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.

Statistics Assignment 
 
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  
 

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