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 s 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 68.2. Another random samp of 39 fathers gave a sample mean of 57.7. Assume that ₁ = 10 and ₂ = 10.4. Let u be the population mean of x₁ and let μ₂ be the population mean of x₂. Find a 99% confidence interval for µ₁ - H₂. (Round your answers to ? dorimal

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