... Assn. 1: Bottling Company Case Study Strayer University Professor Anthony Myers MAT 300-Statistics 06/15/2014 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. 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 | Calculate the Mean, Median, and Standard Deviation for Ounces in the Bottles. As stated in Bluman, (2013), “the mean is found by adding the values of the data and dividing by the total number of values” (p. 114). In the data collected from the bottling company case study, the mean...
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...Assignment 1: Bottling Company Case Study Due Week 10 and worth 140 points 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. NOTE: The Excel workbook containing the above data can be downloaded from here: MAT300_Assignment 1_Data.xlsx In a Word document, write a two to three (2-3) page report in which you: Calculate the mean, median, and standard deviation for ounces in the bottles. Round your final results to 3 significant places after the decimal. Construct a 95% Confidence Interval for the ounces in the bottles. Round your final results to 3 significant places after the decimal. Conduct a hypothesis test to verify if the claim that a bottle contains less than sixteen (16) ounces is supported. Use 0.02 as the level of significance. Clearly state the logic of your test, the calculations, and the conclusion of your test. Note that for performing a hypothesis testing, the following quantities have to be calculated: (a) The sampling error...
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...Bottling Company Case Study TaNeesh Williams Derrick Barbee MAT 300-Statistics March 14, 2015 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. 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 | Calculate the mean, median, and standard deviation for ounces in the bottles. The mean and median are measures of tendency which are also called measures of average. The mean is found by adding the values of the data and dividing by the total number of values. The median is the halfway point in a data set and found by arranging the date in order (Bluman, 2013, p 113-117)....
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...Assignment 1: Bottling Company Case Study Due Week 10 and worth 140 points 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: 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...
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...Bottling Company Case Study Jason Otterbach Instructor: Agata Corobana Strayer University June 8, 2014 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. A Confidence interval is a term used in inferential statistics that measures the probability that a population or sample parameter will be fall between two set values. The confidence interval can take any number of probabilities, with the most common being 95% or 99% (Investopedia.com, n.d.). To find the 95% confidence interval for the ounces in the bottles, we need to find the margin of error E. E =Z_C*(Ó/√(n) 446.1 / 30 = 14.87 x̄ = 14.87 n= 30 σ = 0.5503 E = (14.87 + 14.87) / 2 = 14.8 The 95% confidence interval for the ounces in the bottles can be written as x̄ ±E = 14.87- 0.2 and 14.87 + 0.2 = 14.67 ~ 15.07 In conclusion, with 95% confidence, the mean of the ounces in the bottles is between 14.67 ~ 15.07 ounces. A statistical hypothesis is a statement about the distribution of the data variable X. Equivalently, a statistical hypothesis specifies a set of possible...
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... Assignment 1: Bottling Company Case Study Due Week 10 and worth 140 points 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...
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...Assignment 1: Bottling Company Case Study Due Week 10 and worth 140 points 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...
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...study of a bottling company. The scenario is: 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 of 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. Use the data set below. 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 Calculate the mean, median, and standard deviation for ounces in the bottles. The mean is found by getting a total of all the ounces in the bottles. The ounces total, 446.10 and divided by the number of bottles of 30 is 14.87. The median is the midpoint of the data array which is when the data is sorted by size, the median is 14.8. The standard deviation is found by taking each value in the chart and subtracting the mean and squaring the value; get a total sum of the value of the squares and divide by the number of values minus one. The standard deviation is .55. Construct a 95% confidence interval for the ounces in the bottle...
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...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. 1. My first task is to calculate the mean, median, and standard deviation for the given ounces in the bottles. In order to complete this task, I transferred the data into an Excel workbook. I proceeded to the statistical functions to calculate the mean, median, and standard deviation. The results are defined in the following Excel image. 2. My next task is to construct a 95% confidence interval for the ounces in the bottles. The population mean (µ) is the parameter that I will be using for this equation. From the random sample, the value of µ is x=14.92 The confidence level of the based on this sample will be constructed to capture the µ with 95% confidence. The sample size is n=30 and the population standard deviation is 0.55. According to the central limit theorem, because the sample size is equal to 30, the sample mean x approximately follows a normal distribution with a mean µ and a known standard deviation σ. Using the following...
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...Assignment 1: Bottling Company Case Study xxxxxxx xxxxx Professor xxxxx Math 300 – Statistics June 9, 2014 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. In this case, as the supervisor of the bottling company, I began an investigation to find out why customers are complaining about our bottles having less ounces than the sixteen ounces that are advertised. To begin my research, I needed to find an answer of how many ounces are each bottle that we send out, and to accomplish this we need to start by calculating the mean number, median and standard deviation of the ounces in each bottle. Today, I decided to randomly pull 30 bottles to calculate the ounces of each, which will give us an idea of what to do if there is a problem. To determine the average of a set of data values, we need the sum of all of the data values divided by the number of data values. Which is calculated as follows: Mean = (Sum of all data values) / (Number of data values). In my research...
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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 by your instructor to complete this assignment. Bottle Number Ounces Bottle Number Ounces Bottle Number Ounces 1 14 11 14.6 21 15 2 14 12 14.7 22 15 3 14.1 13 14.7 23 15.1 4 14.2 14 14.8 24 15.2 5 14.4 15 14.8 25 15.3 6 14.5 16 14.8 26 15.5 7 14.5 17 14.8 27 15.8 8 14.5 18 14.9 28 15.8 9 14.6 19 14.9 29 16 10 14.6 20 14.9 30 16.1 Calculate the mean, median, and standard deviation for ounces in the bottles. According to Larson and Farber, 2009, the mean of a data set is the sum of the data entries divided by the number entries. To find the mean of the sample data set the formula must be used: Sample mean x̄ = (∑x)/N = 446.1/30= 14.87 According to Larson and Farber, 2009, the median of a data set is the value that lie in the middle of the data when the data set is ordered. The given numbers in the table are in order, there are thirty entries (an even number). The median is the mean of the two middle entries. Median...
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...Week 5 .Week 6 .Week 7 .Week 8 .Week 9 .Week 10 .Week 11 .Supplemental Instruction .Week 10 Assignment 1 Skip to Course Menu Skip to Top Frame Tabs . .Content Week 10 Assignment 1 - Submit Here . Students, please view the "Submit a Clickable Rubric Assignment" in the Student Center. Instructors, training on how to grade is within the Instructor Center. Assignment 1: Bottling Company Case Study Due Week 10 and worth 140 points 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...
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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 by your instructor to complete this assignment. Bottle Number Ounces Bottle Number Ounces Bottle Number Ounces 1 14 11 14.6 21 15 2 14 12 14.7 22 15 3 14.1 13 14.7 23 15.1 4 14.2 14 14.8 24 15.2 5 14.4 15 14.8 25 15.3 6 14.5 16 14.8 26 15.5 7 14.5 17 14.8 27 15.8 8 14.5 18 14.9 28 15.8 9 14.6 19 14.9 29 16 10 14.6 20 14.9 30 16.1 Calculate the mean, median, and standard deviation for ounces in the bottles. According to Larson and Farber, 2009, the mean of a data set is the sum of the data entries divided by the number entries. To find the mean of the sample data set the formula must be used: Sample mean x̄ = (∑x)/N = 446.1/30= 14.87 According to Larson and Farber, 2009, the median of a data set is the value that lie in the middle of the data when the data set is ordered. The given numbers in the table are in order, there are thirty entries (an even number). The median is the mean of the two middle entries. Median...
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...ROBERT F. HARTLEY • Cindy Claycomb 12th Edition T W E L F T H E D I T I O N MARKETING MISTAKES AND SUCCESSES Robert F. Hartley Late of Cleveland State University Cindy Claycomb Wichita State University VICE PRESIDENT & EXECUTIVE PUBLISHER SENIOR EDITOR PROJECT EDITOR EDITORIAL ASSISTANT ASSOCIATE DIRECTOR OF MARKETING MARKETING MANAGER MARKETING ASSISTANT DESIGN DIRECTOR PRODUCT DESIGNER SENIOR PRODUCTION MANAGER ASSOCIATE PRODUCTION MANAGER PRODUCTION EDITOR COVER DESIGNER George Hoffman Franny Kelly Brian Baker Jacqueline Hughes Amy Scholz Kelly Simmons Marissa Carroll Harry Nolan Allison Morris Janis Soo Joel Balbin Eugenia Lee Kenji Ngieng This book was set in 10/12 New Caledonia by Aptara®, Inc. and printed and bound by Courier/Westford. The cover was printed by Courier/Westford. This book is printed on acid-free paper. Founded in 1807, John Wiley & Sons, Inc. has been a valued source of knowledge and understanding for more than 200 years, helping people around the world meet their needs and fulfill their aspirations. Our company is built on a foundation of principles that include responsibility to the communities we serve and where we live and work. In 2008, we launched a Corporate Citizenship Initiative, a global effort to address the environmental, social, economic, and ethical challenges we face in our business. Among the issues we are addressing are carbon impact, paper specifications and procurement, ethical...
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...PUBLISHER EXECUTIVE EDITOR ASSISTANT EDITOR PRODUCTION MANAGER PRODUCTION ASSISTANT EXECUTIVE MARKETING MANAGER ASSISTANT MARKETING MANAGER MARKETING ASSISTANT DESIGN DIRECTOR SENIOR DESIGNER SENIOR MEDIA EDITOR George Hoffman Lise Johnson Carissa Doshi Dorothy Sinclair Matt Winslow Amy Scholz Carly DeCandia Alana Filipovich Jeof Vita Arthur Medina Allison Morris This book was set in 10/12 New Caledonia by Aptara®, Inc. and printed and bound by Courier/Westford. The cover was printed by Courier/Westford. This book is printed on acid-free paper. Copyright © 2009, 2006, 2004, 2001, 1998, 1995, 1992, 1989, 1986, 1981, 1976 John Wiley & Sons, Inc. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as permitted under Sections 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, Inc. 222 Rosewood Drive, Danvers, MA 01923, website www.copyright.com. Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030-5774, (201)748-6011, fax (201)748-6008, website http://www.wiley.com/go/permissions. To order books or for customer service please, call 1-800-CALL WILEY (225-5945)...
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