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 = 11.8 and 02 = 10.5. of 35 fathers gave a sample mean of 59.1. Assume that o H₂ X1 Let u, be the population mean of be the population mean of x2. Find a 99% confidence interval for ₁ - ₂. (Round your answers to 2 decimal places.) Lower Limit 1.94 Upper Limit 16.42 (b) Choose the correct conclusion OF and let ✓Of 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. Owe can say with 99% confidence that the fathers have a higher mean empathy score.
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 = 11.8 and 02 = 10.5. of 35 fathers gave a sample mean of 59.1. Assume that o H₂ X1 Let u, be the population mean of be the population mean of x2. Find a 99% confidence interval for ₁ - ₂. (Round your answers to 2 decimal places.) Lower Limit 1.94 Upper Limit 16.42 (b) Choose the correct conclusion OF and let ✓Of 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. Owe can say with 99% confidence that the fathers have a higher mean empathy score.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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 σ₂ = 10.5.
Let μ₁ 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 1.94
Upper Limit 16.42
(b) Choose the correct conclusion
OF
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.
O We can say with 99% confidence that the fathers have a higher mean empathy score.
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