A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. Let x, be a random variable that represents the score of a mother on an empathy test (as regards her baby). Let x, be the empathy score of a father. A random sample of 35 mothers gave a sample mean of x, = 69.72. Another random sample of 32 fathers gave x2 = 59.04. Assume that of = 10.99 and 2 = 10,88. (a) Let , be the population mean of x, and let /2 be the population mean of X2. Find a 99% confidence interval for 1 - /2. (Round your answers to two decimal places.) lower limit upper limit