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Descriptive Statistics, Confidence Interval & Testing

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Bottling Company Case Study /Calculate measurements of central tendency and dispersal. Determine confidence intervals for data.

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 Ounces Bottle Ounces Bottle Ounces
Number Number Number
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.

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

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Solution Summary

The solution provides step by step method for the calculation of descriptive statistics, confidence interval and hypothesis testing. Formula for the calculation and Interpretations of the results are also included.

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Hypothesis test, descriptive statistics, confidence intervals

Please see attached for fully formatted question.

Model Model Model Model
Current New Current New Current New Current New
264 277 270 272 263 274 281 283
261 269 287 259 264 266 274 250
267 263 289 264 284 262 273 253
272 266 280 280 263 271 263 260
258 262 272 274 260 260 275 270
283 251 275 281 283 281 267 263
258 262 265 276 255 250 279 261
266 289 260 269 272 263 274 255
259 286 278 268 266 278 276 263
270 264 275 262 268 264 262 279

1. Formulate and present the rational for a hypothesis test that Par could use to compare the driving distances of the current and new gold balls.
2. Analyze the data to provide the hypothesis testing conclusion. What is the p-value for your test? What is your recommendation for Par. Inc?
3. Provide descriptive statistical summaries of the data for each model.
4. What is the 95% confidence interval for the population mean of each model, and what is the 95% confidence interval for the difference between the means of the two populations?
5. Do you see a need for larger samples sizes and more testing with the golf balls? Discuss

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