Psychology: Parental Sensitivity A study was conducted on parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy). Let x1 be a random variable that represents the score of a mother on an empathy test (as regards her baby). Let x2 be the empathy score of a father. A random sample of 32 mothers gave a sample mean of x1 5 69.44. Another random sample of 32 fathers gave x2 5 59. Assume that s1 511.69 and s2 511.60.

(a) Check Requirements Which distribution, normal or Student’s t, do we use to approximate the x1 2x2 distribution? Explain.

(b) Let m1 be the population mean of x1 and let m2 be the population mean of x2. Find a 99% confidence interval for m1 2m2.

(c) Interpretation Examine the confidence interval and explain what it means in the context of this problem.

Does the confidence interval contain all positive, all negative, or both positive and negative numbers?

What does this tell you about the relationship between average empathy scores for mothers compared with those for fathers at the 99% confidence level?

AppendixLO1