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### Question Description

A firm uses trend projection and seasonal factors to simulate sales for a given time period. It assigns "0" if sales fall, "1" if sales are steady, "2" if sales rise moderately, and "3" if sales rise a lot. The simulator generates the following output.

0 1 1 2 2 0 1 1 2 3 2 1 2 1 2 2 1 2 3 1 2 2 2 0 3 1 0 2 1 2 1

Estimate the probability that sales will rise at least moderately.

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## Explanation & Answer

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There are 31 simulated sales in the sample and 16 have a value of 2 or 3.

16/31 = 0.516

The answer is 0.516

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Assignment 05
MA260 Statistical Analysis I
Directions: Be sure to save an electronic copy of
your answer before submitting it to Ashworth College for grading. 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?

Assignment 1: Bottling Company Case Study

Assignment 1: Bottling Company Case Study

Assignment 1:
Bottling Company Case Study
Due Week 10 and
worth 140 points
Imagine you are a manager at a major
bottling company. Customers have begun to complain that the bottles of the brand
of soda produced in your company contain less than the advertised sixteen (16)
ounces of product. Your boss wants to solve the problem at hand and has asked
you to investigate. You have your employees pull thirty (30) bottles off the
line at random from all the shifts at the bottling plant. You ask your employees
to measure the amount of soda there is in each bottle. Note: Use the data set
provided by your instructor to complete this assignment.
Bottle
Number
Ounces
Bottle
Number
Ounces
Bottle
Number
Ounces
1
14.5
11
15
21
14.1
2
14.6
12
15.1
22
14.2
3
14.7
13
15
23
14
4
14.8
14
14.4
24
14.9
5
14.9
15
15.8
25
14.7
6
15.3
16
14
26
14.5
7
14.9
17
16
27
14.6
8
15.5
18
16.1
28
14.8
9
14.8
19
15.8
29
14.8
10
15.2
20
14.5
30
14.6
Write a two
to three (2-3) page report in which you:
Calculate the mean, median, and standard deviation
for ounces in the bottles.
Construct a 95% Confidence Interval for the ounces
in the bottles.
Conduct a hypothesis test to verify if the claim
that a bottle contains less than sixteen (16) ounces is supported. Clearly state
the logic of your test, the calculations, and the conclusion of your
test.
Provide the following discussion based on the
conclusion of your test:
a.
If you conclude that there are less than sixteen (16) ounces in a bottle of
soda, speculate on three (3) possible causes. Next, suggest the strategies to
avoid the deficit in the future.
Or
b.
If you conclude that the claim of less soda per bottle is not supported or
justified, provide a detailed explanation to your boss about the situation.
Include your speculation on the reason(s) behind the claim, and recommend one
(1) strategy geared toward mitigating this issue in the future.
Your assignment must
follow these formatting requirements:
Be typed, double spaced, using Times New Roman font
(size 12), with one-inch margins on all sides. No citations and references are
required, but if you use them, they must follow APA format. Check with your
professor for any additional instructions.
Include a cover page containing the title of the
assignment, the student’s name, the professor’s name, the course title, and the
date. The cover page and the reference page are not included in the required
assignment page length.
The specific course
learning outcomes associated with this assignment are:
Calculate measurements of central tendency and
dispersal.
Determine confidence intervals for data.
Describe the vocabulary and principles of hypothesis
testing.
Discuss application of course content to professional
contexts.
Use technological tools to solve problems in
statistics.
Write clearly and concisely about statistics using
proper writing mechanics.

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