Question

**Weeks 1 and 2 Objective:**

**Apply elementary mathematical concepts and quantitative
methods in business decision making under certainty.**

For the applied assignment, please submit a 5-6 slide PPT (NOT including title page and references page) that includes the following parts:

**PART 1: Create a context:** Introduce a
real-world business situation or an imagined business scenario that
may benefit from the "math" presented in the prior two weeks (Weeks
1 and 2 - see the objective stated in bold above). While creating
the context, ask yourself: What business use cases may benefit from
the quantitative methods offered last week and this week? Pick one.
You can use Google or other search tools, or your own workplace
experience, to create the context. Once you decide on the context,
describe it clearly in your PPT presentation. Be sure to deliver
all relevant information for the audience (in this case your
instructor) to help him/her understand the context fully.

**Part 2: Show with examples**
* how* the "math" or quantitative
methodology introduced in the prior two weeks relate to the
business use case you introduced. (e.g., does the math/methodology
help to resolve a business problem?) Be specific in your
description of how you can use the quantitative information in
connection with the business case (your context) you described.
Give examples. Use technical terminology when necessary.

**Part 3:** **Reflect on your**
learning by answering these questions: What changes have you
observed in your own learning or knowledge of
math/quantitative methods as a result of the topics introduced in
Weeks 1 and 2 of this course? What did you find most valuable or
useful for your MBA education and/or your current/future career.
(As you articulate your thoughts for Part 3, be original: Do not
repeat the business context or situation you described in Parts 1
and 2. Think beyond that context).

- Evaluate the following two expressions:

- (-4)(5)(-1)
- (4 –x)(x -1) if x = 2

- find the values for:

- -4 + 6 -5

- (4
^{2})^{3}

- Expand the following expressions:

- (2x +5y -2)(3x -2y + 2)
- (4z – 3)( 2z – 3y + 1)

- Solve the following equations:

- 2z – 4 = 2
- 4x – 1 = 3

- 2x – 3y = 1 (1)

4x + y = 9 (2)

- 4x - y = 1 (1)

x – y = 0.5 (2)

- Solve the following quadratic equations:

Answer #1

An industrial engineer is investigating the effect of four
assembly methods (1, 2, 3, 4) on the assembly time for a
color television component. Four operators are selected for the
study. To account for the operator source of variability, the
engineer uses the Randomized Complete Block Design shown below.
Analyze the data from this experiment ( = 0.05) draw appropriate
conclusions.
Assembly
Operator
Method
A
B
C
D
1
5
10
7
8
2
7
10
12
8
3
12...

Quantitative Business Analysis
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giving that person life to help the human race (e.g. it is likely
that Mother Teresa's strongest gift was mercy, second strongest,
administration, etc.).
The theory is that if you are doing the things God intended you
to do, you will not only feel a sense of fulfillment, you will
likely be effective at it,...

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A simple connected graph with 7 vertices has 3 vertices of
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Use two of the following sets for each part below. Let X = {a,
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In the book Business Research Methods, Donald R. Cooper
and C. William Emory (1995) discuss a manager who wishes to compare
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authors describe the situation as follows:
The company selects 22 sales trainees who are randomly divided into
two equal experimental groups—one receives type A and the
other type B training. The salespeople are then assigned
and managed without regard to the training they have received. At
the year’s end,...

1. The breaking strengths (measured in dynes) of nylon fibers
are normally distributed with a
mean of 12,500 and a variance of 202,500.
a) What is the probability that a fiber strength is more than
13,175?
b) What is the probability that a fiber strength is less than
11,600?
c) What is the probability that a fiber strength is between 12,284
and 15,200?
d) What is the 90 th percentile of the fiber breaking strength?
2.
Suppose that X, Y...

the book Business Research Methods, Donald R. Cooper
and C. William Emory (1995) discuss a manager who wishes to compare
the effectiveness of two methods for training new salespeople. The
authors describe the situation as follows:
The company selects 22 sales trainees who are randomly divided
into two equal experimental groups—one receives type A and the
other type B training. The salespeople are then assigned
and managed without regard to the training they have received. At
the year’s end, the...

1. Given the following observations of quantitative variables
X and Y:
x= 0, 1, 2, 3, 15
y= 3, 4, 6, 10, 0
a. Make a scatterplot of the data on the axes. Circle the most
influential observation. (4 points)
(b) Determine the LSRL of Y on X. Draw
this line carefully on your scatterplot. (4 points)
(c) What is the definition of a regression outlier? (4
points)
(d) Which data point is the biggest regression outlier?
(4 points)...

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hyperbolic trig functions cosh(x) and sinh(x) instead of ex and
e−x. (3) Write the functions alphabetically, so that if the
solutions involve cos and sin, your answer would be
Acos(x)+Bsin(x). (4) For polynomials use arbitrary constants in
alphabetical order starting with highest power of x, for example,
Ax2+Bx. (5) Write differential equations with leading term
positive, so X′′−2X=0 rather than −X′′+2X=0. (6) Finally you need
to simplify arbitrary constants. For...

Important Instructions: (1) λ is typed as lambda. (2) Use
hyperbolic trig functions cosh(x) and sinh(x) instead of ex and
e−x. (3) Write the functions alphabetically, so that if the
solutions involve cos and sin, your answer would be
Acos(x)+Bsin(x). (4) For polynomials use arbitrary constants in
alphabetical order starting with highest power of x, for example,
Ax2+Bx. (5) Write differential equations with leading term
positive, so X′′−2X=0 rather than −X′′+2X=0. (6) Finally you need
to simplify arbitrary constants. For...

In the book Business Research Methods, Donald R. Cooper and C.
William Emory (1995) discuss a manager who wishes to compare the
effectiveness of two methods for training new salespeople. The
authors describe the situation as follows: The company selects 22
sales trainees who are randomly divided into two equal experimental
groups—one receives type A and the other type B training. The
salespeople are then assigned and managed without regard to the
training they have received. At the year’s end,...

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