MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER 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 34 mothers gave a sample mean of x, = 68.70. Another random sample of 40 fathers gave x, = 60.06. Assume that o, = 11.69 and o, = 11.60. (a) Let , be the population mean of x, and let ,, be the population mean of x, . Find a 99% confidence interval for u. Hy. (Round your answers to two decimal places.) lower limit upper limit (b) Examine the confidence interval and explain what it means in the context of this problem. Does the confidence interval