Areal-estate company appraised the market value of 36 homes in lyttelton and found that the sample mean and standard deviation were $150,000 and $17,000 respectively. the real-estate company also appraised the market value of 45 homes in aranui and found that the sample mean and standard deviation were $100,000 and $12,000 respectively. calculate the 90% confidence interval estimate for the population difference in market value between the lyttelton and aranui areas .