Bottling Company Case Study
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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 in the following table
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.
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.
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Solution Summary
Calculations are made by hand and in Excel. The Excel file is provided. Explanations are given for each step.
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Bottling Company Case Study
#1
To compute the mean, sum the number of ounces in the bottles, and divide by the number of bottles.
(14.5 + 14.6 + ... + 14.8 + 14.6) / 30
= 14.87 ounces
The mean is 14.87 ounces.
To compute the median, sort the numbers from lowest to highest. The median is the value in the middle. The sorted numbers are:
14
14
14.1
14.2
14.4
14.5
14.5
14.5
14.6
14.6
14.6
14.7
14.7
14.8
14.8
14.8
14.8
14.9
14.9
14.9
15
15
15.1
15.2
15.3
15.5
15.8
15.8
16
16.1
The numbers in the 15th and 16th positions are both 14.8, so the median is 14.8 ounces.
Excel was used to compute the standard deviation, 0.55. Please see the Excel file.
#2
n = 30
Since the ...
Education
- MSc, California State Polytechnic University, Pomona
- MBA, University of California, Riverside
- BSc, California State Polytechnic University, Pomona
- BSc, California State Polytechnic University, Pomona
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