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 = (14.8+14.8)/2 = 14.8
According to Larson and Farber, 2009, the standard deviation is the difference between the entry data and the entry mean.
Sample standard deviation x=√(∑(x-µ)^2 )/(N-1) = √8.783/(30-1) = √0.302862 = 0.5503 Construct a 95% Confidence Interval for the ounces in the bottles.
According to research from the internet, Confidence interval is a term used in inferential