Statistics Assignment (,)   DIPLOMA IN BUSINESS PROGRAMME (DIB) STA 1101 Quantitative Methods Group Assignment: ONLY TWO (2) or THREE (3) students in one…

Statistics Assignment ([email protected])

 

DIPLOMA IN BUSINESS PROGRAMME (DIB)

STA 1101 Quantitative Methods

Group Assignment: ONLY TWO (2) or THREE (3) students in one group

This assignment provides 20% to your coursework marks. DO not plagiarize as this assignment will help you understand the theory and concept of statistics. Assignment could be done with typed using the computer (Times New Roman, font size 12, 1.5 spacing) and must have a front cover with all the team members name, matriculation id and signature. Besides that, must include the declaration by group leader.

Assignment must be handed up by week 12to Mr. Josh Si during the class. Hand up late will be penalized. Date of submission:

Section	Date of submission	Time
DB 5	12/11/2015, Thursday	9am-10am
DB 6	13/11/2015, Friday	10am-11am
DB 10	12/11/2015, Thursday	10am-11am
DB 11	13/11/2015, Friday	4pm-5pm

 

 

 

 

You must abide by the rules plagiarism.

Plagiarism is presenting somebody else’s work as your own. It includes: copying information directly from the Web or books without referencing the material; submitting joint coursework as an individual effort; copying another student’s coursework; stealing coursework from another student and submitting it as your own. Suspected plagiarism will be investigated and if found to have occurred will be dealt with according to the procedures set down by the university/college.

Note: Plagiarism is strictly prohibited. Any student found to have plagiarized their assignment will result in an automatic deduction of marks.  

Kindly Copy and paste the following declaration agreement in your assignment.

Declaration by Group Leader:

I, _________________, hereby declare that the attached assignment is our own work and understand that if we are suspected of plagiarism or another form of cheating, my work will be referred to the Programme Officer/HOP who may, as a result recommend to the Examinations Board that our enrolment in the programme be discontinued.

 

______________________Signature by Group leader

Question 1

Two orchards that produce durians approached you as you want to buy a durian orchard. Below are the data of their durians on their trees. Which orchard will you buy? Argue and give your reasons based on statistical results and formula.

ORCHARD A
Durian on tree	Number of Trees
0-4	2
5-9	5
10-14	12
15-19	20
20-24	13
25-29	6
30-34	3

ORCHARD B
Durian on tree	Number of Trees
0-4	5
5-9	10
10-14	11
15-19	13
20-24	14
25-29	4
30-34	2

 

Question 2

A manufacturing company regularly conducts quality control checks at specified periods on the products it manufactures. Historically, the failure rate for LED light bulbs that the company manufactures is 5%. Suppose a random sample of 10 LED light bulbs is selected. What is the probability that

a) None of the LED light bulbs are defective?

b) Exactly one of the LED light bulbs is defective?

c) Two or fewer of the LED light bulbs are defective?

d) Three or more of the LED light bulbs are not defective?

 

 

 

Question 3

A researcher wants to know if the mean Body Mass Index (BMI) among a group of college students differs from 22. He took a random sample of 20 students and obtained their BMI:

22	21	21	22	26	24	20	24	24	27
36	28	20	25	22	19	24	26	22	21

 

 

 

 

 

Question 4

The monthly income (in RM‘000) for husband and wife in 12 households

Household	1	2	3	4	5	6	7	8	9	10	11	12
Husband	2.5	4.7	3.5	7.6	10.6	4.7	5.6	12.7	15.6	4.5	5.5	12.5
Wife	2.6	4.0	4.0	7.9	5.8	1.6	6.0	3.0	15.8	4.5	6.5	8.5

 

For the question above

a)      Describe the two sets of measurements. (Such as: Mean and Standard deviation of the data).

a)      Test if there is a significant difference between the two set of measurements.

b)      Obtain a 95% confidence interval for the difference and interpret what it means.