الرئيسية
حل واجبات الجامعة العربية المفتوحة 2015 الفصل الثاني spring اتصل 0581385537 - 00966581385537
Arab Open University
Tutor Marked Assignment (TMA)
Academic Year 2014 - 2015 Semester: Fall 2014 - 2015
Branch: Program: Business
Course Title: Analyzing Data Course Code: M248
Student Name:
Student ID:
Section Number: Tutor Name:
Total Mark:100 Awarded Mark:
Mark details
Allocated Marks Questions Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Total
Weight 15 20 12 15 10 10 12 6 100
Marks
Allocated Marks Criteria Presentation Referencing Word Count E-Library Total
Marks NA NA NA NA NA
Student’s Total Mark NA
Notes on plagiarism:
A. According to the Arab Open University By-laws, “the following acts represent cases of cheating and
Plagiarism:
Verbatim copying of printed material and submitting them as part of TMAs without proper academic acknowledgement and documentation.
Verbatim copying of material from the Internet, including tables and graphics.
Copying other students’ notes or reports.
Using paid or unpaid material prepared for the student by individuals or firms.
B. Penalties for plagiarism ranges from failure in the TMA to expulsion from the university.
Declaration: I hereby declare that the submitted TMA is my own work and I have not copied any other person’s work or plagiarized in any other form as specified above.
Student Signature
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Tutor’s Feedback
Tutor Name: Tutor Signature: Date returned:
INSTRUCTIONS: The TMA consists of eight questions and it worth 20% of the total grade assigned to the course. It will be graded out of 100 marks divided amongst the seven questions. In your answers, please be sure to show all your calculations and to submit copies of your output when asked to use MINITAB.
Question1: (15 points)
The table below shows the distribution of the number of cell phones owned by 210 households of five or more people with a minimum age of nine.
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# of Households Number of Cell Phones
10 0
20 1
30 2
60 3
40 4
40 5
10 6
a) What chart is best used to display the above data? Justify your answer.
b) Use MINITAB to construct a chart that best displays the above data?
c) What is the percentage of households who has 3 phones?
d) What is the percentage of households who has at least 4 phones?
Question 2: (20 points)
A small company has 11 employees. The numbers of years these employees have worked for this company are shown as follows:
4 14 3 16 18 9 8 16 5 7 21
a) Calculate the mean and median number of years. What can you say about the skewness of the data set? Justify your answer.
b) Would any of these years be considered an outlier? Justify your answer.
c) Determine the sample standard deviation.
d) Use MINITAB to draw a boxplot for the above data set.
e) Using the boxplot, comment on skewness. Justify your answer
Question 3: (12 points)
A plumber loads his truck each morning with faucets that will be needed for the service calls and other emergency calls that come in that day. Based on past experience, the number of faucets required each day (N) has the following distribution: p(0) =0.05; p(1) = 0.25;
p(2) = 0.5; p(3) = 0.15; p(4) = 0.05.
a) Construct a probability distribution table
b) What is the expected number of faucets required per day?
c) What is the standard deviation of number of faucets required per day?
d) Each faucet requires 25 minutes to install. What is the expected number of minutes the plumber will spend each day installing faucets?
Question 4: (15 points)
The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. Assuming the weights of catfish are normally distributed.
a) What is the probability that a randomly selected catfish will weigh between 3 and 5 pounds?
b) A citation catfish should be one of the top 2% in weight. At what weight (in pounds) should the citation designation be established?
c) If 16 catfishes are randomly selected, what is the probability of the sample mean of weight to exceed 3.5 pounds?
Question 5: (10 points)
Of 129 adults selected randomly from one town, 31 of them smoke. Construct a 99% confidence interval for the percentage of all adults in the town that smoke and interpret the computed interval.
Question 6: (10 points)
A sociologist develops a test to measure attitudes about public transportation, and 27 randomly selected citizens are given the test. Their mean score is 76.2 and their standard deviation is 21.4. Construct the 95% confidence interval for the mean score of all such citizens and interpret your results.
Question 7: (12 points)
A survey of randomly chosen adults found that 36 of the 87 men and 27 of the 86 women follow regular exercise programs. Construct a 95% confidence interval for the difference in the proportions of women and men who have regular exercise programs
.
Question 8: (6 points)
One of the major oil products companies conducted a study recently to estimate the mean gallons of gasoline purchased by customers per visit to a gasoline station. To do this, a random sample of customers was selected with the following data being recorded that show the gallons of gasoline purchased.
8.7 22.4 9.5 13.3 18.9
22 14.4 35.7 19 24.9
5.7 15.7 8.9 22.5 15.9
Based on these sample data, use Minitab to construct the 95 percent confidence interval estimate for the population mean.
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