Expert answer:Statistics Case Study
Answer & Explanation:Assignment 1:
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 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:
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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