Problem 2.You are asked to investigate the effects of rain on building foundations.As part of your analysis,you wish to get a good understanding of how much rain falls in an average year.However,the National Weather Service lost most of its records for your area because a roof leaked in their headguarters.so you can only use a sample in your investigation.The following data represent rainfall amounts (in inches for a random sampling of years for your area. You think that the actual mean is higher than what this sample represents.If you assume that they come from a normal distribution with a variance of 5.4,is it possible to say,with 95% confidence,that the actual mean is 13.85 inches(the alternative being the mean is 13.85)?Yes or No? Prove your answer.(6 pts)