Investigate on Customer’s Complain then Make a Report Out of Your Investigation

MAT 300 Bottling Company Case Study.docx Bottling Company Case Study

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   Ounces   Bottle
  Ounces
  Bottle   Ounces

Number    Number    Number

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     5.2     20
    14.5    30
    14.6

Write a two to three (2-3) page report in which you:

1. Calculate the mean, median, and standard deviation for ounces in the
bottles.

2. Construct a 95% Confidence Interval for the ounces in the bottles.

3. 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.

4. 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.

5. Use at least two (2) quality
resources in this assignment. Note: Wikipedia and similar Websites do not
qualify as quality resources. The body of the paper must have in-text citations
that correspond to the references.

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; citations and references must follow APA or school-specific
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