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Devry Math533 full course Latest 2015 december [ all discussions , full course project and final but no quiz ]

Devry Math533 Week 1 Discussion DQ 1 Latest 2015 November
DQ 1
Class, provide examples of how you can use statistical analysis to
make better decisions in your career or daily life.
Devry Math533 Week 2 Discussion DQ
1 Latest 2015 November
DQ 1
A number of years ago, there was a
popular television game show called Let's Make a Deal. The host, Monty Hall,
would randomly select contestants from the audience and, as the title suggests,
he would make deals for prizes. Contestants would be given relatively modest
prizes and then would be offered the opportunity to risk that prize to win
better ones.
Suppose you are a contestant on this
show. Monty has just given you a free trip worth $500 to a locale that is of
little interest to you. He now offers you a trade: Give up the trip in exchange
for a gamble. On the stage are three curtains, A, B, and C. Behind one of them
is a brand-new car worth $45,000. Behind the other two curtains, the stage is
empty.
You decide to gamble and give up the
trip. (The trip is no longer an option for you.) You must now select one of the
curtains. Suppose you select Curtain A.
In an attempt to make things more interesting, Monty then exposes
an empty stage by opening Curtain C (he knows that there is nothing behind
Curtain C). He then asks you if you want to keep Curtain A, or switch to
Curtain B.
What would you do?
Hint: Questions to consider are: What is the probability of
winning and the probability of losing the car prior to opening Curtain C? What
is the probability of winning and the probability of losing the car after
Curtain C is opened? What is your best strategy?
Devry Math533 Week 3 Discussion DQ
1 Latest 2015 November
DQ 1
Class, based on internet research and in your own words discuss
history of Normal distribution and its original applications.
Devry Math533 Week 4 Discussion DQ
1 Latest 2015 November
DQ 1
Class, this week we will cover the concept of statistical
Hypothesis testing. In plain language, what is the purpose of this test?week 5Read the selection in your text book pertaining to the Case: Statistics in Action: Diary of a Kleenex®
User; load the data set for the case, TISSUES, into Minitab; answer the
question about the case in the Discussion area; and likewise read and
respond to the follow-on selections in the textbook for the case in the
Statistics in Action Revisited.How would you briefly summarize the case, and the data that was generated?week 6Class, based on internet research, discuss the historical development and original applications of regression analysis.week 7Read the Case: Statistics in Action: Bid-Rigging in the Highway
Construction Industry, in Chapter 11 of your textbook, and answer the
following questions. The data set, FLAG, for the case study is available
in the publisher’s website, so you don’t need to enter the data into
Minitab by hand.What is this case about? Describe the key variables.course project.equella.ecollege.com/file/b438cf8a-2ffd-44e8-a23f-f8e998e5493c/2/MATH533_CH_CourseProject.html#">Course Project > IntroductionCourse Project: AJ DAVIS DEPARTMENT STORES01:20 AM MT12/30/2015IntroductionYour Instructor will provide you with a Case description and data set in Doc Sharing.PROJECT PART A: Exploratory Data AnalysisOpen the files for the Course Project and the data set in Doc Sharing.For
each of the five variables, process, organize, present and summarize
the data. Analyze each variable by itself using graphical and numerical
techniques of summarization. Use MINITAB as much as possible, explaining
what the printout tells you. You may wish to use some of the following
graphs: stem-leaf diagram, frequency/relative frequency table,
histogram, boxplot, dotplot, pie chart, bar graph. Caution: not all of
these are appropriate for each of these variables, nor are they all
necessary. More is not necessarily better. In addition be sure to find
the appropriate measures of central tendency, the measures of
dispersion, and the shapes of the distributions (for the quantitative
variables) for the above data. Where appropriate, use the five number
summary (the Min, Q1, Median, Q3, Max). Once again, use MINITAB as
appropriate, and explain what the results mean.Analyze the
connections or relationships between the variables. There are ten
possible pairings of two variables. Use graphical as well as numerical
summary measures. Explain what you see. Be sure to consider all 10
pairings. Some variables show clear relationships, while others do not.Prepare your report in Microsoft Word, integrating your graphs and tables with text explanations and interpretations.
Be sure that you have graphical and numerical back up for your
explanations and interpretations. Be selective in what you include in
the report. I'm not looking for a 20 page report on every variable and
every possible relationship (that's 15 things to do).In particular, what I want you do is to highlight what you see for three individual variables
(no more than 1 graph for each, one or two measures of central tendency
and variability (as appropriate), the shapes of the distributions for
quantitative variables, and two or three sentences of interpretation).
For the 10 pairings, identify and report only on three of the pairings, again using graphical and numerical summary (as appropriate), with interpretations. Please
note that at least one of your pairings must include the qualitative
variable and at least one of your pairings must not include the
qualitative variable.All DeVry University policies are in effect, including the plagiarism policy.Project Part A report is due by the end of Week 2.Project Part A is worth 100 total points. See grading rubric below.Submission: The report including all relevant graphs and numerical analysis along with interpretations.Format for report:Brief IntroductionDiscuss your 1st individual variable, using graphical, numerical summary and interpretationDiscuss your 2nd individual variable, using graphical, numerical summary and interpretationDiscuss your 3rd individual variable, using graphical, numerical summary and interpretationDiscuss your 1st pairing of variables, using graphical, numerical summary and interpretationDiscuss your 2nd pairing of variables, using graphical, numerical summary and interpretationDiscuss your 3rd pairing of variables, using graphical, numerical summary and interpretationConclusionProject Part A Grading RubricCategoryPoints%DescriptionThree Individual Variables - 12pts. each3636graphical analysis, numerical analysis (when appropriate) and interpretationThree Relationships - 15 pts. each4545graphical analysis, numerical analysis (when appropriate) and interpretationCommunication Skills1919writing, grammar, clarity, logic, cohesiveness, adherence to the above formatTotal100100A quality paper will meet or exceed all of the above requirements.Project Part B: Hypothesis Testing and Confidence IntervalsYour Instructor will provide you with four manager speculations, a.-d., in the Doc Sharing file.Using
the sample data, perform the hypothesis test for each of the above
situations in order to see if there is evidence to support your
manager’s belief in each case a.-d. In each case use the Seven Elements
of a Test of Hypothesis, in Section 6.2 of your text book, using the ?
provided by your Instructor in the Doc Sharing materials, and explain
your conclusion in simple terms. Also be sure to compute the p-value and
interpret.Follow this up with computing confidence intervals
(the required confidence level will be provided by your Instructor) for
each of the variables described in a.-d., and again interpreting these
intervals.Write a report to your manager about the results,
distilling down the results in a way that would be understandable to
someone who does not know statistics. Clear explanations and
interpretations are critical.All DeVry University policies are in effect, including the plagiarism policy.Project Part B report is due by the end of Week 6.Project Part B is worth 100 total points. See grading rubric below.Submission:
The report from part 3 + all of the relevant work done in the
hypothesis testing (including Minitab) in 1., and the confidence
intervals (Minitab) in 2. as an appendix.Format for report:Summary Report (about 1 paragraph on each of the speculations a.-d.)Appendix
with all of the steps in hypothesis testing (the format of the Seven
Elements of a Test of Hypothesis, in Section 6.2 of your text book) for
each speculation a.-d. as well as the confidence intervals, the
p-values, and including all Minitab outputProject Part B: Grading RubricCategoryPoints%DescriptionAddressing each speculation - 20 pts. each8080hypothesis test, interpretation, confidence interval and interpretationSummary report20201 paragraph on each of the speculationsTotal100100A quality paper will meet or exceed all of the above requirements.Project Part C: Regression and Correlation AnalysisYour
Instructor will specify for you the dependent variable and the
independent variables in your Case and data. Using MINITAB perform the
regression and correlation analysis for the data by answering the
following.Generate a scatterplot for the specified dependent
variable and the specified independent variable, including the graph of
the "best fit" line. Interpret.Determine the equation of the
"best fit" line, which describes the relationship between the dependent
variable and the selected independent variable.Determine the coefficient of correlation. Interpret.Determine the coefficient of determination. Interpret.Test
the utility of this regression model (use a two tail test with the ?
provided by your Instructor). Interpret your results, including the
p-value.Based on your findings in 1-5, what is your opinion
about using the designated independent variable to predict the
designated dependent variable? Explain.Compute the confidence
interval for beta-1 (the population slope), using the confidence level
specified by your Instructor. Interpret this interval.Using an
interval, estimate the average for the dependent variable for a selected
value of the independent variable (to be provided by your Instructor).
Interpret this interval.Using an interval, predict the
particular value of the dependent variable for a selected value of the
independent variable (to be provided by your Instructor). Interpret this
interval.What can we say about the value of the dependent
variable for values of the independent variable that are outside the
range of the sample values? Explain your answer.In an
attempt to improve the model, we will attempt to do a multiple
regression model predicting the dependent variable based on all of the
independent variables.Using MINITAB run the multiple
regression analysis using the designated dependent and independent
variables. State the equation for this multiple regression model.Perform the Global Test for Utility (F-Test). Explain your conclusion.Perform
the t-test on each independent variable. Explain your conclusions and
clearly state how you should proceed. In particular, which independent
variables should we keep and which should be discarded. If any
independent variables are to be discarded, re-run the multiple
regression, including only the significant independent variables, and
include the final Minitab output, with interpretation.Is this multiple regression model better than the linear model that we generated in parts 1-10? Explain.All DeVry University policies are in effect, including the plagiarism policy.Project Part C report is due by the end of Week 7.Project Part C is worth 100 total points. See grading rubric below.Summarize
your results from 1-14 in a report that is three pages or less in
length and explains and interprets the results in ways that are
understandable to someone who does not know statistics.Submission: The summary report + all of the work done in 1-14 (Minitab Output + interpretations) as an appendix.Format for report:Summary ReportPoints 1-14 addressed with appropriate output, graphs and interpretations. Be sure to number each point 1-14.finalDevry Math533 week 8
Final Exam Latest 2015 November1.Question
:(TCO
A)Consider the
following raw data that is the result of selecting a random sample of 15
days noting the number of claims an experienced insurance claims adjuster
made each day.31
27
25
26
29
31
25
25
26
21
40
41
31
28
42
a. Compute the mean, median, mode, and standard
deviation, Q1, Q3, Min, and Maxfor the above
sample data on number of claims per day.
b. In the context of this situation, interpret the Median, Q1,
and Q3.Question 2.Question
:(TCO
B) Consider the following data on customers at an office supply store.
These customers are categorized by their previous volume purchases and
their age.20's30's40's50 or olderTotalNew
Customer5132851,2281002,126Low
Volume4171392,5782153,349Mid
Volume2504517,8598019,361High
Volume1006156,5259948,234Total1,2801,49018,1902,11023,070If you choose one customer at random, then find the probability that the
customera. is a new customer.
b. is a high volume customer and is in the 40's.
c. is in the 20's, given that the customer is low volume.Points
Received:18
of 18Comments:Question 3.Question
:(TCO
B) Records of a health insurance company show that 40% of policyholders
under age 30 submitted a claim during the past year. A random sample of 75
policyholders under age 30 is selected. Assuming the records are correct,
then find the probability thata. exactly 30 submitted a claim during the past year.
b. more than 32 submitted a claim during the past year.
c. at most 29 submitted a claim during the past year.Points
Received:18
of 18Comments:Question 4.Question
:(TCO
B) The demand for gasoline at a local service station is normally
distributed with a mean of 27,009 gallons per day and a standard deviation
of 4,530 gallons per day.a. Find the probability that the demand for gasoline exceeds 22,000 gallons
for a given day.
b. Find the probability that the demand for gasoline falls between 20,000
and 23,000 gallons for a given day.
c. How many gallons of gasoline should be on hand at the beginning of each
day so that we can meet the demand 90% of the time (i.e., the station
stands a 10% chance of running out of gasoline for that day)?Points
Received:18
of 18Comments:Question 5.Question
:(TCO
C) The Acton Paper Company employs a human resources manager who is given
responsibility for employee benefits. There is a question about the mean
annual dental expense per employee. The manager selects a random sample of
40 employee records for the past year and finds the following results.Sample Size = 40
Sample Mean = $563
Sample Standard Deviation = $78a. Construct a 90% confidence interval for the mean annual dental expense
per employee.
b. Interpret this interval.
c. How large a sample size will need to be selected if we wish to have a
95% confidence interval with a margin for error of $10?Points
Received:18
of 18Comments:Question 6.Question
:(TCO
C) A company contemplating the introduction of a new product wants to
estimate the percentage of the market that this new product might capture.
In a survey, a random sample of 100 potential customers were asked whether
they would purchase this new product. The results were that 14 responded
affirmatively.a. Compute the 95% confidence interval for the population proportion of
potential customers that would purchase the new product.
b. Interpret this confidence interval.
c. How many potential customers should be sampled in order to be 95%
confident of being within 1% of the population proportion of potential
customers that would purchase the new product?Points
Received:18
of 18Comments:Question 7.Question
:(TCO
D) An article about women in business claims that 28% of all small
businesses in the United States are owned by women. Sally Parks believes
that this figure is overstated. A random sample of 2,000 small businesses
is selected with 546 being owned by women. Does the sample data provide
evidence to conclude that less than 28% of small businesses in the United
States are owned by women (witha= .10)? Use the
hypothesis testing procedure outlined below.a. Formulate the null and alternative hypotheses.
b. State the level of significance.
c. Find the critical value (or values), and clearly show the rejection and
nonrejection regions.
d. Compute the test statistic.
e. Decide whether you can reject Ho and accept Ha or not.
f. Explain and interpret your conclusion in part e. What does this
mean?
g. Determine the observed p-value for the hypothesis test and interpret
this value. What does this mean?
h. Does the sample data provide evidence to conclude that less than 28% of
small businesses in the United States are owned by women (witha= .10)?Points
Received:24
of 24Comments:Question 8.Question
:(TCO
D) Engineering studies show that it is feasible to install a windmill for
generating electrical power if the mean wind speed is greater than 14 mi
per hour (mph). The Piedmont Electric Co-op is considering locating mulls
at the top of Mount Hunter. A random sample of 45 wind speed readings
yields the following results.Sample Size = 45
Sample Mean = 14.9 mph
Sample Standard Deviation = 3.8 mphDoes the sample data provide sufficient evidence to conclude that
installation is feasible at this location (usinga= .10)? Use the
hypothesis testing procedure outlined below.a. Formulate the null and alternative hypotheses.
b. State the level of significance.
c. Find the critical value (or values), and clearly show the rejection and
nonrejection regions.
d. Compute the test statistic.
e. Decide whether you can reject Ho and accept Ha or not.
f. Explain and interpret your conclusion in part e. What does this mean?
g. Determine the observed p-value for the hypothesis test and interpret
this value. What does this mean?
h. Does the sample data provide sufficient evidence to conclude that
installation is feasible at this location (usinga= .10)?Points
Received:24
of 24Comments:1.Question
:(TCO
E) Management at New England Life wants to establish the relationship
between the number of sales calls made each week (CALLS, X) and the number
of sales made each week (SALES, Y). A random sample of 18 life insurance
salespeople were surveyed yielding the data found below.CALLSSALESPREDICT5718501821006118481458174813299431251173212592132839125416379215621844

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