I am a manger over a bottling company called Smith Bottling. I have been the manager with this company for the past 10 years and this is the first complaint of this magnitude and I want to ensure that the issue is proved and resolved. We have been getting complaints from customers that the 16 ounce bottles are less that advertised. We pride ourselves here on customer service and want to ensure all customers are receiving what they pay for and happy with their purchase. First step was to obtain samples to test. I asked a few employees to obtain 30 bottles (wanted a good range of sample). The initial weights of the samples taken for review were 14oz. and 16 oz. After taking these samples, I have to bring myself to the realization that there was in fact a problem with the bottling amount. I thought by calculating the Mean, Median and the Standard Deviation, I could come up with better numbers and provide a better detail to my investigation. The mean is the total of the samples divided by the actual number of samples that were taken. Since I took 30 bottles, and the total numbers of ounces were 446.1 this provides a mean of 14.87. The median is the middles number once all samples are sorted in numerical order. I figured the median to be 14.8. The standard deviation is the distance each number is from the next number. I had to find the square root of the variance giving me a number of 0.5503. Smith Bottling is hopeful of our process and wants to make sure every avenue is looked at regarding this complaint. A confidence interval test is also appropriate. We will use 95% interval to construct the test. Confidence interval explains the amount associated with the area explaining the sample estimate that is uncertain. Along with all of the other number I have calculated, I configured the Confidence Interval.

14.673 ≤ µ ≤ 15.067
My next action is