BUS 102 Arab Open University Business Administration Exam Questions

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BUS 102

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Arab Open University AOU Modules TAKE HOME EXAM (THE) Academic Year 2019-2020 Semester: Second Branch: Program: Business Administration/All Tracks Course Title: Introduction to Statistics Course Code: BUS102 Student Name: Student ID: Section Number: Tutor Name: Questions Allocated Marks Weight Q1 9 Section 1 Q2 Q3 Q4 15 12 6 Q5 6 Q6 9 Q7 6 Section 2 Q8 Q9 Q10 8 15 10 Q11 4 Total of 100% Mark Allocated Marks Criteria Deductions Marks Presentation (including PT3 form) (up to 5 marks deduction) Referencing (up to 2 marks deduction) Word Count (up to 2 marks deduction) E-library (up to 1 marks deduction) NA NA NA Total (up to 10 marks deduction) Plagiarism Deduction Total Mark Notes on plagiarism: 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 THEs 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 THE to expulsion from the university. A. Declaration: I hereby declare that the submitted THE 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 Tutor’s Feedback Tutor Name: BUS102 Tutor Signature: Date returned: 1/10 2019-2020/Second SECTION 1: Read carefully each question, solve the question and then choose the correct answer: Question 1 (Chapter 2): (9 = 3x3 points) Consider below a graph of the monthly sales of a Company A. Sales of Company A $140,000 $120,000 $120,000 $100,000 $100,000 $90,000 $80,000 $80,000 $65,000 $60,000 $40,000 $20,000 $0 January February March April May A. What is the type of the graph used? a) Pie Chart b) Histogram c) Bargraph d) Boxplot Ans: B. What month has the highest sales? a) January b) February c) March d) April Ans: C. What is the percentage of decrease between the months of February and March? a) 20% b) 25% c) 30% d) None Ans: Question 2 (Chapter 3): (15 = 5x3 points) A special aptitude test is given to job applicants. The data shown here represent the scores of 10 applicants (n=10). 200 208 BUS102 210 218 218 218 2/10 220 225 230 233 2019-2020/Second A. What is the Sample Mean (Arithmetic Mean: X bar)? a) 218 b) 217 c) 219 d) None Ans: B. What is the Median? a) 219 b) 218.5 c) 218 d) None Ans: C. What is the Mode? a) 219 b) 220 c) 218 d) None Ans: D. Based on the values of the arithmetic mean, median, and mode, what is the most likely shape of the distribution? a) Negatively Skewed b) Symmetrical c) Positively Skewed d) None Ans: E. Find the Sample Variance. (Round your answer to the nearest hundredth) X 200 208 210 218 218 218 220 225 230 233 Total X−X ( X − X )2 a) S 2 =  b) S 2 ( X − X )2 n −1 (X − X ) = c) S 2 =  2 n −1 ( X − X )2 n −1 = 910 = 101.11 = 123.16 d) None Ans: BUS102 3/10 2019-2020/Second Question 3 (Chapter 3): (12 = 4x3 points) Consider below the boxplot for a sample of the time (in minutes) it takes a taxi-driver to take a trip from airport to downtown. A. Median a) 20 b) 19 c) 21 d) None Ans: B. Lower Quartile a) 16 b) 16.5 c) 23.5 d) None Ans: C. Upper Quartile a) 23.5 b) 16.5 c) 24 d) None Ans: D. Minimum a) Min = 15 b) Min = 10 c) Min = 14 d) None Ans: BUS102 4/10 2019-2020/Second Question 4 (Chapter 4): (6= 2x3 points) Listed below are the amounts of money collected for charity in 20 days: $80 $110 $50 $50 $120 $110 $140 $150 $160 $100 $90 $70 $60 $70 $90 $80 $40 $45 $165 $170 A. What is the third quartile for the distribution of amounts of money? a) Q3 = 15.75 b) Q3 = $135 c) Q3 = $120 d) None Ans: B. What is the first quartile for the distribution of amounts of money? a) Q1 = $62.50 b) Q1 = $60 c) Q1 = 5.25 d) None Ans: Question 5 (Chapter 3): (6 = 2x3 points) Consider a sample of 21 college students. The students’ weights are grouped in the following frequency distribution table: Class 40 Kg up to 50 Kg 50 Kg up to 60 Kg 60 Kg up to 70 Kg 70 Kg up to 80 Kg 80 Kg up to 90 Kg Total Frequency (f) 4 1 9 5 2 21 Class Midpoint (M) 45 55 65 75 85 f.M M-X (M-X) 2 f.(M-X) 2 180 55 585 375 170 1365 -20 -10 0 10 20 400 100 0 100 400 1600 100 0 500 800 3000 A. Find the sample mean of the weights. a) 63 Kg b) 64 Kg c) 65 Kg d) None Ans: B. Find the sample variance of the weights. (Round your answer to the nearest hundredth) a) 140 b) 150 BUS102 5/10 2019-2020/Second c) 160 d) None Ans: SECTION 2: Read carefully each question, solve the question and WRITE your answers under each question (Show your work) Question 6 (Chapter 2): (9 = 3x3 points) In a survey aiming to study the average number of TVs per household (family), the following data was collected. Number of TVs: X 0 1 2 3 4 Total Number of families: Frequency 3 18 27 42 60 150 Relative Frequency A. Find the relative frequency for each value of X. Ans: B. How many families own at least 3 TVs? Ans: C. What is the percentage of families having no TVs? Ans: Question 7 (Chapter 3): (6 points) Consider below the average hourly rate for different types of workers in a company A Type of Workers Manual Workers Administrative Workers Management and Professional Average Hourly Rate Number of Employees $25.15 150 $19.80 45 $37.60 10 What is the weighted mean of Hourly Rate in company A? (Round your answer to the nearest hundredth) Ans: BUS102 6/10 2019-2020/Second Question 8 (Chapter 4): (8 = 2x4 points) A sample of smokers were asked how much money they spend on cigarettes per day, the collected data revealed a mean of $10.28, a median of $12.54 and a sample standard deviation of $2.55. A. What is the Pearson's coefficient of skewness? (Round your answer to the nearest hundredth) Ans: B. Describe the skewness of the distribution based on the computed coefficient. Ans: Question 9 (Chapter 5): (15 = 5x3 points) A sample of adults and teenagers were asked about the type of movies they like best. The collected data is grouped in the below table: Teenagers Adults Comedy 40 30 Action 60 80 70 140 Total Science Fiction 50 60 110 Total 150 170 320 A. If a person is selected at random, what is the probability that he is a teenager? Ans: B. If a person is selected at random, what is the probability that he is an adult who likes Science fiction movies? Ans: C. If a person is selected at random, what is the probably that he likes Comedy movies GIVEN he is a teenager? Ans: BUS102 7/10 2019-2020/Second D. If a person is selected at random, what is the probably that he is an adult GIVEN he likes Action movies? Ans: E. If a person is selected at random, what is the probably that he likes Action movies or he is a teenager? Ans: Question 10 (Chapter 5): (10 = 2x5 points) In a survey of 500 companies it was found that 250 had copiers and 300 had fax machines. It was also determined that 100 companies had both copiers and fax machines. A. If a company is selected at random, what is the probability that the company had either a copier or a fax machine? Ans: B. If a company is selected at random, what is the probability that the company had neither a copier nor a fax machine? (Hint: Complement Event) Ans: BUS102 8/10 2019-2020/Second Question 11 (Chapter 5): (4 points) If two dice are rolled, what is the probability of having a sum of 3? Ans: End of Questions BUS102 9/10 2019-2020/Second KEY FORMULAS BUS102 10/10 2019-2020/Second
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Explanation & Answer

Attached.

Arab Open University
AOU Modules
TAKE HOME EXAM (THE)

Academic Year 2019-2020

Semester: Second

Branch:

Program: Business Administration/All Tracks

Course Title: Introduction to Statistics

Course Code: BUS102

Student Name:

Student ID:

Section Number:

Tutor Name:

Questions
Allocated
Marks

Weight

Q1
9

Section 1
Q2 Q3 Q4
15
12
6

Q5
6

Q6
9

Q7
6

Section 2
Q8 Q9 Q10
8
15
10

Q11
4

Total of
100%

Mark

Allocated
Marks

Criteria

Deductions

Marks

Presentation
(including PT3 form)
(up to 5 marks
deduction)

Referencing
(up to 2 marks
deduction)

Word Count
(up to 2 marks
deduction)

E-library
(up to 1
marks
deduction)

NA

NA

NA

Total
(up to 10
marks
deduction)

Plagiarism
Deduction
Total Mark
Notes on plagiarism:
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 THEs 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 THE to expulsion from the university.
A.

Declaration: I hereby declare that the submitted THE 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

Tutor’s Feedback

Tutor Name:

BUS102

Tutor Signature:

Date returned:

1/10

2019-2020/Second

SECTION 1: Read carefully each question, solve ...


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