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 33 mothers gave a sample mean of x1 = 69.72. Another random sample of 38 fathers gave x2 = 57.68. Assume that Population Standard Deviation1 = 11.97 and Population Standard Deviation2

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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 33 mothers gave a sample mean of x1 = 69.72. Another random sample of 38 fathers gave x2 = 57.68. Assume that Population Standard Deviation1 = 11.97 and Population Standard Deviation2 = 11.86.
(a)
Let Population Standard Deviation1 be the population mean of x1 and let Population Standard Deviation2 be the population mean of x2. Find a 99% confidence interval for Population Standard Deviation1 – Population Standard Deviation2. (Round your answers to two decimal places.
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