A camp director is interested in the mean number of letters each child sends during his/her camp session. A survey of 20 campers is taken. The mean from the sample is 7.9 with sample standard deviation of 2.8. Round your answers to 2 decimal places. a) x = S = n = 0 = b) Define the random variables in words: i) X : ii ) X : c) Which distribution should you use for this problem? Explain your choice. d) Construct the 95% confidence interval for the population mean number of letters campers send home. i) State the confidence interval: ii) Calculate the error bound: iii) Interpret the 97% confidence interval in the context of the problem. iv) Sketch the graph