A manufacturer of a brand of designer jeans realises that many retailers charge less than the suggested retail price of $100. The manufacturer provides you with the information she collects from a random sample of 12 retailers and asks you to perform some statistical analysis to have some statistical evidence on this realisation. You find that the mean of prices of the jeans is $70 and find the95% confidence interval for the mean retail price of jeans that follows a normal distribution with the standard deviation of prices equal to $10.