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Faculty of Business Studies

BUS102

Introduction to Statistics

Final Examination – THE – Version A

2020-2021 /Second Semester/Spring 2021

Number of Exam Pages: 10

(including this cover sheet(

Time Allowed: 48 hours

Grades

Question

Number

Question 1

Question 2

Question 3

Question 4

Question 5

Total in Figures

Total in Letters

Total grade allocated

for this question

20

15

25

20

20

100

Student’s

earned grade

Marker Name and Signature

Instructions

1. This examination consists of Five questions. You are required to answer all questions.

2. Keep in mind that any form of cheating will not be tolerated and will subject you to AOU

cheating policy.

3. Show all calculations in your answers

BUS102/ THE-Final – Ver A

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Take Home Exam for Final Assignment 2020-2021/Second

BUS102 – An Introduction to Statistics

Cut-Off Date : 5th June 2021

Cut off Time: 10:05 AM

Total Marks

Duration: 48 Hours

: 100

Contents:

Warnings and Declaration……………………………………….………………………………………………………………. 2

Question1 ……….…………………………………………………………………………………………….…………………….…. 3

Question 2 ……………………………………………………………………………………………………………….………………4

Question3 …………………………………………………………………………………………………………………………………5

Question 4 ………….…………………………………………………………………………………………………………….……….6

Question 5………………………………………………………………………………………………………………………………….7

Table Values……………………………………………………………………………………………………………………………8 – 13

Plagiarism Warning:

As per AOU rules and regulations, all students are required to submit their own THE-Final work and avoid plagiarism.

The AOU has implemented sophisticated techniques for plagiarism detection. You will be penalized for any act of

plagiarism as per the AOU’s rules and regulations.

Declaration of No Plagiarism by Student (to be signed and submitted by student with THE-Final work):

I hereby declare that this submitted THE-Final work is a result of my own efforts and I have not plagiarized

any other person’s work.

Name of Student: ————————————————————————Student ID No.—————————————————————————Signature: …………………………..…………………………………………………………………..

Section No. ———————————————————————————–Date:………………………………………………………………………………………………….…………

BUS102/ THE-Final – Ver A

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Question 1: (20 points)

(A) The number of laptops sold daily at a local electronics shop has the following probability

distribution.

(10 marks)

X: # of laptops sold

P(X=x)

12

0.4

13

0.3

14

0.2

15

0.1

a) What is the mean of the number of laptops sold on a given day?

b) What is the variance of the number of laptops sold on a given day?

(B) Internet service providers (ISP) need to resolve customer problems as quickly as possible. The

probability for a customer call regarding Internet service interruption is resolved within one hour

is 70%. During one day, the company had 10 customer calls.

(10 marks)

a) What is the probability that exactly four of the customers had their problems solved?

(Round your answer to the nearest thousandth).

b) What is the mean of the number of calls who had their problems solved?

c) What is the variance of the number of calls who had their problems solved?

(10 + 10 = 20 marks)

BUS102/ THE-Final – Ver A

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Question 2: (15 points)

Suppose a researcher goes to a small college of 200 faculty, 12 of which have blood type Onegative. He obtains a simple random sample of n = 20 of the faculty. Let the random variable X

represent the number of faculty in the sample of size that have blood type O-negative.

(a) What is the probability that 3 of the faculty have blood type O-negative? (Round your answer

to the nearest thousandth).

(10 marks)

(b) What is the probability that a none (x = 0) of the faculty has blood type O-negative? (Round

your answer to the nearest thousandth).

(5 marks)

(10 + 5 = 15 marks)

BUS102/ THE-Final – Ver A

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Question 3: (25 points)

(A) The replacement times for DVD players are normally distributed with a mean of 7.1 years

and a standard deviation of 1.5 years (data from Consumer Reports). What is the probability

that a randomly selected DVD player will be replaced in less than 5 years? (12 marks)

(B) In a city, it is estimated that the maximum temperature in June is normally distributed with a

mean of 23º and a standard deviation of 5°. Calculate the probability of having a maximum

temperature between 20° and 28°

(13 marks)

(12 + 13 = 25 marks)

BUS102/ THE-Final – Ver A

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Question 4: (20 points)

(A) Suppose the average height of men football players follows a normal distribution with a

mean of 175 cm and a standard deviation of 20 cm. If a sample of 10 players is selected at

random, what is the probability that the sample mean is above 185 cm?

(B) A machine fills small boxes with cereal. The amount deposited into the box is normally

distributed with a mean of 24.8 ounces and a standard deviation of 0.20 ounces. If a sample of 9

boxes is chosen at random, what is the probability that the sample mean is between 24.9 and 25

ounces?

(10 + 10 = 20 marks)

BUS102/ THE-Final – Ver A

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Question 5 (20 points)

(A) In a sample of 12 men the quantity of hemoglobin in the blood stream had a mean of 15 g/dl

and a standard deviation of 3 g/dl. Find the 99% confidence interval for the population mean

blood hemoglobin. (Round your final answers to the nearest hundredth)

(B) A financial officer for a company wants to estimate the percent of accounts receivable that

are overdue. He surveys 500 accounts and finds that 350 are overdue. Find a 95% confidence

interval for the proportion of all accounts receivable that are overdue. (Round your final answers

to the nearest hundredth)

(C) Interpret the results (the intervals) you got in both the scenario given above (A and B)

(10 + 6 + 4 = 20 marks)

End of Exam Questions

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KEY FORMULAS

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Areas under the standard normal curve

BUS102

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Student’s t distribution

BUS102

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