American Greetings would like to test the hypothesis that the median amount of money
spent per person on Mother’s Day increased this year when compared to last year. The
following data represents the amount of money that the same eight individuals spent on
Mother’s Day during the past two holidays.
The appropriate nonparametric procedure for this analysis is the _________________
test.
A) Wilcoxon rank-sum
B) sign
C) Wilcoxon signed-rank
D) Kruskal-Wallis
The time that customers wait to be served at the delicatessen for a grocery store follows
the uniform distribution between 0 and 7 minutes. What is the probability that a
randomly selected customer will wait more than 4 minutes at the deli?
A) 0.1429
B) 0.2857
C) 0.4286
D) 0.5714
Assume that the average talk time on an Apple iPhone is 20 hours and that this time
follows the exponential probability distribution. What is the probability that a randomly
selected iPhone will experience between 10 and 30 hours of talk time?
A) 0.3834
B) 0.4650
C) 0.5219
D) 0.5875
A chocolate chip cookie producer claims that its cookies average 3 chocolate chips and
that the distribution follows the Poisson. A consumer group wanted to test this claim
and randomly sampled 150 cookies. The resulting frequency distribution is shown
below.
Using α = 0.10, the critical value for this hypothesis test is ________.
A) 5.991
B) 7.815
C) 9.236
D) 10.645
If the null hypothesis for one-way ANOVA is not true, we would expect
______________.
A) the MSW to be larger than MST.
B) the MSB to be larger than MSW.
C) the MSW to be smaller than MSE.
D) the MSB to be smaller than MSW.
American Greetings would like to test the hypothesis that the median amount of money
spent per person on Mother’s Day increased this year when compared to last year. The
following data represents the amount of money that the same eight individuals spent on
Mother’s Day during the past two holidays.
The critical value for this hypothesis test using α = 0.05 is ________.
A) 1
B) 2
C) 4
D) 6
A recent study reported that 73% of Americans could only converse in one language. A
random sample of 130 Americans was randomly selected. What is the probability that
100 or fewer of these Americans could only converse in one language?
A) 0.6389
B) 0.7510
C) 0.8413
D) 0.9245
Which one of the following statements is true for a left-skewed distribution?
A) The mean is greater than the median.
B) The mean is less than the median.
C) The mean is greater than the mode.
D) The mean is roughly equal to the median.
A random sample of 17 hotels in Boston had an average nightly room rate of $165.40
with a sample standard deviation of $21.70. The margin of error for a 95% confidence
interval around this sample mean is ________.
A) 7.10
B) 8.74
C) 9.36
D) 11.17
ClearBags is an online company that sells packaging materials for photographers.
Suppose their average order size is $208.19 with a standard deviation of $53.44. A
random sample of 35 customer orders has been selected. The standard error of the mean
for this sample is ________.
A) $5.11
B) $7.30
C) $9.03
D) $11.35
Hamburgers are on the menu tomorrow at a school cafeteria and the manager needs to
decide how many to have ready for the lunch hour. Each hamburger costs the school
$1.85 and is sold for $3.50. Leftover hamburgers have no monetary value. The manager
expects demand tomorrow to be 100, 150, 200, or 250 hamburgers and would like to
prepare one of these four quantities for lunchtime. If the manager prepares 200
hamburgers and the lunchtime demand is for 100 hamburgers, tomorrow’s profit will be
_________.
A) “$125.50
B) “$20.00
C) $165.00
D) $247.50
The probability of the intersection of two events is known as a ________ probability.
A) marginal
B) joint
C) simple
D) prior
Debbie is a buyer for a retail chain and needs to decide what order quantity to place for
women’s coats for the upcoming winter season. Below is a payoff table, in thousands of
dollars, for various order quantities (1 = lowest, 4 = highest) and demand levels for the
winter coats.
If the Debbie uses the minimax regret criterion, which order size will she place?
A) Order Quantity 1
B) Order Quantity 2
C) Order Quantity 3
D) Order Quantity 4
The Department of Education would like to test the hypothesis that the median debt
load of graduating students with a Bachelor’s degree is equal to $17,000. The following
table summarizes the debt load of a random sample of graduating students with a
Bachelor’s degree.
The correct hypothesis statement for this hypothesis test would be
______________________.
A)
B)
C)
D)
Porter Automotive is a car dealership that sells Buicks and Hondas. The following data
shows the number of buyers this month according to the brand of car they purchased as
well as their age group.
Which one of the following statements is true based on the data?
A) There are more Buick owners than Honda owners in this data.
B) Honda owners tend to be older than Buick owners.
C) There are fewer Buick owners than Honda owners in this data.
D) Buick owners tend to be older than Honda owners.
“Gamers” are described as people who regularly play video games. A random sample of
80 people was selected and 50 were found to be male. The approximate standard error
of the proportion for this sample is ________.
A) 0.0336
B) 0.0422
C) 0.0541
D) 0.0610
The following contingency table shows the number of adults with credit scores 725 or
above and below 725 as well as their marital status.
Identify the conditional probabilities for this table.
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. What is the probability that a
randomly selected exam will require between 14 and 19 minutes to grade?
A) 0.3175
B) 0.3804
C) 0.4477
D) 0.5837
Suppose Pepsi wants to perform a blind taste test to determine if people prefer Pepsi
Max or Pepsi One. The following table shows the preferences of a random sample of
adults.
The test statistic for this hypothesis test is ________.
A) 4
B) 9
C) 13
D) 15
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.
The sum of squares regression for this regression model is ________.
A) 196.26
B) 104.71
C) 65.42
D) 17.49
According to IDC, Apple’s share of the smartphone market was 40.4% during a recent
quarter. A random sample of 90 smartphone users was selected. The standard error of
the proportion is ________.
A) 0.0160
B) 0.0337
C) 0.0517
D) 0.1034
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 test statistic for these samples is ________.
A) 2.60
B) 4.65
C) 6.22
D) 8.37
Collecting data about the number of television viewers for the Summer Olympics is an
example of using statistics in the field of ________.
A) human resources
B) advertising
C) operations
D) finance
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.
The p-value for this hypothesis test is ________.
A) 0.0219
B) 0.0345
C) 0.0547
D) 0.0710
A random sample of 150 mortgages in the state of Mississippi was randomly selected.
From this sample, 17 were found to be delinquent on their current payment. The 98%
confidence interval for the proportion based on this sample is ________.
A) (0.095, 0.131)
B) (0.074, 0.152)
C) (0.053, 0.173)
D) (0.103, 0.216)
Assume that the amount of time that it takes an employee to service a car at an oil
change facility follows the uniform probability distribution between 21 and 38 minutes.
What is the probability that a randomly selected car will require less than 25 minutes to
service?
A) 0.2353
B) 0.3146
C) 0.4860
D) 0.5716
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 were collected to test this hypothesis.
The test statistic for this hypothesis test is ________.
A) 7
B) 8
C) 9
D) 10
A large statistics class meets on Monday, Wednesday, and Friday each week during the
semester. The following data shows the number of absent students for the last nine
classes.
The deseasonalized number of absent students for Class 4 is ________.
A) 4.9
B) 5.2
C) 5.7
D) 6.1
Dempsey’s Garage repairs domestic and import cars. The following table shows the
number of cars that have been serviced by age and type during the last month.
The probability that a randomly selected car from this group was a domestic is
________.
A) 0.175
B) 0.425
C) 0.475
D) 0.525
Sarah is the office manager for a group of financial advisors who provide financial
services for individual clients. She would like to investigate whether a relationship
exists between the number of presentations made to prospective clients in a month and
the number of new clients per month. The following table shows the number of
presentations and corresponding new clients for a random sample of six employees.
Sarah would like to use simple regression analysis to estimate the number of new
clients per month based on the number of presentations made by the employee per
month. The coefficient of determination for this sample is ________.
A) 0.266
B) 0.457
C) 0.632
D) 0.743
Sheridan Motors is a car dealership that would like to investigate if there is a difference
in the average number of car sales per month between three sales employees using a
randomized block ANOVA. The following data represent the number of car sales last
year for these employees for six different months.
The mean square total for these observations is ________.
A) 6.18
B) 7.44
C) 8.03
D) 10.56
Bob’s golf score at his local course follows the normal distribution with a mean of 92.1
and a standard deviation of 3.8. What is the probability that the score on his next round
of golf will be more than 90?
A) 0.5832
B) 0.6591
C) 0.7088
D) 0.9370
During the 3 pm to 5 pm time period, cars arrive at a bank’s drive-through window at an
average rate of 15 customers per hour. Assume that the time between arrivals follows
the exponential distribution. What is the standard deviation for this probability
distribution?
A) 1 minute
B) 2 minutes
C) 4 minutes
D) 10 minutes
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 sum of squares error for this sample
is ________.
A) 13.50
B) 16.00
C) 29.61
D) 37.23