Math300 Statistics Week 10 Assignment 1

Week 10 Assignment 1

• Week 10 Assignment 1 Submission

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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.

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:
• 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

• 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.

1. 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.

Click
here to view the grading rubric for this
assignment.

• Project Data

The
data is below. You can also download the Excel file after that.

Bottle	Ounces
1	14.5
2	17
3	14.7
4	16.8
5	14.9
6	15.3
7	14.9
8	15.5
9	14.8
10	16.3
11	15
12	15.1
13	15
14	16.4
15	15.8
16	16.3
17	16
18	16.1
19	15.8
20	16.3
21	14.1
22	14.2
23	17.1
24	16.2
25	17.1
26	14.5
27	16.4
28	14.8
29	16.2
30	16.4