Imagine You Are A Manager At A Major Bottling Company

Bottling Company: Quality ControlCourse name:Course no.Date:Instructor’s name:30 bottles of soda are selected at random. Then the amount of soda contained in each bottle is measured. The data is given below:Both, mean (or average) and median are measures of central tendency. Mean is simply the average of the observations. On the other hand, median is the mid value of a set of observations.The mean, median and standard deviation of the sample selected is given below:Mean14.87Median 14.8Standard Deviation0.550329For some data sets, the observations are very extreme, i.e. the data are widely dispersed. In these situations, the mean is a good measure of central tendency. This is because, mean is very sensitive to extreme values or outliers, especially when the sample size is small.But in this case, the mean acts as a good measure of central tendency.In order to construct a 95% confidence interval, we have to find the z value at 95% confidence level. The corresponding z value is 1.96.The formula for confidence interval is: x ± z* s/√nA 95% confidence interval is: x ± z*