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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 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…...

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...Running head: BOTTLING COMPANY CASE STUDY 1 Bottling Company Case Study BOTTLING COMPANY CASE STUDY 2 Abstract In this assignment, I am a manager at a major bottling company and the customers have begun to make complaints that the bottles of the brand of soda produced at the company I work for have less than the advertised 16 ounces of soda. My boss wants me to solve the problem and has asked me to investigate into the situation. I have the employees on the floor pull 30 bottles off the line at random from every shift which I assume is from three shifts and I have asked the employees involved to measure the amount of soda there is in each of the 30 bottles. The Mean, Median and Standard Deviation The mean or average of a data set is simply the average of all the numbers in the set. To find the average mean add up all the numbers in the data set and divide by how many numbers in the set. In this situation, there are 30 bottles with the weight of 14.5, 14.6, 14.7,14.8,14.9,15.3,14.9, 15.3, 14.9,15.5,14.8,15.2,15,15.1,15,14.4,15.8,14,16,16,15.8,14.5,14.1,14.2,14,14.9,14.7,14.5, 14.6,14.8, and 14.6. The total is 446.1 and divided by 30 and the mean is 14.87. The median is calculated by arranging the data in order and selecting the middle point and in this data set the median is an even number so we have to add......

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...Bottling Company Case Study Vincent Bacon Dr. Pamela Self MAT 300 Statistics December 14, 2013 Bottling Company Case Study Calculate the mean, median, and standard deviation for ounces in the bottles. To determine the mean, which is the statistical average of all numbers involved, we will add the number of ounces together and divide by the number of bottles, in this case 30. For the mean we get 446.1 / 30, for a mean of 14.9. The median, however, is the ‘middle’ number of the bottles ounces. Since we have an even number, it will be the average of the two middle numbers, which will give us a better perspective of the average than just the mean will. In this case it will be 14.8 + 14.8 / 2, which equals 14.8. The standard deviation is calculated to show how far apart the data can be. In the bottling case, after using the mean to get the variance, we divided by 30-1 to get a standard deviation of 0.55 (rounded down to two decimal places). Construct a 95% Confidence Interval for the ounces in the bottles. In order to construct a confidence interval, we need several statistics. The first is the sample mean, which is 14.9. Since we have selected a confidence interval of 95%, we need to find the margin of error to calculate our findings. Using the t-score model ( compute alpha, find the critical probability [.975], the degrees of freedom [999]) (StatTrek, 2013), we find that the critical value is 1.96. When we multiply this by the confidence......

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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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...| The Bottling Company Case Study | MAT300 (Statistics)Professor Pamela Self | | | 9/7/2014 | | Abstract In my research I find the mean, median, and standard deviations. These are simple calculations that can be done in Excel as long as you have the correct information. I was given the ounces of thirty bottles and had to find out whether the bottling companies were putting less than the advertised amount of liquid into the bottles. I believe the companies were putting enough in there but my results showed different. In my assignment, I had to find the mean, median, standard deviation, and confidence interval. I have inserted a spreadsheet to show my calculations. To find the mean I took the sum of ounces for all thirty bottles that were given (=average(B3:B32). To find the median I used the formula in Excel which is: =MEDIAN(B3:B32). To find the standard deviation, I used the formula in Excel as well which is: =STDEVA(B3:B32). The 95% confidence interval is +1.96 and -1.96. I took each bottle and added and subtracted the standard deviation from it to get my results. Majority of the bottles fell within the 95% confidence interval of 14.67 and 15.07. From my results, I was able to create a hypothesis that the claim of bottling companies are putting less than sixteen ounces in the bottle to be true. There can be many reasons the bottles are coming with less than sixteen ounces in them. One reason could be the types of machines that are being used are not......

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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......

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...Soda company | Bottling Company Case Study | Dr. Gregory Wright | | Michael Painter | 12/10/2015 | Statistics | Bottling Company Case Study Customer satisfaction is important to any business that is in business to please their customers who buy their products. That is no different than where I’m at as a manager of a bottling company. I want to make my customers happy and there have been complaints that our sodas are not meeting the labeled size of sixteen ounces. Customers are saying that there are less than sixteen ounces in our bottle. I plan to perform tests to see if we really do having a problem and if we do we need to correct the issue. For use to determine what is going on we collected a sample of bottles from all shifts at the plant for a total of 30 bottles. We calculated the amount of liquid in ounces of each bottle and recorded our date. We determined from the data gathered that out mean is 15.85 ounces, the mode was 16.21 ounces and the median was 15.99 ounces. From the data gathered we were then able to determine the standard deviation of the thirty bottles which was 0.66138 ounces. This information will allow us to see what our average is with the mean and from our average we are below the promised 16 ounces we promote. Then we look at our mode and it shows that our most commonly seen number is 16.21 ounces which tells our team that we have several bottles that are over 16 ounces. Once we achieve those numbers we construct a 95 percent......

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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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