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 31 mothers gave a sample mean 68.4. Another random sample of 35 fathers gave a sample mean of 59.1. Assume that o₁ = 11.8 and ₂ = 10.5. Let u be the population mean of x₁ and let u₂ 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 Owe can not say that the mothers have a higher mean empathy score. OWe can say with 99% confidence that the mothers have a higher mean empathy score. OWe can say with 99% confidence that the fathers have a higher mean empathy score.

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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 31 mothers gave a sample mean 68.4. Another random sample
of 35 fathers gave a sample mean of 59.1. Assume that o₁ = 11.8 and o₂ = 10.5.
Let u be the population mean of x₁ and let ₂ 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
Owe can not say that the mothers have a higher mean empathy score.
We can say with 99% confidence that the mothers have a higher mean empathy score.
We can say with 99% confidence that the fathers 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 31 mothers gave a sample mean 68.4. Another random sample of 35 fathers gave a sample mean of 59.1. Assume that o₁ = 11.8 and o₂ = 10.5. Let u be the population mean of x₁ and let ₂ 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 Owe can not say that the mothers have a higher mean empathy score. We can say with 99% confidence that the mothers have a higher mean empathy score. We can say with 99% confidence that the fathers have a higher mean empathy score.
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