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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 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

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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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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 32 mothers gave a sample mean 68.2. Another random sample of 39 fathers gave a sample mean of 57.7. Assume that σ₁ = 10 and σ₂ = 10.4. 01 Let µ, be the population mean of x₁ and let µ½ be the population mean of x₂. Find a 99% confidence interval for µ₁ − µ₂. (Round your answers to 2 decimal places.) Lower Limit Upper Limit (b) Choose the correct conclusion 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. 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 32 mothers gave a sample mean 68.2. Another random sample of 39 fathers gave a sample mean of 57.7. Assume that σ₁ = 10 and σ₂ = 10.4. 01 Let µ, be the population mean of x₁ and let µ½ be the population mean of x₂. Find a 99% confidence interval for µ₁ − µ₂. (Round your answers to 2 decimal places.) Lower Limit Upper Limit (b) Choose the correct conclusion 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. we can not say that the mothers have a higher mean empathy score.
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