BCO 127 Applied Management Statistics Assignment
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BCO 127 Applied Management Statistics Assignment
Assignment: The assignment is worth 40% of your marks for this subject.
Deadline and submission: Your assignment must be submitted via Turnitin on Moodle before 23:59 on Sunday 10th May 2020.
Word count: Your work is individual and should be uploaded in Moodle using Turnitin. Avoid any “copy- paste” practice to prevent possible problems of plagiarism.
Title: Built on the acquired theoretical and practical knowledge of the second part of the semester you are required to solve the following problems:
You must provide an explanation of your results in all your answers.
1) (15%) For Applied Management Statistics class you want to know how college students feel
about the transportation system in Barcelona.
- a) What is the population in this study? b) What type of sample would you use and why?
2) (25%) A manager of an e-commerce company would like to determine average delivery time of the products. A sample of 25 customers is taken. “The average delivery time in the sample was four days. Suppose the delivery times are normally distributed with a standard deviation of 1.2 days.” BCO 127 Applied Management Statistics Assignment
- a) Provide a 95 % confidence interval for the mean delivery time. b) The manager claims that the average delivery time of their products does not exceed 3 days.
Write the null and alternative hypothesis regarding to the claim of the manager. c) Test the manager’s claim at 95 % confidence level. d) Write the conclusion of your result
3) (15%) For an effective parental skill study, a researcher asked: How many hours do your kids
watch the television during a typical week in Barcelona? The mean of 100 Kids (ages 6-11) spend about 28 hours a week in front of the TV. Suppose the study follows a normal distribution with standard deviation 5. a) Estimate the mean of all kids (ages 6-11) in Barcelona, using 99% confidence interval.
(show all the calculations) b) Write the conclusion of your result
4) (25%) A regression analysis has been conducted between the annual income (in 1000 euros) and the work experience (in years) of people with 0.05 significance level. The results are summarized below. a) Define the independent and dependent variables. What can you say about the correlation
between them.
- b) Interpret R Square. c) Write the regression model and interpret the coefficients. d) Estimate the average annual income of a person who has 15 years of work experience.
Summary Table 1. Regression Statistics Multiple R 0,93 R Square 0,86 Adjusted R Square 0,82 Standard Error 2,11 Observations 6
Table 2.
df SS MS F Significance F Regression 1 107,603 107,603 24,276 0,008 Residual 4 17,730 4,432 Total 5 125,333
Table 3.
Coefficients Standard Error t stat p value Lower 95% Upper 95% Intercept 17,351 3,160 5,491 0,005 8,577 26,124 Variable X 1 1,362 0,276 4,927 0,008 0,595 2,130
5) (20%) In order to analyze the performance of smart phones, the characteristics of 293 smart
phone models have been recorded. Assume that for the initial analysis we would like to work with a sample of 10 observations. Choose a sample consisting 10 different smart phones by simple random sampling considering the table of random numbers given in the Appendix. You can begin from any row or column. Write your explanations for each step of choice and give a list of the sampled smart phone models. BCO 127 Applied Management Statistics Assignment
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