Assignment 1: Bottling Company Case Study
In this project we were given the case of customer complaints that the bottles of the brand of soda produced in our company contained less than the advertised sixteen ounces of product. Our boss wants us to solve the problem at hand and has asked me to investigate. I have asked my employees to pull Thirty (30) bottles off the line at random from all the shifts at the bottling plant. The first step in solving this problem is to calculate the mean (x bar), the median (mu), and the standard deviation (s) of the sample. All of those calculations were easily computed in excel. The mean was computed by entering:
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(14.87*16/0.550329055/5.4772 = 0.1005) So, we have p = 0.1005. Then we ask if p is greater than a (alpha). Since p is greater than a = 0.10 we decide that there is significant evidence supporting the claim to not reject the Ho. So, we accept the null hypothesis that on average there is less than the advertised 16oz in each bottle. Some of the possible causes of the possible causes of the difference of the average amount of soda per bottle could be that there is a maintenance issue with the machines that dispense the soda into the bottles. Calibration of the machinery could resolve the issue. A second reason that the bottles contain less than 16oz on average is that there could be an issue with the loss of product between the bottles being filled and the bottle caps being put on. In this case, the bottles would need to be monitored between being filled and being capped to observe any variance in that phase of the bottling process. A third reason that the bottles contain less than 16oz on average could be a faulty measurement process. If in the filling process the soda is freshly mixed and contains various amounts of air and once the product settles the air is dispersed the bottle volume may be less than it was when it was filled. So if the volume is measured any time before the air is dispersed and the product settles then there would be a random variance in the volume. This can be resolved in many ways, but I speculate that the easiest and
"Cooley Distillery: The Independent Spirit of Ireland" is a "David and Goliath" case surrounding Cooley Distillery, which is the only independently owned Irish whiskey distiller in the world. Located in Ireland, the company has managed to survive strong competition in the oligopolistic category of Irish whiskey in the global spirits industry for 25 years. The non-listed public company has remained a niche player despite gaining a staggering reputation for quality and innovation in its offerings. One of the biggest problems faced by the company is that in all these years, Cooley Distillery has never managed to pay any dividends to its 290 shareholders and John Teeling, the founder and chairman
Under Ho, the average proportion is: p= x/n = 48/450 = 0.10666. If H0 is true then we would expect the expected frequencies for each type of residences to be: fei = 0.10666*column total. Using PHStat, the expected frequencies are computed and used to evaluate the test statistic.
4. Give the mean for the median column of the Worksheet. Is this estimate centered about the parameter of interest (the parameter of interest is the answer for the mean in question 2)
• Provide at least two examples or problem situations in which statistics was used or could be used.
The mean for the median column of the worksheet is 3.6Yes, the estimate is centered about the parameter of interest.
Given the following information, would your decision be to reject or fail to reject the null hypothesis? Setting the level of significance at .05 for decision making, provide an explanation for your conclusion.
The main problem in this case “Bottling at Creemore Springs Brewery” is that will the cleaning of the bottles change to be in the house cleaning or maintain its current method of cleaning with a contractor. Having Thompson and Fuller responsible for the decision to be made, which have to be a strategic one or it will effect the long term profitability and success of the company. They have to make the company be more productive and efficient.
I conclude that there are less than sixteen (16) ounces in some of the bottles of soda. Some causes that may contribute to the issues may include a mechanical defect with the company’s equipment, employees failed to notice or inspect the bottles before packaging, or the product evaporates or goes flat after a period time has passed. As manager, I recommend that there will be a monthly maintenance check on the equipment and documented. Also, employees will be monitored in how thorough the product is inspected before leaving the assembly line and packaged. Lastly, I will stress to consumers of the possibility that the product may have experienced evaporation and gone flat depending on how long it stays on the shelf unopened.
Estimates of fixed costs are reasonably straightforward and are given in the case (p.280), a total of $250,000 ($160,000+$90,000).
The customers in this case study have complained that the bottling company provides less than the advertised sixteen ounces of product. They need to determine if there is enough evidence to conclude the soda bottles do not contain sixteen ounces. The sample size of sodas is 30 and has a mean of 14.9. The standard deviation is found to be 0.55. With these calculations and a confidence level of 95%, the confidence interval would be 0.2. There is a 95% certainty that the true population mean falls within the range of 14.7 to 15.1.
Fry Brothers heating and Air Conditioning, Inc. employs Larry Clark and George Murnen to make service calls to repair furnaces and air conditioning units in homes. Tom Fry, the owner, would like to know whether there is a difference in the mean number of service calls they make per day. Assume the population standard deviation for Larry Clark is 1.05 calls per day and 1.23 calls per day for George Murnen. A random sample of 40 days last year showed that Larry Clark made an average of
Quality Associates, Inc. is a consulting firm that advises its clients about sampling and statistical procedures that can be used to control manufacturing processes. In one case, a client provided Quality Associates with a sample of 800 observations that were taken during a time when the client's process was operating satisfactorily. The sample standard deviation for these data was .21, hence, the population standard deviation was assumed to be .21. Quality Associates then suggested that random samples of size 30 be taken periodically to monitor the process on an ongoing basis. By analyzing the new samples, the client could quickly learn whether the process was operating satisfactorily. When the process was not operating
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A pharmaceutical company is testing the effectiveness of a new drug for lowering cholesterol. As part of this trial, they wish to determine whether there is a difference between the effectiveness for women and for men. Using = .05, what is the value the test statistic?
United Beverages’ CEO is debating with his department heads on the course of action the company is going to take in the future. Their flagship product, GangBuster, has been highly successful for the past 5 years. However, they have been thinking of entering the market for Energy Drinks for kids. Paul Diaz also comes up with a revolutionary idea of the dual-drink, having two separate flavored drinks in a bottle and being able to mix both flavors. Due to the limited resources of United Beverages, they have two weeks to decide whether to expand their portfolio or not?