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 14.23 11 15.77 21 16.23
2 14.32 12 15.80 22 16.25
3 14.98 13 15.82 23 16.31
4 15.00 14 15.87 24 16.32
5 15.11 15 15.98 25 16.34
6 15.21 16 16.00 26 16.46
7 15.42 17 16.02 27 16.47
8 15.47 18 16.05 28 16.51
9 15.65 19 16.21 29 16.91
10 15.74 20 16.21 30 16.96
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.
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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