sampling questions

Q1 Your manager is asking for the average viscosity of a product that you produce in a batc h process. Recorded below are the 12 most recent values, taken from consecutive batche s. Estimate a 95% confidence interval for the mean by adding a value lies between 10-15 to the data given below as 13th information. Interpret that confidence interval for your m anager, who is not sure what a confidence interval is. 13.7,14.9,15.7,16.1,14.7,15.2,13.9,13.9,15.0,13.0,16.7,13.2 Q2. For the data given in Q1, compute the sampling distribution of mean with and witho ut replacement by taking a sample of size 2 and also verify EX ) = m