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QNT 275 Week 1 Statistics in Business
Purpose of Assignment
The purpose of this assignment is to have students demonstrate mastery of the foundational concepts that set the stage for the remainder of the course. Students apply those concepts to business research questions or problem situations to focus their thinking on statistical literacy for use in business decisionmaking.
Assignment Steps
Resources: Week 1 Readings; Statistics Lab
Tutorial help on Excel® and Word functions can be found on the Microsoft® Office® website. There are also additional tutorials via the web that offer support for office products.
Develop a 1,050word response addressing each of the following prompts:
Use two peer reviewed references.
Format your assignment consistent with APA guidelines.
Click the Assignment Files tab to submit your assignment.
QNT 275 Week 1 Practice Set
Complete the Week 1 Practice Set problems.
Click the Assignment Files tab to submit your assignment.
Practice Set 1
Cause of Death  Number of Deaths 
Heart disease  611,105 
Cancer  584,881 
Accidents  130,557 
Stroke  128,978 
Alzheimer’s disease  84,767 
Diabetes  75,578 
Influenza and Pneumonia  56,979 
Suicide  41,149 
Note: Spell quantitative and qualitative in lower case letters.
Gallons of Gas  Number of Customers 
4 to less than 8  78 
8 to less than 12  49 
12 to less than 16  81 
16 to less than 20  117 
20 to less than 24  13 
23  17  34  26  18  33  46  42  12  37 
44  15  22  19  28  32  18  39  40  48 
16  11  9  24  18  26  31  7  30  15 
18  22  29  32  30  21  19  14  26  37 
25  36  23  39  42  46  29  17  24  31 
Note: Round relative frequency to two decimal places. Complete the table by calculating the frequency, relative frequency, and percentage.
Commuting Times  Frequency (part a) 
Relative Frequency (part c) 
Percentage (%) (part d) 
09  ?  0.??  ? 
1019  ?  0.??  ? 
2029  ?  0.??  ? 
3039  ?  0.??  ? 
4049  ?  0.??  ? 
32  33  33  34  35  36  37  37  37  37 
38  39  40  41  41  42  42  42  43  44 
44  45  45  45  47  47  47  47  47  48 
48  49  50  50  51  52  53  54  59  61 
Each stem has been displayed (left column). Complete this stemandleaf display for these data.
Note: Use a space in between each leaf. For example 1 2 3 4 5 6 7 8 9 (do not use this format 123456789).
3  ?…  
4  ?…  
5  ?…  
6  ?… 
6 A) Which of the five measures of center (the mean, the median, the trimmed mean, the weighted mean, and the mode) can be calculated for quantitative data only.
205  265  176  314  243  192  297  357  238  281  342  259 
Calculate the (a) mean, (b) median and (c) Is there a mode (Yes or No)?
$89  $170  $104  $113  $56  $161  $147 
73  75  69  68  78  69  74 
76  72  79  68  77  71 
Note: Round to two decimal places. Do not include unit.
QNT 275 Week 1 Quiz
Your answers : 6/6 (100%)
Correct answerquestion1
Crosssection data are collected:
on different elements for the same variable for different periods of time
on the same variable for the same variable at different points in time
on different elements at the same point in time
for a qualitative variable
An independent group wants to determine if the consumption of gasoline has increased due to changes in price. The group randomly selects 320 gas stations from 12 different states and collects data from the month of the year when gas is the cheapest and from the month of the year when gas is the most expensive. The data shows no significant difference in gas consumption between the two months. In this example, what is the variable being studied?
The 320 gas stations chosen.
The price of gasoline.
The 12 different states.
The consumption of gasoline.
A simple random sample is a sample drawn in such a way that:
each member of the population has some chance of being included in the sample
each member of the population has a 0.10 chance for being included in the sample
each sample of the same size has an equal chance of being selected
every tenth element of an arranged population is included
The Ohio lottery involves selecting 5 numbers from 5 different bins. This is an example of sampling
with replacement.
without replacement.
In statistics, a population consists of:
a selection of a limited number of elements
all people living in the area under study
all people living in a country
all subjects or objects whose characteristics are being studied
Under inferential statistics, we study
the methods to make decisions about one or more populations based on sample results
how to make decisions about a mean, median, or mode
tables composed of summary measures
how a sample is taken from a population
Resources: Week 2 Learning Team Collaborative Discussion and the Learning Team Charter for Collaborative Learning Activities.
Write a 150 to 200word individual response to the following:
Click the Assignment Files tab to submit your assignment and be sure to attach a copy of your Learning Team Charter for Collaborative Learning Activities.
Purpose of Assignment
This assignment provided students with practice in understanding the relationship of averages and standard deviation to make an informed business decision about the gross income performance of each movie genre. Students will learn to implement the use of these statistical measures for better business decisionmaking.
Resources: Week 2 Videos; Week 2 Readings; Statistics Lab
Tutorial help on Excel® and Word functions can be found on the Microsoft® Office website. There are also additional tutorials via the web offering support for Office products.
Assignment Steps
Refer to MiniProject Movie Data Set.
Analyze and write a report summarizing this data. This report should include answers to at least the following questions:
Use the mean movie gross income for each genre to compare the movie opening gross income.
Choose an appropriate statistical measure to compare the consistency of movie gross income.
Make the calculations and write a 700word report comparing the total movie gross income and the consistency of movie opening gross by genre.
Format your assignment consistent with APA guidelines.
Click the Assignment Files tab to submit your assignment.
QNT 275 Week 2 Practice Set
Practice Set 2
Note: Separate your response with a comma (,). For example 22, 23, 24
Note: Use this notation for your answer. heads = H. tails = T. For example HT, TH
Note: Use this notation. Heads = H or numbers 1, 2, 3, 4, 5, 6 for the dice. For example
H1 indicates heads and dice roll equal to 1.
Have Shopped  Have Never Shopped  
Male  500  700 
Female  300  500 
x  0  1  2  3  4  5  6 
P(x)  .11  .19  .28  .15  .12  .09  .06 
Find the following probabilities.
x  0  1  2  3  4  5  6  7  8 
P(x)  .0454  .1723  .2838  .2669  .1569  .0585  .0139  .0015  .0008 
Calculate the mean and standard deviation of this probability distribution. Give a brief interpretation of the values of the mean and standard deviation.
Verify your answers by using Table I of Appendix B.
QNT 275 Week 2 Quiz
The number of classes in a frequency distribution depends on the size of the data set. In general, the:
number of classes should be equal to the number of values in the data set divided by 5
larger the data set, the larger the number of classes
larger the data set, the smaller the number of classes
smaller the data set, the larger the number of classes
Which of the following pairs of events is mutually exclusive?
Female and male
Female and republican
Male and republican
Male and no opinion
Female and democrat
Which of the following is not an example of a discrete random variable?
The number of persons allergic to penicillin
The time spent by a physician with a patient
The number of days it rains in a month in New York
The number of stocks a person owns
We obtain the percentage of a category by:
dividing the frequency of that category by 100
dividing the sum of all frequencies by the frequency of that category
multiplying the frequency of that category by 100
multiplying the relative frequency of that category by 100
You toss a coin nine times and observe 3 heads and 6 tails. This event is a:
compound event
multinomial sample point
multiple outcome
simple event
You randomly select two households and observe whether or not they own a telephone answering machine. Which of the following is a simple event?
At most one of them owns a telephone answering machine.
Neither of the two owns a telephone answering machine.
At least one of them owns a telephone answering machine.
Exactly one of them owns a telephone answering machine.
Purpose of Assignment
The purpose of this assignment is to provide students the opportunity to demonstrate mastery of their ability to apply statistical concepts to business situations to inform datadriven decisionmaking. The project is a 3week project, with part 1 in Week 3, part 2 in Week 4, and part 3 in Week 5. In Week 3, students identify the organization, problem, research variable, methods for collecting data, and show mastery of validity and reliability as applied to datacollection methods.
Resources: Week 3 Videos; Week 3 Readings; Statistic Lab
Tutorial help on Excel® and Word functions can be found on the Microsoft® Office website. There are also additional tutorials via the web offering support for Office products.
Assignment Steps
Identify a business problem or opportunity at a company where you work or with which you are familiar. This will be a business problem you use for the individual assignments in Weeks 35. It should be a problem/opportunity for which gathering and analyzing some type of data would help you understand the problem/opportunity better.
Identify a research variable within the problem/opportunity that could be measured with some type of data collection.
Consider methods for collecting a suitable sample of either qualitative or quantitative data for the variable.
Consider how you will know if the data collection method would be valid and reliable.
Develop a 1,050word analysis to describe a company, problem, and variable including the following in your submission:
Format your assignment consistent with APA guidelines.
Click the Assignment Files tab to submit your assignment.
Complete the Week 3 Practice Set problems.
Click the Assignment Files tab to submit your assignment.
Practice Set 3
mean that is, the area between μ − σ and μ + σ. Round to four decimal places.
Source of Variation 
Degrees of Freedom 
Sum of Squares 
Mean Square 
Value of the Test Statistic 
Between  2  II  19.2813  
Within 

89.3677  III  F = ___V__ = VII VI 
Total  12  IV 
Your answers : 6/6 (100%)
Correct answerquestion1
The sampling error is:
an error that occurs when a sample of 30 or more members is drawn
the difference between the value of a sample statistic and the value of the corresponding population parameter
an error that occurs when a sample of fewer than 30 members is drawn
an error that occurs during collection, recording, and tabulation of data
To use an F distribution, the random variable must be:
a discrete random variable
a qualitative random variable
a continuous random variable
either a discrete or a continuous random variable
A continuous random variable is a random variable that can:
assume any value in one or more intervals
assume no continuous random frequency
have no random sample
assume only a countable set of values
The population distribution is the probability distribution of the:
whole population of a country
population data
population probabilities
population means
Which of the following is not a characteristic of the normal distribution?
The value of the mean is always greater than the value of the standard deviation
The two tails of the curve extend indefinitely
The total area under the curve is 1.0
The curve is symmetric about the mean
The units of an F distribution:
are always positive
are always nonnegative
can be negative, zero, or positive
are always negative
Purpose of Assignment
This assignment provides students with practice in understanding how to develop a hypothesis and interpret its findings. Students will learn to implement the use of these statistical measures for better business decisionmaking.
Assignment Steps
Resources: Week 4 Videos; Week 4 Readings; Statistics Lab
Tutorial help on Excel® and Word functions can be found on the Microsoft® Office website. There are also additional tutorials via the web offering support for Office products.
Use the same business problem/opportunity and research variable you wrote about in Week 3.
Note: Do not actually collect any data; think hypothetically.
Develop a 1,050word report in which you:
Format your assignment consistent with APA guidelines.
Click the Assignment Files tab to submit your assignment.
Complete the Week 4 Practice Set problems.
Click the Assignment Files tab to submit your assignment.
Practice Set 4
that σ = 4.8.
a.The null hypothesis is a claim about a population parameter that is assumed to be false until it is declared false.
n1 = 18 x1 = 7.82 σ1 = 2.35
n2 =15 x2 =5.99 σ2 =3.17
Round to two decimal places.
populations.
n1 =650 x1 =1.05 σ1 =5.22
n2 =675 x2 =1.54 σ2 =6.80
Test at a 5% significance level if μ1 is less than μ2.
Your answers : 6/6 (100%)
Correct answerquestion1
The values assigned to a population parameter based on the value(s) of a sample statistic are:
a sampling distribution
the probability distribution
the probabilities
estimate(s)
The null hypothesis is a claim about a:
statistic, where the claim is assumed to be true until it is declared false
parameter, where the claim is assumed to be true until it is declared false
parameter, where the claim is assumed to be false until it is declared true
statistic, where the claim is assumed to be false until it is declared true
A sample of 126 corporate managers and another sample of 168 college professors produced mean jobrelated stress scores of 7.35 for the managers and 6.86 for the professors. Suppose that the standard deviations of the stress scores are 1.12 for the managers and 1.82 for the professors. The null hypothesis is that the mean stress scores are the same for corporate managers and college professors, while the alternative hypothesis is that the mean stress score for managers is different from the mean stress score for professors. The significance level for the test is 1%. What are the critical values of z?
2.58 and 2.58
1.96 and 1.96
3.09 and 3.09
2.33 and 2.33
Two samples drawn from two populations are independent if:
the selection of one sample from a population is not related to the selection of the second sample from the same population
the selection of one sample from one population does not affect the selection of the second sample from the second population
two samples selected from the same population have no relation
the selection of one sample from a population is related to the selection of the second sample from the same population
The confidence level of an interval estimate is denoted by:
β
(1α)*100%
(1β)*100%
α
For a twotailed test, the pvalue is:
the area in the tail under the curve on the side which the sample statistic lies
twice the area under the curve between the mean and the observed value of the sample statistic
twice the area in the tail under the curve on the side which the sample statistic lies
the area under the curve between the mean and the observed value of the sample statistic
Purpose of Assignment
This assignment provides students with practice in understanding when or why ANOVA and linear regression are identified based on parameters. Students will learn to implement these statistical measures for better business decisionmaking.
Assignment Steps
Resources: Week 5 Videos; Week 5 Readings; Statistics Lab
Tutorial help on Excel® and Word functions can be found on the Microsoft® Office website. There are also additional tutorials via the web offering support for Office products.
Prepare an 11 to 15slide Microsoft® PowerPoint® presentation for the senior management team based on the business problem or opportunity you described in Weeks 34.
Include on the slides what you would want the audience to see (include appropriate visual aids/layout) and include in the speaker’s notes section what you would say as you present each slide. If any source material is quoted or paraphrased in the presentation, use APA citations and references.
Draw on material you developed in the Week’s 3 and 4 assignments.
Include the following in your presentation:
Format your assignment consistent with APA guidelines.
Click the Assignment Files tab to submit your assignment.
Complete the Week 5 Practice Set problems.
Click the Assignment Files tab to submit your assignment.
Practice Set 5
becomes symmetric for large df. The entire distribution curve lies to the right of the vertical
axis. The distribution assumes nonnegative values only
square distribution curve. What is the value of chisquare? Round to three decimal places
chisquare distribution curve. What is the value of chisquare? Round to three decimal places
chisquare distribution curve. What is the value of chisquare? Round to three decimal places.
expected frequencies derived from a certain pattern or theoretical distribution. The test
evaluates how well the observed frequencies fit the expected frequencies.
multinomial experiment. The expected frequencies are the frequencies that we expect to obtain
if the null hypothesis is true.
probability that an element belongs to that category if the null hypothesis is true. The
________ for a goodness–of–fit test are k – 1, where k denotes the number of possible
outcomes (or categories) for the experiment.
N=460, ∑x=3920, ∑y=2650, ∑xy=26,570, ∑x2=48,530
Find the population regression line. Round to three decimal places. Use the format as an example when submitting your equation 456.123 + 789.123x
n=12, ∑x=66, ∑y=588, ∑xy=2244, ∑x2=396
Find the estimated regression line Use this format as an example when submitting your equation 123 – 45x
Complete the Final Examination. You are allowed one attempt to complete the examination, which is timed and must be completed in 3 hours. Results are automatically graded and sent to your instructor.
Note: The automated final exam was designed in Google Chrome and is best viewed in the latest version of the browser. If you do not use the latest version of Google Chrome to view and complete the automated final exam, you may not be able to view the entire exam content. If you do not have the most current version of Google Chrome, download the browser before you enter the exam.
1
To make tests of hypotheses about more than two population means, we use the:
t distribution
normal distribution
chisquare distribution
analysis of variance distribution
2
You randomly select two households and observe whether or not they own a telephone answering machine. Which of the following is a simple event?
At most one of them owns a telephone answering machine.
At least one of them owns a telephone answering machine.
Neither of the two owns a telephone answering machine.
Exactly one of them owns a telephone answering machine.
3
In a oneway ANOVA, we analyze only one:
population
mean
variable
sample
4
The regression model y = A + Bx + e is:
an exact relationship
a probabilistic model
a nonlinear model
a deterministic model
5
For a goodnessoffit test, the frequencies obtained from the performance of an experiment are the:
objective frequencies
observed frequencies
subjective frequencies
expected frequencies
6
The mean of a discrete random variable is the mean of its:
frequency distribution
second and third quartiles
percentage distribution
probability distribution
7
A researcher wants to test if the mean annual salary of all lawyers in a city is different than $110,000. The null hypothesis for this example will be that the population mean is:
greater than to $110,000
not equal to $110,000
equal to $110,000
less than to $110,000
8
Which of the following pairs of events are mutually exclusive?
Female and no
Female and yes
Female and male
No and yes
9
In a hypothesis test, a Type I error occurs when:
a false null hypothesis is not rejected
a true null hypothesis is rejected
a true null hypothesis is not rejected
a false null hypothesis is rejected
10
You toss a coin nine times and observe 3 heads and 6 tails. This event is a:
multiple outcome
simple event
multinomial sample point
compound event
11
The graph of a cumulative frequency distribution is a(n):
stemandleaf display
frequency histogram
ogive
line graph
12
What is the critical value of t for the hypothesis test?
2.441
2.449
2.733
2.738
13
An error that occurs because of chance is called:
mean error
probability error
sampling error
nonsampling error
14
A researcher wants to test if elementary school children spend less than 30 minutes per day on homework. The alternative hypothesis for this example will be that the population mean is:
equal to 30 minutes
not equal to 30 minutes
less than or equal to 30 minutes
less than 30 minutes
15
A quantitative variable is the only type of variable that can:
have no intermediate values
be used to prepare tables
assume numeric values for which arithmetic operations make sense
be graphed
16
The pvalue is the:
largest significance level at which the alternative hypothesis can be rejected
smallest significance level at which the null hypothesis can be rejected
largest significance level at which the null hypothesis can be rejected
smallest significance level at which the null hypothesis can be rejected
17
If you divide the number of elements in a sample with a specific characteristic by the total number of elements in the sample, the dividend is the:
sampling distribution
sample distribution
sample mean
sample proportion
18
A linear regression:
gives a relationship between two variables that can be described by a line
gives a relationship between two variables that cannot be described by a line
gives a relationship between three variables that can be described by a line
contains only two variables
19A continuous random variable x has a rightskewed distribution with a mean of 80 and a standard deviation of 12. The sampling distribution of the sample mean for a sample of 50 elements taken from this population is:
skewed to the left
not normal
approximately normal
skewed to the right
20
Which of the following assumptions is not required to use ANOVA?
All samples are of the same size.
The samples drawn from different populations are random and independent.
The populations from which the samples are drawn are (approximately) normally distributed.
The populations from which the samples are drawn have the same variance.
21
The model y = A + Bx is a:
nonlinear model
stochastic model
probabilistic model
deterministic model
22
In a hypothesis test, a Type II error occurs when:
a false null hypothesis is rejected
a true null hypothesis is rejected
a true null hypothesis is not rejected
a false null hypothesis is not rejected
23
Two paired or matched samples would imply that:
data are collected on two variables from the elements of two independent samples
two data values are collected from the same source (elements) for two dependent samples
two data values are collected from the same source (elements) for two independent samples
data are collected on one variable from the elements of two independent samples
24
What is the critical value of z for the hypothesis test?
2.05
2.33
2.17
1.96
25
A qualitative variable is the only type of variable that:
can assume an uncountable set of values
cannot be measured numerically
cannot be graphed
can assume numerical values
26
The alternative hypothesis is a claim about a:
statistic, where the claim is assumed to be false until it is declared true
parameter, where the claim is assumed to be true until it is declared false
statistic, where the claim is assumed to be true if the null hypothesis is declared false
parameter, where the claim is assumed to be true if the null hypothesis is declared false
27
For small degrees of freedom, the chisquare distribution is:
rectangular
skewed to the left
symmetric
skewed to the right
28
We can use the analysis of variance procedure to test hypotheses about:
the proportion of one population
two or more population proportions
two or more population means
the mean of one population
29
For a onetailed test, the pvalue is:
twice the area under the curve to the same side of the value of the sample statistic as is specified in the alternative hypothesis
the area under the curve to the same side of the value of the sample statistic as is specified in the alternative hypothesis
twice the area under the curve between the mean and the observed value of the sample statistic
the area under the curve between the mean and the observed value of the sample statistic
30
The mean of a discrete random variable is its:
second quartile
boxandwhisker measure
upper hinge
expected value