A study of parental empathy for sensitivity cues and baby temper 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 30 mothers gave a sample mean 68. Another random sample of 10.7 and = 11.7. 02 36 fathers gave a sample mean of 57. Assume that σ₁ - Let u, be the population mean of x₁ and let u₂ be the population mean of x₂. Find a 99% pro intorial for ₁ (Round your answers to 2 decimal places.)

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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 30 mothers gave a sample mean 68. Another random sample of
36 fathers gave a sample mean of 57. Assume that o₁ = 10.7 and 2 = 11.7.
Let ₁ be the population mean of x₁ and let uz be the population mean of x₂. Find a 99%
confidence interval for ₁-₂. (Round your answers to 2 decimal places.)
Lower Limit
Upper Limit
(b) Choose the correct conclusion
O We can say with 99% confidence that the mothers have a higher mean empathy score.
O We can say with 99% confidence that the fathers have a higher mean empathy score.
O we can not say that the mothers have a higher mean empathy score.
Transcribed Image Text: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 30 mothers gave a sample mean 68. Another random sample of 36 fathers gave a sample mean of 57. Assume that o₁ = 10.7 and 2 = 11.7. Let ₁ be the population mean of x₁ and let uz be the population mean of x₂. Find a 99% confidence interval for ₁-₂. (Round your answers to 2 decimal places.) Lower Limit Upper Limit (b) Choose the correct conclusion O We can say with 99% confidence that the mothers have a higher mean empathy score. O We can say with 99% confidence that the fathers have a higher mean empathy score. O we can not say that the mothers have a higher mean empathy score.
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