Statistical Analysis Assign 5

Assignment 05

MA260 Statistical Analysis I

Directions: Unless otherwise stated, answer in complete sentences, and be sure to use correct English, spelling, and grammar. Refer to the “Assignment Format” page located on the Course Home page for specific format requirements.

NOTE: Show your work in the problems.

1. Compute the mean and variance of the following discrete

probability

distribution.

x

P(x)

2

.50

8

.30

10

.20

2. The Computer Systems Department has eight faculty, six of whom are tenured. Dr. Vonder, the chair, wants to establish a committee of three department faculty members to review the curriculum. If she selects the committee at random:

a. What is the probability all members of the committee are tenured?

b. What is the probability that at least one member is not tenured? (Hint: For this question, use the complement rule).

3. New Process, Inc., a large mail-order supplier of women’s fashions, advertises same-day service on every order. Recently, the movement of orders has not gone as planned, and there were a large number of complaints. Bud Owens, director of customer service, has completely redone the method of order handling. The goal is to have fewer than five unfilled orders on hand at the end of 95% of the working days. Frequent checks of the unfilled orders follow a Poisson distribution with a mean of two orders. A Poisson distribution is a discrete frequency distribution.

Has New Process, Inc. lived up to its internal goal? Cite

evidence.

4. Recent information published by the U.S. Environmental Protection Agency indicates that Honda is the manufacturer of four of the top nine vehicles in terms of fuel economy.

a. Determine the probability distribution for the number of Hondas in a sample of three cars chosen from the top nine.

b. What is the likelihood that in the sample of three at least one Honda is included?

Grading Rubric

Please refer to the rubric below for the grading criteria for this assignment.

CATEGORYExemplarySatisfactoryUnsatisfactoryUnacceptable

15 points11 points7 points3 points

The student

provides

a clear

and logical table to organize

data and accurately includes

the

equations and

the

correct

answers for the mean and

the

variance.

The student provides an

adequate table to organize

data and accurately includes
the equations and the

correct answer for either

the mean or the variance.

The student does not

provide a clear and logical

table to organize data and

accurately includes the

equations and may have

only one correct answer for

the mean or the variance.
The student does not
provide a clear and logical
table to organize data and

has only 1 accurate

equation and one correct

answer for the mean or the

variance.

20 points15 points10 points5 points

The student provides correct

equations and answers for

both parts of the question.

The student provides correct

equations and only one

correct answer to the

questions.

The student provides

correct equations and no

correct answers to the

questions.

The student provides one

correct equation and

no

correct answers to the
questions.
20 points15 points10 points5 points

The student provides the

correct equation and answer

for the question and

provides supporting

evidence.
The student provides correct

equation and answer for the

question but does not

provide supporting

evidence.
The student provides the
correct equation and

incorrect answer for the

question but does not
provide supporting
evidence.
The student provides the
correct equation and
incorrect answer for the

question and does not

provide supporting
evidence.
20 points15 points10 points5 points
The student provides correct
equations and answers for
both parts of the question.
The student provides correct
equations and only one
correct answer to the
questions.
The student provides
correct equations and no
correct answers to the
questions.
The student provides one

correct equation and no

correct answers to the
questions.

10 points 8 points 5 points 2 points

Student makes no errors in

grammar or spelling that

distract the reader from the

content.

Student makes 1-2 errors in

grammar or spelling that
distract the reader from the
content.

Student makes 3-4 errors in

grammar or spelling that
distract the reader from the
content.

Student makes more than

4 errors in grammar or

spelling that distract the

reader from the content.

15 points 12 points 8 points 5 points

The paper is written in

proper format. All sources

used

for quotes and facts are

credible and cited correctly.

Excellent organization,

including a variety of

thoughtful

transitions.

The paper is written in

proper format with only 1-2

errors. All sources used for

quotes and facts are credible

and most are cited correctly.

Adequate organization

includes a variety of

appropriate transitions.

The paper is written in

proper format with only 3-5

errors. Most sources used

for quotes and facts are
credible and cited correctly.

Essay is poorly organized,

but may include a few

effective transitions.

The paper is not written in

proper format. Many

sources used for quotes

and facts are less than

credible (suspect) and/or

are not cited correctly.

Essay is disorganized and

does not include effective

transitions.

Format – APA

Format, Citations,

Organization,

Transitions (15

Points)

Mechanics –

Grammar,

Punctuation,

Spelling (10 Points)

The student creates

a table organizing

the data and

performs the

computations for

the mean and the

variance in #1.

The student
performs the

calculations and

answer to question

#3. Evidence is

included (i.e.

explanation/answer

to question)

The student

completes the

equations and

computations for #4

Parts a

and b.

The student
performs the

calculations on the

probability

questions #2 Parts a

and b.