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Week 1 Assignments: QNT 561 Week 1 Practice Problems
Chapter 2 and 4 Name QNT 561 June 18, 2012 Debasis Bhattacharya
Chapter 2 answers 2.37 Sample mean = (3.2+2.5+2.1+3.7+2.8+2.0)/6 = 16.3/6 = 2.717 The median is the middle value when the data set is ordered. Here since we have even number of observations we need to find the average of the two middle values. Ordered data: 2.0, 2.1, 2.5, 2.8, 3.2, 3.7 Median = (2.5+2.8)/2 = 2.65 2.38 a. Mean = Sum/n = 85/10 = 8.5 b. Mean = Sum/n = 400/16 = 25 c. Mean = Sum/n = 35/45 = 0.778 d. Mean = Sum/n = 242/18 = 13.444 Week 1 Dq1: How may variance and standard deviation be applied to a real-world business-related problem? Provide a specific application in which these measures are useful. Week 1 Dq2 When would you use Chebyshev’s theorem and the empirical rule in business? How are they calculated? Provide one real-life example that requires Chebyshev’s theorem and one that requires the empirical rule. Week 2 Assignments: Business Research Methods Part I Electronic books are becoming more popular because it offers portability, flexibility, larger capacity, and affordability. Barnes and Noble recognize the need to evaluate this change and therefore conduct a business research to determine the best approach to modify the business strategy. The learning team will determine an appropriate business research method to conduct a survey. The survey will be a series of questions from this organizational dilemma to this problem. Defining the problem will assist in determining an appropriate research design that will include characteristics, such as independent and dependent variables, and operational definitions. Additionally, the research will provide a sample design to use for collecting data. Week 2 Dq 1: What are some examples of operational definitions in research design within your profession? For example, in the education field, graduation rate and retention rate are important operational definitions to measure progress of students. Likewise other professions have common metrics and definitions. Identify some metrics and operational definitions from your own career or a profession that you know well. Tell us why you think it is important! Week 2 Dq 2: What is the purpose of sampling? What are some concerns and dangers of sampling? How important is the sample design to data validity? Explain. Provide an example where a sample might misrepresent data validity. For example, reflect on the current political campaign and the pollsters! QNT 561 Week 2 Practice Problems
Ch. 4 of Statistics for Business and Economics 4.156
Answer for part (a) and (b)
Sample 0, 0 0, 2 0, 4 0, 6 2, 0 2, 2 2, 4 2, 6 4, 0 4, 2 4, 4 4, 6 6, 0 6, 2 6, 4 6, 6
Sample mean 0 1 2 3 1 2 3 4 2 3 4 5 3 4 5 6
c. Each sample has an equal probability to be selected. There are 16 samples. Hence the probability of selecting a sample is
d. Sampling distribution of the sampling mean.
Sample mean 0 1 2 3 4 5 6
P( 1/16 1/8 3/16 1/4 3/16 1/8 1/16
Week 3 Assignments: QNT 561 Week 3 A Decision of Uncertainty Paper Week 3 Dq 1: • In your organization’s management development program, there was a heated discussion between people who claimed that theory is impractical and not effective, and others who claimed that effective theory is the most practical approach to problems. What position would you take and why? Week 3 Dq2: You observe female sales representatives having lower customer defections than male sales representatives. What concepts and constructs would you use to study this phenomenon? How might the concepts or constructs relate to explanatory hypotheses? Explain. QNT 561 Week 3 Practice Problems 3.5 a) = 10 b) = 20 c) = 15504
3.7 a) Let the marbles to be B1, B2, R1, R2 and R3. The sample points are: (B1, B2), (B1, R1), (B1, R2), (B1, R3), (B2, R1), (B2, R2), (B2, R3), (R1, R2), (R1, R3), (R2, R3). b) Each sample point has an equal probability to occur. Since there are 10 sample points, the probability is c)
3.12 Let B be the event that the postal worker was assaulted on the job in the past year.
3.15 a) Let C be the event that slaughtered chicken passes inspection with fecal contamination.
b) According to the given information,
Once it is rounded to two decimal places, the probability of a slaughtered chicken passes inspection with fecal contamination is 0.01. WEEK 4 Assignment:
QNT 561 Week 4 Business Research Methods, Part II Barnes & Noble Research Method Part II Barnes & Noble continues to explore the data collecting process design. The validity of the data is contingent on the appropriate collection method of the sample data. Therefore, the design of the questionnaire is important to consider in this process. The design of the questionnaire will include an appropriate response type such as ranking the results. Ranking the data is one of the general response types to use. The research team will classify the findings in the order of power. These determinations of ranking and order of power will assist the researchers in the development of appropriate questions for the questionnaire.
Week 4 Dq 1: How does technological advancement affect the ability to collect data? Provide examples. Does this advancement increase the chance for errors? Explain. Week 4 Dq2: What is the importance of pretesting questions and instruments? What are risks of not doing this? Provide an example. QNT 561 Week 4 Practice Problems
Week 5 Assignments: QNT 561 Week 5 Weekly Learning Team Reflection LT A Week Five Reflection Paper The objective topics for week five is to conduct one and two sample tests of hypotheses and perform variance and chi-square analysis. We learn about the null hypothesis and the function it takes to complete the hypothesis. In addition, our focus is to complete the math problems while working on our other assignments. QNT 561 Week 5 Practice Problems
Week 5 Ch. 6 of Statistics for Business and Economics 6.2 The test statistic of a test of hypothesis is used to decide whether to reject the null hypothesis in favor of the alternative hypothesis.
6.8 a) Rejection region is shaded in blue color and the size is 0.025
b)
Rejection region is shaded in blue color and the size is 0.05
c)
Rejection region is shaded in blue color and the size is 0.005 QNT 561 Week 5 DQ 1 What is the value of performing hypotheses tests to solve problems related to business and operations management? Provide specific examples. QNT 561 Week 5 DQ 2 What are differences between dependent and independent samples? Provide examples. What are implications for determining the tests used to analyze data? WEEK 6 ASSIGNMENTS QNT 561 Week 6 Business Research Methods, Part III Presentation QNT 561 Week 6 Business Research Methods, Part III Barnes &Noble Business Research MethodsIII Barnes & Noble is a popular book chain. The question to answer by the analysis is there is a reduction in sales of hardcover and paperback books since the release of the electronic reading devicesavailable. Continuing the analysis from the previous weeks, Team A researches Barnes & Noble data collection techniques and performs further analysis. In reviewing the analysis data, the Team is able to explore potential challenges that can come from the validity and reliability of the questionnaire survey. The Team explores steps to overcome these challenges and adding itinto the general response types. Thereafter, the team is able to classify the findings in order of power. QNT 561 Week 6 Practice Problems Chapter 10 and 11 Week 6 Ch. 10 of Statistics for Business and Economics 10.2 a) , Since Therefore the Slope = 1 and y-intercept = 0 b) , Since Therefore the Slope = -1 and y-intercept = 3 c) , Since Therefore the Slope = 0.2 and y-intercept = 1.2 d) , Since Therefore the Slope = 1.125 and y-intercept = 3.75
10.3 Two equations can be written as:
Solving two equations gives us
Therefore the equation of the line is
10.4 a) If the line passes through (1,1) -> , similarly, for (5,5) -> Solving the two equations we have The equation is b) If the line passes through (0,3) -> , similarly, for (3,0) -> Solving the two equations we have The equation is