From a sample of 225 people in pennsylvania, the mean age is 41 years. from a sample of 300 people in new jersey, the mean age is 45 years. assume the population standard deviations for the ages of people from pennsylvania and new jersey are 6 years and 8 years, respectively. construct a 90% confidence interval for the difference in average age between pennsylvania residents and new jersey residents. enter your answer in the format (lower , upper) where "lower" is the lower confidence limit and "upper" is the upper confidence limit. let the pennsylvania ages be the first sample and let the new jersey ages be the second sample. round your answers to two decimal places. do not include units in your answer.