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 value of S for this hypothesis test is ________.
A) 22
B) 25
C) 31
D) 54
Expedia would like to test the hypothesis that the proportion of Southwest Airline
flights that arrive on-time is less than 0.90. A random sample of 140 United Airline
flights found that 119 arrived on-time. Expedia would like to set α = 0.05. The
conclusion for this hypothesis test would be that because the test statistic is
____________________________________________.
A) more than the critical value, we can conclude that the proportion of United Airline
flights that arrive on-time is more than 0.90
B) more than the critical value, we cannot conclude that the proportion of United
Airline flights that arrive on-time is less than 0.90
C) less than the critical value, we can cannot conclude that the proportion of United
Airline flights that arrive on-time is less than 0.90
D) less than the critical value, we can conclude that the proportion of United Airline
flights that arrive on-time is less than 0.90
“No shows” are the people with reservations who fail to arrive. The following table
shows the number of no shows each day at a hotel over the last 125 business days.
What is the probability that there will be more than one no show today?
A) 0.113
B) 0.147
C) 0.205
D) 0.232
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 intercept for the deseasonalized trend projection is ________.
A) 2.1678
B) 3.0075
C) 4.3861
D) 5.9667
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. Using α = 0.05, the critical value for
this hypothesis test would be ________.
A) 1.635
B) 2.167
C) 12.592
D) 14.067
You have been assigned to test the hypothesis that the variability for the number of
hours per week that an American works is equal to the variability for the number of
hours per week that a Swede works. The following data summarizes the sample
statistics for the number of hours worked per week for workers in each country.
The correct hypothesis statement would be ______________.
A)
B)
C)
D)
Simple moving average is an example of a ________ forecasting technique.
A) smoothing
B) regression analysis
C) multiplicative decomposition
D) seasonal
Because of the ambiguity of the intervals, technically, it’s not proper to calculate the
mean and standard deviation of ordinal data.
A ________ confidence interval might be most appropriate during the early stages of a
research project when little is known about the population’s parameters and the project’s
researchers might still be gauging the parameters.
A) 90%
B) 95%
C) 99%
D) 100%
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
standard deviation for the age from a random sample of 24 gamers is 3.8 years. The
degrees of freedom for this hypothesis test would be ________.
A) 21
B) 23
C) 24
D) 25
According to the Centers for Medicare & Medicaid Services, 21% of nursing homes in
the United States received five stars in overall ratings on a scale of 1 to 5. A random
sample of seven nursing homes was selected. What is the probability that exactly three
of them received five stars?
A) 0.0432
B) 0.0944
C) 0.1263
D) 0.1527
The ________ is a line graph that plots the cumulative relative frequency distribution.
A) ogive
B) histogram
C) scatter plot
D) percentage polygon
Consider the following population which represents the number of pieces of junk mail
that I received during the month of February.
Using the first row of data as a sample, the sampling error is ________.
A) 0.00
B) 0.25
C) -0.50
D) 0.75
The following data shows the number of students that came to office hours per day for a
particular faculty member.
Construct a frequency distribution for this data.
Entertainment Software Association would like to test if the median age of “gamers”
(those that routinely play video games) is more than 30 years old. The following table
summarizes the ages of a random sample of gamers.
The correct hypothesis statement for this hypothesis test would be
______________________.
A)
B)
C)
D)
Breyers is a major producer of ice cream and would like to test the hypothesis that the
average American consumes more than 17 ounces if ice cream per month. A random
sample of 15 Americans was found to consume an average of 18.2 ounces of ice cream
last month. The standard deviation for this sample was 3.9 ounces. Breyers would like
to set α = 0.10. Which one of the following statements is true?
A) Because the p-value is greater than α, we reject the null hypothesis and conclude that
the average amount of ice cream consumed per month is greater than 17 ounces.
B) Because the p-value is greater than α, we fail to reject the null hypothesis and cannot
conclude that the average amount of ice cream consumed per month is greater than 17
ounces.
C) Because the p-value is less than α, we fail to reject the null hypothesis and conclude
that the average amount of ice cream consumed per month is greater than 17 ounces.
D) Because the p-value is less than α, we reject the null hypothesis and conclude that
the average amount of ice cream consumed per month is less than 17 ounces.
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 and the Firefox browser is ________.
A) 0.00
B) 0.32
C) 0.45
D) 0.57
Use the information below to answer the following question(s).
Steve Taylor is the owner of Home Plus, which is a chain of home improvement stores.
He would like to investigate the relationship between month advertising and monthly
sales. The table below shows the amount spent on advertising, in millions of dollars,
over several months along with the corresponding sales, also in millions of dollars.
Use the Home Plus data to calculate:
A) The standard error of the estimate.
B) The 95% confidence interval for the average sales for a month where $4 million was
spent on advertising.
YouTube would like to test the hypothesis that the standard deviation for the length of
an online video watched by a user is more than 2 minutes. The correct hypothesis
statement would be ________.
A)
B)
C)
D)
Many hotel chains that offer free Wi-Fi service to their customers have experienced
increasing demand for Internet bandwidth and increasing costs. Marriott International
would like to test the hypothesis that the proportion of customers that are carrying two
Wi-Fi devices exceeds 0.60. A random sample of 120 Marriott customers found that 78
have two Wi-Fi devices. Marriott International would like to set α = 0.01. The
conclusion for this hypothesis test would be that because the test statistic is
_________________________________________.
A) more than the critical value, we can conclude that the proportion of Marriott
customers that carry two Wi-Fi devices is less than 0.60
B) more than the critical value, we can conclude that the proportion of Marriott
customers that carry two Wi-Fi devices is greater than 0.60
C) less than the critical value, we can conclude that the proportion of Marriott
customers that carry two Wi-Fi devices is not more than 0.60
D) less than the critical value, we can conclude that the proportion of Marriott
customers that carry two Wi-Fi devices is greater than 0.60
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, which one of the following statements is
true?
A) Because the 95% confidence interval does not include zero, 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.
B) Because the 95% confidence interval does not include zero, 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 95% confidence interval includes zero, 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 95% confidence interval includes zero, 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.
Sony would like to test the hypothesis that the average age of a PlayStation user is
different from the average age of an Xbox user. A random sample of 36 PlayStation
users had an average age of 34.2 years while a random sample of 30 Xbox users had an
average age of 32.7 years. Assume that the population standard deviation for the age of
PlayStation and Xbox users is 3.9 and 4.0 years, respectively. Sony would like to set α
= 0.10. The critical value for this hypothesis test would be ________.
A) 1.28
B) 1.645
C) 1.96
D) 2.33
Recently, 18.3% of visitors to the Travelocity website hailed from the Google search
engine. A random sample of 130 visitors on the Travelocity was selected. The standard
error of the proportion is ________.
A) 0.0206
B) 0.0339
C) 0.0466
D) 0.0548
Costco sells paperback books in their retail stores and wanted to examine the
relationship between price and demand. The price of a particular novel was adjusted
each week and the weekly sales were recorded in the table below.
Management would like to use simple regression analysis to estimate weekly demand
for this novel using the price of the novel. The standard error of the estimate is
________.
A) 1.09
B) 1.38
C) 1.76
D) 3.30
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.
Which one of the following statements describes the results of the hypothesis test that
the population correlation coefficient is greater than zero using α = 0.05?
A) Because the test statistic is greater than the critical value, we can reject the null
hypothesis and conclude that the population correlation coefficient is greater than zero.
B) Because the test statistic is greater than the critical value, we fail to reject the null
hypothesis and conclude that the population correlation coefficient is greater than zero.
C) Because the test statistic is less than the critical value, we can reject the null
hypothesis and conclude that the population correlation coefficient is greater than zero.
D) Because the test statistic is less than the critical value, we fail to reject the null
hypothesis and conclude that the population correlation coefficient is not greater than
zero.
The U.S. Census Bureau would like to estimate the average square footage of a new
single-family home with a 95% confidence interval and a margin of error within plus or
minus 200 square feet. Assuming the standard deviation for the square footage of new
single-family homes is 850 square feet, the required sample size is ________.
A) 41
B) 48
C) 55
D) 70
A hotel employee asks customers who are checking out to rate their satisfaction on a
scale of 1-10. This is an example of collecting primary data.
The following data represent the number of refrigerators sold for each of the past five
months for Templeton Appliances.
Using an exponential smoothing with trend adjustment technique with alpha equal to
0.6 and beta equal to 0.2, the sales forecast for Month 6 is ________.
A) 28.0
B) 30.7
C) 32.6
D) 35.6
The produce manager for a grocery store needs to decide how many heads of lettuce to
order each day. A head of lettuce sells for $1.20 and costs the grocery store $0.75. Any
unsold lettuce at the end of the day is donated to charity. If the manager purchases 400
heads of lettuce for tomorrow and demand for lettuce that day is 250 heads, the profit
will be ________.
A) “$68.25
B) $0
C) $45.00
D) $112.50
After Bill attends the first statistics class of the semester and reads the syllabus, he
decides that the most likely grade he will receive for the course is a “B”. This is an
example of using ________ probability.
A) classical
B) simple
C) empirical
D) subjective
Medicare would like to test the hypothesis that the standard deviation for the monthly
rate for a one-bedroom assisted-living facility is more than $400. A random sample of
17 assisted living facilities had a standard deviation of $530. Using α = 0.01, the
conclusion for this hypothesis test would be that because the test statistic is
___________________________.
A) more than the critical value, we fail to reject the null hypothesis and conclude that
the standard deviation for the monthly rates of one bedroom assisted-living facilities is
more than $400
B) less than the critical value, we reject the null hypothesis and cannot conclude that the
standard deviation for the monthly rates of one bedroom assisted-living facilities is
more than $400
C) less than the critical value, we fail to reject the null hypothesis and cannot conclude
that the standard deviation for the monthly rates of one bedroom assisted-living
facilities is more than $400
D) more than the critical value, we fail to reject the null hypothesis and cannot conclude
that the standard deviation for the monthly rates of one bedroom assisted-living
facilities is more than $400