# Calculate measurements of central tendency and dispersal.

Statistics case study
Paper , Order, or Assignment Requirements

Bottling Company Case Study

worth 140 points

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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.

Instructional Video https://youtu.be/SVCYhNaR73E Step by step instructions

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:
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.

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.

view the grading rubric for this assignment.

Points: 140
Criteria
Fair

70-79% C

Proficient

80-89% B

Exemplary

90-100% A

1. Calculate the mean, median, and standard deviation for ounces in the bottles.
Weight: 20%

Partially calculated the mean, median, and standard deviation for ounces in the bottles. Satisfactorilycalculated the mean, median, and standard deviation for ounces in the bottles. Thoroughly calculated the mean, median, and standard deviation for ounces in the bottles.
2. Construct a 95% Confidence Interval for the ounces in the bottles.
Weight: 25%

Partially constructed a 95% Confidence Interval for the ounces in the bottles. Satisfactorilyconstructed a 95% Confidence Interval for the ounces in the bottles. Thoroughlyconstructed 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.
Weight: 30%

Partially conducted a hypothesis test to verify if the claim that a bottle contains less than sixteen (16) ounces is supported. Partially stated the logic of your test, the calculations, and the conclusion of your test. Satisfactorilyconducted a hypothesis test to verify if the claim that a bottle contains less than sixteen (16) ounces is supported. Satisfactorily stated the logic of your test, the calculations, and the conclusion of your test. Thoroughly conducted a hypothesis test to verify if the claim that a bottle contains less than sixteen (16) ounces is supported. Thoroughly stated the logic of your test, the calculations, and the conclusion of your test.
4a. 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

4b. 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.

Weight: 15%

Partially speculated on three (3) possible causes. Partially suggested the strategies to avoid the deficit in the future.

Or

Partially provided a detailed explanation to your boss about the situation. Partially included your speculation on the reason(s) behind the claim, and partially recommended one (1) strategy geared toward mitigating this issue in the future.

Satisfactorily speculated on three (3) possible causes. Satisfactorily suggested the strategies to avoid the deficit in the future.

Or

Satisfactorily provided a detailed explanation to your boss about the situation. Satisfactorily included your speculation on the reason(s) behind the claim, and satisfactorily recommended one (1) strategy geared toward mitigating this issue in the future.

Thoroughlyspeculated on three (3) possible causes. Thoroughlysuggested the strategies to avoid the deficit in the future.

Or

Thoroughlyprovided a detailed explanation to your boss about the situation. Thoroughlyincluded your speculation on the reason(s) behind the claim, and thoroughlyrecommended one (1) strategy geared toward mitigating this issue in the future.

5. Writing / Support for ideas
Weight: 5%

Partially uses reasons and evidence that logically support ideas. Mostly uses reasons and evidence that logically support ideas. Consistently uses reasons and evidence that logically support ideas.
6. Writing / Grammar and mechanics
Weight: 5%

Partially free of errors in grammar, spelling, and punctuation. Mostly free of errors in grammar, spelling, and punctuation. Free of errors in grammar, spelling, and punctuation.