MATH 300 STATISTICS

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timer Asked: Dec 6th, 2013

Question Description

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                              14.5           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: 

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. 


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