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QNT 275 Week 2 Homework Problem Set Excel File
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1.
In a hearing test, subjects estimate the loudness (in decibels) of a sound,
and the results are: 69, 67, 71, 72, 65, 75, 68, 68, 83, 73, 68.
Calculate the measures of central tendency (Mean, median, mode) and
the measures of dispersion (range, standard deviation, variance).
2.

The local amusement park was interested in the average wait time at
their most popular roller coaster at the peak park time (2 p.m.). They
selected 13 patrons and had them get in line between 2 and 3 p.m. Each
was given a stopwatch to record the time they spent in line. The times
recorded were as follows (in minutes).
117, 123, 110, 117, 99, 120, 148, 118, 119, 120, 45, 130, 118
What is the 72d percentile?
3.
The average life of Canadian women is 73.90 years, and the standard
deviation of the life expectancy of Canadian women is 9 years. Based on
Chebyshev's Theorem, determine the upper and lower bounds on the

average life expectancy of Canadian women such that at least 95 percent
of the population is included if the sample size is 100 women.
4.
The local amusement park was interested in the average wait time at
recorded were as follows (in minutes): 118, 121, 114, 116, 110, 120,
145, 118, 119, 121, 45, 135, 118.
Calculate the measures of central tendency (Mean, median, mode) and
the measures of dispersion (range, standard deviation, variance).
5.

The average lateness for one of the top airline companies is 10 minutes.
The variance of the lateness measure is calculated as 8. An airplane
arrived 12 minutes after the stated arrival time. Calculate the z-score for
the lateness of this particular airplane.
6.
According to a survey of the top 15 employers in a major city in the
Midwest, a worker spends an average of 400 minutes a day on the job.
Suppose the standard deviation is 20 minutes and the time spent is
approximately a normal distribution.
What are the times within which approximately 99.73 percent of all
workers will fall?
7.

Recently an advertising company called 200 people and asked them to
identify the company that was in an ad running nationwide. The
following results were obtained.
What percentage of those surveyed could not correctly recall the
company?
8.
A local electronics retailer recently conducted a study on purchasers of
large screen televisions. The study recorded the type of television and
the credit account balance of the customer at the time of purchase. They
obtained the following results.
What percentage of purchases were plasma televisions by customers
with the smallest credit balances?
9.

The following is a partial relative frequency distribution of grades in an
introductory statistics course.
Find the relative frequency for the B grade.
10
A CFO is looking at what percentage of a company's resources are spent
on computing. He samples companies in the pharmaceutical industry
and develops the following stem-and-leaf graph.
What would be the class length used in creating a frequency histogram?
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1.

A survey is made in a neighborhood of 90 voters. 75 are Democrats and
15 are Republicans. Of the Democrats, 30 are women, while 7 of the
Republicans are women. If one subject from the group is randomly
selected, find the probability the individual is a male Republican.
2.
Container 1 has 8 items, 3 of which are defective. Container 2 has 5
items, 3 of which are defective. If one item is drawn from each
container, what is the probability that only one of the items is defective?
3.
A letter is drawn from the alphabet of 26 letters. What is the probability
that the letter drawn is a vowel?

4.
A family has two children. What is the probability that both are girls,
given that at least one is a girl?
5.
If n = 29 and p = .6, then the standard deviation of the binomial
distribution is

6.
Consider a Poisson distribution with an average of 4 customers per
minute at the local grocery store. If X = the number of arrivals per
minute, find the probability of more than 6 customers arriving within a
minute.
7.
An important part of the customer service responsibilities of a cable
company is the speed with which trouble in service can be repaired.
Historically, the data show that the likelihood is 0.70 that troubles in a
residential service can be repaired on the same day. For the first four
troubles reported on a given day, what is the probability that all four will
be repaired on the same day?

8.
Suppose that the waiting time for a license plate renewal at a local office
of a state motor vehicle department has been found to be normally
distributed with a mean of 29 minutes and a standard deviation of 6
minutes. Suppose that in an effort to provide better service to the public,
the director of the local office is permitted to provide discounts to those
individuals whose waiting time exceeds a predetermined time. The
director decides that 10 percent of the customers should receive this
discount. What number of minutes do they need to wait to receive the
discount?
9.
An apple juice producer buys all his apples from a conglomerate of
apple growers in one northwestern state. The amount of juice obtained
from each of these apples is approximately normally distributed with a
mean of 2.38 ounces and a standard deviation of 0.1 ounce. What is the
probability that a randomly selected apple will contain more than 2.40
ounces?
10

While conducting experiments, a marine biologist selects water depths
from a uniformly distributed collection that vary between 2.00 m and
8.00 m. What is the probability that a randomly selected depth is
between 2.25 m and 5.00 m?
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1.
A sample of 100 items has a population standard deviation of 5.9 and a
mean of 32. Construct a 95 percent confidence interval for μ.
2.

At the end of 1990, 1991, and 1992, the average prices of a share of
stock in a portfolio were $34.75, $34.65, and $31.25 respectively. To
investigate the average share price at the end of 1993, a random sample
of 75 stocks was drawn and their closing prices on the last trading day of
1993 were observed with a mean of 33.78 and a standard deviation of
14.25. Estimate the average price of a share of stock in the portfolio at
the end of 1993 with a 90 percent confidence interval.
3.
A research study investigated differences between male and female
students. Based on the study results, we can assume the population mean
and standard deviation for the GPA of male students are µ = 3.3 and σ =
0.3. Suppose a random sample of 1200 male students is selected and the
GPA for each student is calculated. Find the interval that contains 90
percent of the sample means for male students.
4.
A manufacturing company measures the weight of boxes before
shipping them to the customers. If the box weights have a population
mean of 80 lb and standard deviation of 6 lb, respectively, then based on

a sample size of 100 boxes, what is the probability that the average
weight of the boxes will exceed 83 lb?
5.
A random sample of size 100 is taken from a population with mean 64
and standard deviation 5.2. Find P(x bar < 60).
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QNT 275T Apply Week 1 Connect Exercise (All Possible
Question Answers)
Week 1 Connect Exercise (All Possible Question Answers)
QNT/275T

College entrance exam scores, such as SAT scores, are an example of
a(n)________ variable.
______ is a necessary component of a runs plot.
Jersey numbers of soccer players is an example of a(n)______ variable.
An identification of police officers by rank would represent
a(n)________ level of measurement.
A ________ is a set of assumptions about how sample data are selected
and about the population from which the sample data are selected.
A person's telephone area code is an example of a(n)______ variable.
Which of the following is a quantitative varible?

Which of the following is not a supervised learning technique in
predictive analytics?
Any characteristic of an element is called a _________ .
________ uses traditional or newer graphics to present visual summaries
of business information.
______ is a necessary component of a runs plot.
A(n) _________ variable can have values that indicates into which of
several categories of a population it belongs
A _______ is a set of assumptions about how sample data are selected
and about the population from which the sample data are selected.
Examining all population measurements is called a _______ .
_______ sampling is where we know the chance that each element will
be included in the sample, Which allows us to make statistical inferences
about the sample population.
Statistical ________ refers to using a sample of measurements and
making generalizations about the important aspects of population.
A yes or no question is ________ .
The two types of quantitative variables are
Which of the following is a categorical variable?

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Question Answers)
1) An interval that contains a specified percentage of the individual
measurements is called a(n) _______________ interval.
2) A CFO is looking at what percentage of a company's resources
are spent on computing. He samples companies in the pharmaceutical
industry and develops the following stem-and-leaf graph.

What would be the class length used in creating a frequency histogram?
3) When grouping a large sample of measurements into classes, the
______________ is a better tool than the ___________.
4) All of the following are measures of central tendency except the
____________.

5) The average lateness for one of the top airline companies is 10
minutes. The variance of the lateness measure is calculated as 9. An
airplane arrived 13 minutes after the stated arrival time. Calculate the z-
score for the lateness of this particular airplane.
6) If a population distribution is skewed to the right, then, given a
random sample from that population, one would expect that the
____________.
7) Local electronics retailer recently conducted a study on
purchasers of large screen televisions. The study recorded the type of
television and the credit account balance of the customer at the time of
purchase. They obtained the following results.

What percentage of purchases were plasma televisions by customers
with the smallest credit balances?
8) Which of the following graphical tools is not used to study the
shapes of distributions?
9) A flaw possessed by a population or sample unit is
___________.

10) A relative frequency curve having a long tail to the right is said
to be ___________.

Wk 2: Apply: Week 2 Connect Exercise (All Possible Question
Answers)
1. A flaw possessed by a population or sample unit is ___________.
2. The average lateness for one of the top airline companies is 10
minutes. The variance of the lateness measure is calculated as 9. An
airplane arrived 13 minutes after the stated arrival time. Calculate the z-
score for the lateness of this particular airplane.
3. The following is a partial relative frequency distribution of
grades in an introductory statistics course.

Find the relative frequency for the B grade.
4. The average life of Canadian women is 73.75 years, and the
standard deviation of the life expectancy of Canadian women is 6.5
years. Based on Chebyshev's Theorem, determine the upper and lower
bounds on the average life expectancy of Canadian women such that at
least 90 percent of the population is included.

5. The Rivertown city council is attempting to choose one of four
sites (A, B, C, or D) as the location for its new emergency facility. After
the new emergency facility becomes available for service, the current
emergency facility will be shut down. The project manager has
estimated the following response times in minutes from each of the
proposed sites to the four areas that must be served by the emergency
facility.
The number of emergency runs from the current emergency facility to
each of the four areas over the past year is as follows:

6. Compute the weighted mean response time from the proposed
locations and determine which proposed site should be selected for the
new emergency facility.
7. Which of the following graphical tools is not used to study the
shapes of distributions?
8. A histogram that tails out toward smaller values is ___________.

9. Which of the following is not a graphical tool for descriptive
analytics (dashboards)?
10. When grouping a large sample of measurements into classes, the
______________ is a better tool than the ___________.
11. A very simple graph that can be used to summarize a quantitative
data set is called a(n) ___________.
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Question Answers)
Week 3
Quiz
Consider a standard deck of 52 playing cards, a randomly selected card
from the deck, and the following events: R = red, B = black, A = ace, N
= nine, D = diamond, and C = club.
Are D and C mutually exclusive?
Yes, mutually exclusive.

If the mileage per gallon for a car is normally distributed, 32 mpg has a z
score of 1.2, and 24 mpg has a z score of −.4, what is the mean mpg of
the distribution?
The life of a light bulb is exponentially distributed with a mean of 1,000
hours. What is the probability that the bulb will last less than 800 hours?
A letter is drawn from the alphabet of 26 letters. What is the probability
that the letter drawn is a vowel?
A survey is made in a neighborhood of 80 voters. 65 are Democrats and
15 are Republicans. Of the Democrats, 35 are women, while 5 of the

Republicans are women. If one subject from the group is randomly
selected, find the probability the individual is a male Republican.
Suppose that the waiting time for a license plate renewal at a local office
of a state motor vehicle department has been found to be normally
distributed with a mean of 30 minutes and a standard deviation of 8
minutes. Suppose that in an effort to provide better service to the public,
the director of the local office is permitted to provide discounts to those
individuals whose waiting time exceeds a predetermined time. The
director decides that 15 percent of the customers should receive this
discount. What number of minutes do they need to wait to receive the
discount?
Container 1 has 8 items, 3 of which are defective. Container 2 has 5
items, 2 of which are defective. If one item is drawn from each

If n = 15 and p = .4, then the standard deviation of the binomial
distribution is
Assume the number of trucks passing an intersection has a Poisson
distribution with a mean of 5 trucks per minute. What is the probability
of 0 or 1 trucks in one minute?
Consider a Poisson distribution with an average of 3 customers per
minute at the local grocery store. If X = the number of arrivals per
minute.

QNT 275 Week 3 Apply Assignment
1. Consider a Poisson distribution with an average of 3 customers
per minute at the local grocery store. If X = the number of arrivals per
minute.
.0216
.0081
.0108
.0118

Explanation: (P (X ≥ 8) = .0081 + .0027 + .0008 + .0002 = .0118?
2. Consider a standard deck of 52 playing cards, a randomly
selected card from the deck, and the following events: R = red, B =
black, A = ace, N = nine, D = diamond, and C = club.
Yes, mutually exclusive.
No, not mutually exclusive.

3. The probability that an appliance is currently being repaired is .5.
If an apartment complex has 100 such appliances, what is the probability
that at least 60 are currently being repaired? Use the normal
approximation to the binomial.
.5000
.0287
.6000
.9713
Explanation: z = (59.5 − (.5) (100)/√[(.5)(.5)(100)] = 1.9
P (z ≥ 1.9) = 1 − 0.9713 = 0.0287

4. Consider a Poisson distribution with an average of 3 customers
per minute at the local grocery store. If X = the number of arrivals per
minute, find the expected value of X.
3
9
1.5
1.7
5. While conducting experiments, a marine biologist selects water
depths from a uniformly distributed collection that vary between 2.00 m
and 7.00 m. What is the probability that a randomly selected depth is
between 2.25 m and 5.00 m?

.79
.45
.55
.50
Explanation: P (2.25 ≤ x ≤ 5) = (5 − 2.25)/(7.0 − 2.0) = 2.75/5 = .55

6. If the random variable x is normally distributed, ______ percent
of all possible observed values of x will be within three standard
deviations of the mean.
68.26
95.44
99.73
100
None of the other choices is correct.
7. For a binomial process, the probability of success is 40 percent
and the number of trials is 5. Find the variance.

5.0
1.2
2.0
1.1
Explanation: σ2x = (5) (.4) (.6) = 1.2
8. Employees of a local university have been classified according to
gender and job type.

If an employee is selected at random, what is the probability that the
employee is a member of the hourly staff, given that the employee is
female?
0.400
0.133
0.160

0.053
0.533
Explanation:
9. For a binomial process, the probability of success is 40 percent
and the number of trials is 5. Find P (X ≤ 1).
rev: 01_31_2019_QC_CS-156253
.0870

.2592
.0778
.3370
Explanation: P(X ≤ 1) = P(X = 0) + P(X = 1)
= (.0778) + (.2592) = .337
10. Container 1 has 8 items, 3 of which are defective. Container 2
has 5 items, 2 of which are defective. If one item is drawn from each

0.2250
0.3000
0.0250
0.4000
0.1500
Explanation:
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Question Answers)

QNT 275T Apply Week 4 Connect Exercise (All Possible Question
Answers)
1) A sample of 100 items has a population standard deviation of 5.1
and a mean of 21.6. Construct a 95 percent confidence interval for μ.
2) Recently, a case of food poisoning was traced to a particular
restaurant chain. The source was identified and corrective actions were
taken to make sure that the food poisoning would not reoccur. Despite
the response from the restaurant chain, many consumers refused to visit
the restaurant for some time after the event. A survey was conducted
three months after the food poisoning occurred, with a sample of 319

former customers contacted. Of the 319 contacted, 29 indicated that they
would not go back to the restaurant because of the potential for food
poisoning. Construct a 95 percent confidence interval for the true
proportion of the market who still refuse to visit any of the restaurants in
the chain three months after the event.
3) A research study investigated differences between male and
female students. Based on the study results, we can assume the
population mean and standard deviation for the GPA of male students
are µ = 3.5 and σ = 0.5. Suppose a random sample of 100 male students
is selected and the GPA for each student is calculated. Find the interval
that contains 95.44 percent of the sample means for male students.

4) f the sampled population is finite and at least _____ times larger
than the sample size, we treat the population as infinite.
20
5) For the following hypothesis test, where H0: μ ≤ 10; vs. HA: μ >
10, we reject H0 at level of significance α and conclude that the true
mean is greater than 10, when the true mean is really 8. Based on this
information, we can state that we have

6) The ______________ of a sample statistic is the probability
distribution of the population of all possible values of the sample
statistic.
7) The t distribution approaches the _______________ distribution
as the sample size ___________.
8) If the sampled population has a mean of 48 and standard
deviation of 16, then the mean and the standard deviation for the
sampling distribution of x¯x¯ for n = 16 are

9) The value of χ2α in a particular situation depends on
10) Assuming that the null hypothesis is true, the ______________
is the probability of observing a value of the test statistic that is at least
as extreme as the value actually computed from the sample data.
11) The width of a confidence interval will be

12) A sample of 100 items has a population standard deviation of 51
and a mean of 216 construct a 95 percent confidence interval for M.
13) Recently a case of food poisoning was traced to a particular
restaurant chain. The source was identified and corrective actions were
taken to make sure that the food poisoning would not reoccur. Despite
the response from the restaurant chain, many consumers refused to visit
the restaurant for some time after the event. A survey was conducted
three months after the food poisioning occurred, with a sample of 319
former customers contacted. Of the 319 contacted, 29 indicated that they
would not go back to the restaurant because of the potential for food
poisioning. Construct a 95 percent confidence interval for the true
propotion of the market who still refuse to visit any of the restaurants in
the chain three months after the event.

14) A manufacturing company measures the weight of boxes before
shopping them to the customers. If the box weights have a population
mean and standard deviation of 90 Ib and 24 Ib, respectively, then based
on a sample size of 36 boxes. What is the probability that the average
weight of the boxes will exceed 94 Ib?
15) The number of defectives in 10 different samples of 100
observations each is the following: 1,2,1,0,2,3,1,4,2,1. What is the
estimate of the population proportion of defectives?

are µ=3.5 and σ=0.05, Suppose a random sample of 100 male students is
selected and the GPA for each student is calculated. What is the
probability that the random sample of 100 male students has means GPA
greater than 3.42?
16) A researcher for a paint company is measuring the level of a
certain chemical contained in a particular type of paint. If the paint
contains too much of this chemical, the quality of the paint will be
compromised. On average, each can of paint contains 10 percent of the
chemical. How many cans of paint should the sample contain if the
researcher wants to be 98 percent certain of being within 1 percent of the
true proportion of this chemical?

17) A random sample of size 36 is taken from a population with
mean 50 and standard deviation 5. Find p(x<5t.5)
18) Using the critical value rule, if a two-sided null hypothesis is
rejected for a single mean at a given significance level, the
corresponding one-sided null hypothesis (i.e.,the same sample size, the
same standard deviation, and the same means)will _______ be rejected
at the same significance level.

19) If the sampled population has a mean of 48 and standard
deviation of 16, then the mean and the standard deviation for the
sampling distribution of x for n=16 are
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Question Answers)
QNT 275T Apply Week 5 Connect Exercise (All Possible Question
Answers)

1) When the assumption of __________ residuals (error terms) is
violated, the Durbin-Watson statistic is used to test to determine if there
is significant _____________ among the residuals.
2) In a simple linear regression analysis, the correlation coefficient
(r) and the slope (b) ___________ have the same sign.
Always

3) XYZ Company, Annual Data
4) The simple linear regression (least squares method) minimizes
5) When using simple exponential smoothing, the value of the
smoothing constant α cannot be negative or

6) If the Durbin-Watson statistic is greater than (4 − dL), then we
conclude that
7) In a simple regression analysis for a given data set, if the null
hypothesis β = 0 is rejected, then the null hypothesis ρ = 0 is also
rejected. This statement is ___________ true.

8) The demand for a product for the last six years has been 15, 15,
17, 18, 20, and 19. The manager wants to predict the demand for this
time series using the following simple linear trend equation: trt = 12 +
2t. What are the forecast errors for the 5th and 6th years?
9) In performing a chi-square goodness-of-fit test for a normal
distribution, a researcher wants to make sure that all of the expected cell

frequencies are at least five. The sample is divided into 7 intervals. The
second through the sixth intervals all have expected cell frequencies of
at least five. The first and the last intervals have expected cell
frequencies of 1.5 each. After adjusting the number of intervals, the
degrees of freedom for the chi-square statistic is ____.
10) The chi-square goodness-of-fit test for multinomial probabilities
with 5 categories has _____ degrees of freedom.
11) When we carry out a chi-square test of independence, the
alternate hypothesis states that the two relevant classifications

12) In a simple regression analysis for a given data set, if the null
hypothesis β=0 is rejected, then the null hypothesis p=0 is also rejected.
This statement is ______ true.
13) The strength of the relationship between two quantitative
variables can be measured by
14) A real estates company is analyzing the selling prices of
residential homes in a given community, 140 homes that have been said

in the past month are randomly selected and their selling prices are
recorded. The statistician working on the project has started that in order
to perform various stastical tests, the data must be distributed according
to a normal distribution. In order to determine whether the selling prices
of homes included in the random sample are normally distributed, the
statistician divides the data into 6 classes of equal size and records the
number of observations in each class. She then performs a chi-square
goodness-of-fit test for normal distribution. The results are summarized
in the following tables.
What is the appropriate null hypothesis?
15) XYZ company, Annual data
Actual demand Forecasted demand

15 14
15 16
17 18
18 20
20 22
21 24
Based on the information given in the table above,we can conclude that,
in general,

16) The chi-square goodness-of-fit test multinomial probabilities
with 5 categories has ___ degress of freedom.
17) In a simple linear regression analysis, the correlation coefficient
and slope _____ have the same sign.

18) When a binomial distribution describes count data that can be
classified into one of two mutually exclusive categories, a ____
distribution describes count data that are classified into more than two
mutually exclusive categories.
19) Suppose that the unadjusted seasonal factor for the month of
April is 100. The sum of the 12 months unadjusted seasonal factor
values is 12.18. The normalized(adjusted) seasonal factor value for April
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QNT 275T Entire Course

QNT 275T Week 1 Discussion Statistics Tools
QNT 275T Week 1 Practice Knowledge Check
QNT 275T Apply Week 1 Connect Exercise
QNT 275T Week 2 Discussion Charts
QNT 275T Week 3 Discussion Sales Training

QNT 275T Week 4 Discussion Income and Insurance
QNT 275T Week 5 Discussion The Tasty Sub Shop Case and The QHIC
Case

.....................................................................................................................
.........................................
Post a total of 3 substantive responses over 2 separate days for full
participation. This includes your initial post and 2 replies to other
students.
Due Thursday

Respond to the following in a minimum of 175 words:
Review the Discussion FAQs Module. Choose one statistical tool that
you read about this week. Consider a decision you need to make at
work or at home. Explain how this tool will help you make that
decision. Note: This must be original; do not use examples from the
internet.
Due Monday
Reply to at least two of your classmates. Be constructive and
professional in your responses.
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QNT 275T Week 1 Practice Knowledge Check (All
Possible Question Answers)
QNT 275T Week 1 Practice Knowledge Check (All Possible Question
Answers)

1) A sequence of operations that takes inputs and turns them into
outputs is a ________.
2) Time series data are data collected at the same time period.

3) Cross-sectional data are data collected at the same point in time.
4) The number of sick days taken by employees in 2008 for the top
10 technology companies is an example of time series data.
5) Any characteristic of an element is called a ______.

6) ______ uses traditional or newer graphics to present visual
summaries of business information.
7) Daily temperature in a local community collected over a 30-day
time period is an example of cross-sectional data.

8) Secondary data are data taken from an existing source.
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students.
Due Thursday
Review the Discussion FAQs Module. Research the internet for an
example of a pie chart or bar chart. Post a copy along with its source.

Include a question regarding the chart for your classmates to respond to.
Respond to a classmate’s question
Due Monday
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Wk 2: Practice: Week 2 Knowledge Check (All Possible Question
Answers)
1. In a statistics class, the following 10 scores were randomly selected:
74, 73, 77, 77, 71, 68, 65, 77, 67, 66.
What is the median?

77.0
73.0
72.0
71.0
71.5
To calculate median, put data measurements in ascending order. The
median for an even number of measurements is the average of the
middle two measurements; (71+73)/2 =
2. The company financial officer was interested in the average cost of
PCs that had been purchased in the past six months. She took a random
sample of the price of 10 computers, with the following results.

$3,250, $1,127, $2,995, $3,250, $3,445, $3,449, $1,482, $6,120, $3,009,
$4,000
What is the IQR?
3. Which of the following is not a graphical tool for descriptive analytics
(dashboards)?
4. All of the following are measures of central tendency except the
____________.

5. The stem-and-leaf display is advantageous because it allows us to
actually see the measurements in the data set.
False
6. In a hearing test, subjects estimate the loudness (in decibels) of a
sound, and the results are: 68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68.
What is the mean?
7. A quantity that measures the variation of a population or a sample
relative to its mean is called the ____________.

variance
coefficient of variation
range
standard deviation
interquartile range
8. The local amusement park was interested in the average wait time at
recorded were as follows (in minutes): 118, 124, 108, 116, 99, 120, 148,
118, 119, 121, 45, 130, 118.
What is the mode?
118

114.15
148
45
115.5
Mode is the value(s) that appears most frequently; mode = 118 (occurs
three times).

1) The local amusement park was interested in the average wait
time at their most popular roller coaster at the peak park time (2 p.m.).
They selected 13 patrons and had them get in line between 2 and 3 p.m.
Each was given a stopwatch to record the time they spent in line. The
times recorded were as follows (in minutes).
118, 124, 108, 116, 99, 120, 148, 118, 119, 121, 45, 130, 118
What is the IQR?
28
2) The local amusement park was interested in the average wait
time at their most popular roller coaster at the peak park time (2 p.m.).
They selected 13 patrons and had them get in line between 2 and 3 p.m.

Each was given a stopwatch to record the time they spent in line. The
times recorded were as follows (in minutes): 118, 124, 108, 116, 99,
120, 148, 118, 119, 121, 45, 130, 118.
What is the median?
118
3) Quality control is an important issue at ACME Company, which
manufactures light bulbs. Totest the life-hours of their light bulbs, they
randomly sampled nine light bulbs and measured how many hours they
lasted: 378, 361, 350, 375, 200, 391, 375, 368, 321.
What is the mode?
375

4) In a hearing test, subjects estimate the loudness (in decibels) of a
sound, and the results are: 68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68.
What is the mean?
manufactures light bulbs. To test the life-hours of their light bulbs, they
lasted: 378, 361, 350, 375, 200, 391, 375, 368, 321.
What is the median?

6) When establishing the classes for a frequency table, it is
generally agreed that the more classes you use the better your frequency
table will be.
lasted: 378, 361, 350, 375, 200, 391, 375, 368, 321.
What is the mean?

8) Which percentile describes the first quartile, Q1?
lasted (mean = 346.6).
378, 361, 350, 375, 200, 391, 375, 368, 321
What is the range?

10) Personnel managers usually want to know where a job applicant
ranked in his or her graduating class. With a grade point average of 3.83,
Michelle Robinson graduated above the 93rd percentile of her
graduating class. What is the percentile rank of a student whose GPA
was the median GPA.
11) In the least squares line, ___________ is defined as rise/run.
.....................................................................................................................
.........................................
students.

Due Thursday
A company employs 400 salespeople. Of these, 83 received a bonus last
year, 100 attended a special sales training program at the beginning of
last year, and 42 both attended the special sales training program and
received a bonus. (Note: the bonus was based totally on sales
performance.)
a) What proportion of the 400 salespeople received a bonus last year?
b) What proportion of the 400 salespeople attended the special sales
training program at the beginning of last year?
c) What proportion of the 400 salespeople both attended the special
sales training program and received a bonus?
d) What proportion of the salespeople who attended the special sales
training program received a bonus?

e) Based on your answers to parts a and d, does the special sales
training program seem to have been effective? Explain your answer.
Due Monday
.....................................................................................................................
.........................................
Week 3
Knowledge Check (All Possible Question Answers)

In a local survey, 100 citizens indicated their opinions on a revision to a
local land-use plan. Of the 62 persons giving favorable responses, 40
were males. Of the 38 giving unfavorable responses, 15 were males. If
one citizen is randomly selected, find the probability that person is male
and has a favorable opinion.
The set of all possible outcomes for an experiment is called a(n)
____________.
Probabilities must be assigned to each sample space outcome so that the
probabilities of all the sample space outcomes add up to
_____________.

New car owners were asked to evaluate their experiences in buying a
new car during the past 12 months. In the survey, the owners indicated
they were most satisfied with their experiences at the following three
dealers (in no particular order): Subaru, Honda, and Buick. Assuming
that each set of rankings is equally likely, what is the probability that
owners ranked Subaru third?
The internal auditor for your company believes that 10 percent of your
invoices contain errors. To Check (All Possible Question Answers) this
theory, 20 invoices are randomly selected, and 5 are found to have
errors. What is the probability that of the 20 invoices selected, 5 or more
would contain errors if the theory is valid?
The standard deviation of a standard normal distribution is always equal
to 1.

If A and B are independent events, P(A) = .2, and P(B) = .7, determine
A fair die is rolled 10 times. What is the average number of even number
outcomes?

1. In a statistical study, the random variable X = 1 if the house is
colonial, and X = 0 if the house is not colonial. The random variable X
is continuous.
2. The expected value of the discrete random variable x is the
population mean.
3. If the random variable x is normally distributed, ______ percent
of all possible observed values of x will be within three standard

4. Given that X is a normal random variable, the probability that a
given value of X is below its mean is ________________.
Are R and C mutually exclusive?
7. Which of the following statements about the binomial
distribution is not correct?

8. If the random variable x is normally distributed, 68.26 percent of
all possible observed values of x will be within two standard deviations
of the mean.
9. An important part of the customer service responsibilities of a
cable company is the speed with which trouble in service can be
repaired. Historically, the data show that the likelihood is 0.75 that
troubles in a residential service can be repaired on the same day. For the
first five troubles reported on a given day, what is the probability that all
five will be repaired on the same day?
.

11. If the random variable of x is normally distributed, _____ percent
of all possible observed values of x will be within two standard
12. In a local survey, 100 citizens indicated their opinions on a
revision to a local land-use plan. Of the 62 persons giving favorable
responses, 40 were males. Of the 38 giving unfavorable responses, 15
were males. If one citizen is randomly selected, find the probability that
person is male and has a favorable opinion.
13. Suppose that you believe that the probability you will get a grade
of B or better in Introduction to Finance is .6 and the probability that you
will get a grade of B or better in Introduction to Accounting is .5. If
these events are independent, what is the probability that you will
receive a grade of B or better in both courses?

14. The time (in seconds) it takes for an athlete to run 50 meters is an
example of a continuous random variable.
15. In a binomial distribution, the random variable X is continuous.
16. At an oceanside nuclear power plant, seawater is used as part of
the cooling system. This raises the temperature of the water that is
discharged back into the ocean. The amount that the water temperature
is raised has a uniform distribution over the interval from 10° to 25° C.
What is the standard deviation of the temperature increase?

17. A continuous probability distribution having a rectangular shape,
where the probability is evenly distributed over an interval of numbers is
a(n) ____________ distribution.
18. The z value tells us the number of standard deviations that a
value x is from the mean.
19. A fair die is rolled 10 times. What is the average number of even
number outcomes?
20. A random variable is a numerical value that is determined by the
outcome of an experiment.
21. A continuous random variable may assume only integer values in
a given interval.

22. A survey is made in a neighborhood of 80 voters. 65 are
Democrats and 15 are Republicans. Of the Democrats, 35 are women,
while 5 of the Republicans are women. If one subject from the group is
randomly selected, find the probability the individual is a Democrat or a
Republican.
http://www.tutorialrank.com/QNT/QNT-275T/product-27879-
QNT-275T-Week-4-Discussion-Income-and-Insurance
students.
Due Thursday

Suppose that we wish to assess whether more than 60 percent of all U.S.
households in a particular income class bought life insurance last year.
That is, we wish to assess whether p, the proportion of all U.S.
households in the income class that bought life insurance last year,
exceeds .60. Assume that an insurance survey is based on 1,000
randomly selected U.S. households in the income class and that 640 of
these households bought life insurance last year.
a) Assuming that p equals .60 and the sample size is 1,000, what is the
probability of observing a sample proportion that is at least .64?
b) Based on your answer in part a, do you think more than 60 percent of
all U.S. households in the income class bought life insurance last year?
Explain.
Due Monday
.....................................................................................................................
.........................................

Week 4
Knowledge Check (All Possible Question Answers)
If we have a sample size of 100 and the estimate of the population
proportion is .10, we can estimate the sampling distribution of pˆp^
with a normal distribution.
The null hypothesis is a statement that will be accepted only if there is
convincing sample evidence that it is true.

As the sample size increases, the standard deviation of the sampling
distribution increases.
A recent study conducted by the state government attempts to determine
whether the voting public supports a further increase in cigarette taxes.
The opinion poll recently sampled 1,500 voting age citizens. 1,020 of
the sampled citizens were in favor of an increase in cigarette taxes. The
state government would like to decide if there is enough evidence to
establish whether the proportion of citizens supporting an increase in
cigarette taxes is significantly greater than .66. What is the alternative
hypothesis?

If the sampled population distribution is skewed, then in most cases the
sampling distribution of the mean can be approximated by the normal
distribution if the sample size n is at least 30.
A research study investigated differences between male and female
students. Based on the study results, we can assume the population mean
and standard deviation for the GPA of male students are µ = 3.5 and σ =
0.5. Suppose a random sample of 100 male students is selected and the
GPA for each student is calculated. What is μx¯μx¯?
It has been reported that the average time to download the home page
from a government website was 0.9 seconds. Suppose that the download
times were normally distributed with a standard deviation of 0.3

seconds. If random samples of 23 download times are selected, describe
the shape of the sampling distribution and how it was determined.
In the upcoming election for governor, the most recent poll, based on
900 respondents, predicts that the incumbent will be reelected with 55
percent of the votes. From the 900 respondents, how many indicated that
they would not vote for the current governor or indicated that they were
undecided?
1) Based on a random sample of 25 units of product X, the average
weight is 102 lb and the sample standard deviation is 10 lb. We would
like to decide if there is enough evidence to establish that the average
weight for the population of product X is greater than 100 lb. Therefore,

the alternative hypothesis can be written as HA: μ > 100. (Assume the
population is normally distributed.)
True
2) The power of a statistical test is the probability of rejecting the
null hypothesis when it is false.
True
are µ = 3.5 and σ = 0.5. Suppose a random sample of 100 male students

is selected and the GPA for each student is calculated. What is
μx⎯⎯μx¯?
3.5
4) The t distribution always has n degrees of freedom.
False
5) A recent study conducted by the state government attempts to
determine whether the voting public supports a further increase in
cigarette taxes. The opinion poll recently sampled 1,500 voting age
citizens. 1,020 of the sampled citizens were in favor of an increase in
cigarette taxes. The state government would like to decide if there is
enough evidence to establish whether the proportion of citizens

supporting an increase in cigarette taxes is significantly greater than .66.
Identify the null hypothesis.
6) In the upcoming election for governor, the most recent poll,
based on 900 respondents, predicts that the incumbent will be reelected
with 55 percent of the votes. From the 900 respondents, how many
indicated that they would not vote for the current governor or indicated
that they were undecided?
7) If p = .8 and n = 50, then we can conclude that the sampling
distribution of pˆp^ is approximately a normal distribution.

8) A recent study conducted by the state government attempts to
determine whether the voting public supports a further increase in
cigarette taxes. The opinion poll recently sampled 1,500 voting age
citizens. 1,020 of the sampled citizens were in favor of an increase in
cigarette taxes. The state government would like to decide if there is
enough evidence to establish whether the proportion of citizens
supporting an increase in cigarette taxes is significantly greater than .66.
What is the alternative hypothesis?
p

9) According to the Central Limit Theorem, if a sample size is at
least _____, then for most sampled populations, we can conclude that
the sample means are approximately normal.
10) The null hypothesis is a statement that will be accepted only if
there is convincing sample evidence that it is true.

11) The sampling distribution of a sample statistic is the probability
distribution of the population of all possible values of the sample
statistic.
12) If the sampled population distribution is skewed, then in most
cases the sampling distribution of the mean can be approximated by the
normal distribution if the sample size n is at least 30.
13) If we have a sample size of 100 and the estimate of the
population proportion is .10, we can estimate the sampling distribution
of pˆp^ with a normal distribution.

14) For a given hypothesis test, if we do not reject H0, and H0 is
true,
15) As the sample size increases, the standard deviation of the
sampling distribution increases.

16) It has been reported that the average time to download the home
page from a government website was 0.9 seconds. Suppose that the
download times were normally distributed with a standard deviation of
0.3 seconds. If random samples of 23 download times are selected,
describe the shape of the sampling distribution and how it was
determined.
17) A(n) _____________ hypothesis is the statement that is being
tested. It usually represents the status quo, and it is not rejected unless
there is convincing sample evidence that it is false.
.....................................................................................................................
.........................................
QNT 275T Week 5 Discussion The Tasty Sub Shop Case
and The QHIC Case

QNT 275T Week 5 Discussion The Tasty Sub Shop Case and The QHIC
Case
students.
Due Thursday
The Tasty Sub Shop Case:
A business entrepreneur uses simple linear regression analysis to predict
the yearly revenue for a potential restaurant site on the basis of the
number of residents living near the site. The entrepreneur then uses the
prediction to assess the profitability of the potential restaurant site.
And

The QHIC Case:
The marketing department at Quality Home Improvement Center
(QHIC) uses simple linear regression analysis to predict home upkeep
expenditure on the basis of home value. Predictions of home upkeep
expenditures are used to help determine which homes should be sent
advertising brochures promoting QHIC’s products and services.
Discuss the difference in the type of prediction in both cases and provide
rational of the reasons that these predictions were used.
Due Monday
.....................................................................................................................
.........................................

1) In simple regression analysis, the quantity that gives the amount
by which Y(dependent variable) changes for a unit change in
X(independent variable) is called the
2) The chi-square goodness-of-fit test will be valid if the average of
the expected cell frequencies is
3) In simple linear regression analysis, we assume that the variance
of the independent variable (X) is equal to the variance of the dependent
variable (Y).

4) The upward or downward movement that characterizes a time
series over a period of time is referred to as _____________.
5) A major drawback of the aggregate price index is that

It does not take into account the fact that some items in the market based
are purchased more frequently than others
6) The chi-square goodness-of-fit is _________ a one-tailed test
with the rejection region in the right tail
7) The number of degrees of freedom associated with a chi-square
test for independence based upon a contingency table with 4 rows and 3
columns is _____.
6

8) Suppose that the unadjusted seasonal factor for the month of
April is 1.10. The sum of the 12 months' unadjusted seasonal factor
values is 12.18. The normalized (adjusted) seasonal factor value for
April
9) A sequence of values of some variable or composite of variables
taken at successive, uninterrupted time periods is called a
10) Those fluctuations that are associated with climate, holidays, and
related activities are referred to as __________ variations.

11) When the moving average method is used to estimate the
seasonal factors with quarterly sales data, a ______ period moving
average is used.
12) The range for r2 is between 0 and 1, and the range for r is
between ____________.

13) The strength of the relationship between two quantitative
variables can be measured by
14) The correlation coefficient may assume any value between
15) The slope of the simple linear regression equation represents the
average change in the value of the dependent variable per unit change in
the independent variable (X).

16) One use of the chi-square goodness-of-fit test is to determine if
specified multinomial probabilities in the null hypothesis are correct.
variable (Y).

18) The correlation coefficient is the ratio of explained variation to
total variation
19) A ______________________ measures the strength of the
relationship between a dependent variable (Y) and an independent
variable (X).

20) A multinomial probability distribution describes data that are
classified into two or more categories when a multinomial experiment is
carried out.
21) The ____________________ is the proportion of the total
variation in the dependent variable explained by the regression model.
22) When we carry out a chi-square test of independence, the chi-
square statistic is based on (r × c) − 1 degrees of freedom, where r and

cdenote, respectively, the number of rows and columns in the
contingency table.
23) An experiment consists of 400 observations and four mutually
exclusive groups. If the probability of a randomly selected item being
classified into any of the four groups is equal, then the expected number
of items that will be classified into group 1 is _____.
24) A major drawback of the aggregate price index is that

It does not take into account the fact that some items in the market
basket are purchased more frequently than others
25) In simple regression analysis, the quantity that gives the amount
by which y(dependent variable) changes for a unit change in
x(independent variable) is called the
variable(Y).

27) When the moving average method is used to estimate the
seasonal factors with quarterly sales data, a _____ period moving
average is used.
28) Those fluctuations that are associated that are associated with
climate, holidays, and related activities are referred to as _______
variations.

29) A sequences of values of some variable or composite of
variables taken at successive, uninterrupted time periods is called a

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