Construct a 95% Confidence Interval …show more content…
It gives an estimated range of values which is likely to include an unknown population parameter, the estimated ranged being calculated from a given set of sample data. In the case study the customers complained that the bottling company provides less than 16 ounces of soda per bottle. The company needs to determine if there is enough evidence to conclude the soda bottles do not contain sixteen ounces. The size of the sample is 30 bottles that has a mean of 14.9 ounces. The standard deviation is found to be .55. Using these calculations there is a confidence level of 95% and the confidence interval would be .2. Therefore, it is a 95% certainty that the true population mean falls with the range of 14.7 to 15.1