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 40 mothers gave a sample mean of x1 = 69.04. Another random sample of 39 fathers gave x2 = 59.72. Assume that σ1 = 11.83 and σ2 = 11.74. (a) Let μ1 be the population mean of x1 and let μ2 be the population mean of x2. Find a 99% confidence interval for μ1 – μ2. (Round your answers to two decimal places.) lower limit upper limit

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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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 40 mothers gave a sample mean of x1 = 69.04. Another random sample of 39 fathers gave x2 = 59.72. Assume that σ1 = 11.83 and σ2 = 11.74.
(a)
Let μ1 be the population mean of x1 and let μ2 be the population mean of x2. Find a 99% confidence interval for μ1 – μ2. (Round your answers to two decimal places.)
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