A study of parental empathy for sensitivity cues and baby temperament (higher scores mean more empathy) was performed. 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 36 mothers gave a sample mean of x1 = 69.72. Another random sample of 32 fathers gave x2 = 59.85. Assume that o, = 12.04 and o2 = 12.25. (a) Let u, be the population mean of x, and let u, be the population mean of x2. Find a 95% confidence interval for u - H2. (Use 2 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 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 95% confidence level?

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.