater than α, we reject the null hypothesis and cannot
conclude that the median golf score is less than 90.
B) Because the p-value is greater than α, we fail to reject the null hypothesis and cannot
conclude that the median golf score is less than 90.
C) Because the p-value is less than α, we fail to reject the null hypothesis and conclude
that the median golf score is less than 90.
D) Because the p-value is less than α, we reject the null hypothesis and conclude that
the median golf score is less than 90.
A(n) ________ forecast is generated by averaging the most recent p values in a time
series.
A) exponential smoothing
B) regression
C) weighted moving average
D) simple moving average
A method of gathering data when subjects are exposed to certain treatments and the
data of interest is recorded is known as ____________.
A) direct observation
B) focus groups
C) experiments
D) surveys
The following data represent the number of sweatshirts sold for each of the past six
days for Hoys Department Store at the beach in Avalon, New Jersey.
Using a three-period simple moving average, the sales forecast for Day 7 is ________.
A) 6.5
B) 7.2
C) 7.9
D) 9.0
Use the following information to answer the question(s) below.
The National Football League has developed a regression model to predict the number
of wins during a season for a team using the following independent variables:
•Average points per game during the season (PPG)
•Average number of penalties committed per game during the season (PEN)
•Turnover differential during the season (TO)
Turnover differential is defined as the number of times the team took the ball away from
their opponent with a turnover minus the number of times the team gave the ball away to
their opponent with a turnover. For example, if TO = +5, the team had five more
takeaways than giveaways. If TO = “7, the team had seven more giveaways than
takeaways during the season.
The following Excel output shows the partially completed regression output from a
random season.
Every additional penalty per game will _____________________________.
A) decrease the average number of wins per season by 1.5572
B) decrease the average number of wins per season by 0.2938
C) increase the average number of wins per season by 1.5572
D) increase the average number of wins per season by 0.2938
The following data represents the number of Sony TVs sold per day at a particular
Costco over a random sample of five business days.
The mean of this sample is ________.
A) 5.7
B) 6.0
C) 6.4
D) 6.6
Apple would like to estimate the web browsing battery life of the iPad. The following
data represents the battery life, in hours, experienced by six users.
10 13 12 16 10 8
Using this sample, the point estimate for the age of cars sold for the first time is
________.
A) 9.68
B) 10.19
C) 11.50
D) 13.26
Consider the partially completed one-way ANOVA summary table.
The mean square between for this ANOVA procedure is ____.
A) 30.
B) 46.
C) 72.
D) 90.
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 degrees of freedom for the sum of squares regression are ________.
A) 4
B) 20
C) 24
D) 25
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:
A) Describe the regression line that will predict number of wins during the season
based on the number of interceptions thrown.
B) Interpret the slope of the regression equation.
C) Predict the average number of wins for a team that throws 12 interceptions during
the season.
Sony would like to test the hypothesis that the standard deviation for the age of
PlayStation users is higher than the standard deviation for the age of Xbox users. The
following table summarizes sample statistics from each population.
The test statistic for this hypothesis test would be ________.
A) 1.03
B) 1.10
C) 1.22
D) 3.65
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 adjusted for this regression model is ________.
A) 0.7796
B) 0.8163
C) 0.9035
D) 0.9233
According to Bureau of Labor Statistics, 26.0% of the total part-time workforce in the
U.S. was between the ages of 25 and 34 during a recent month. A random sample of 90
part-time employees was selected during this month. Using the normal approximation
to the binomial distribution, what is the probability that fewer than 19 people from this
sample were between the ages of 25 and 34?
A) 0.1190
B) 0.2530
C) 0.3879
D) 0.4149
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.
Using α = 0.05, which one of the following statements is true?
A) Because the test statistic is greater than the negative of critical value, we cannot
conclude that the median exam score for in-class format is higher than the median exam
score of the online format.
B) Because the test statistic is greater than the negative of critical value, we can
conclude that the median exam score for in-class format is higher than the median exam
score of the online format.
C) Because the test statistic is less than the negative of critical value, we cannot
conclude that the median exam score for in-class format is higher than the median exam
score of the online format.
D) Because the test statistic is less than the negative of critical value, we can conclude
that the median exam score for in-class format is higher than the median exam score of
the online format.
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 and would like to test to determine if a difference exists in the median wait time
between lanes. 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.
Using α = 0.05, which one of the following statements is true?
A) Because the test statistic is greater than the critical value, we can conclude that a
difference exists in the median wait time between lanes.
B) Because the test statistic is greater than the critical value, we cannot conclude that
that a difference exists in the median wait time between lanes.
C) Because the test statistic is less than the critical value, we can conclude that that a
difference exists in the median wait time between lanes.
D) Because the test statistic is less than the critical value, we cannot conclude that that a
difference exists in the median wait time between lanes today.