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 = 67.34. Another random sample of 30 fathers gave x2 = 60.19. Assume that σ1 = 12.46 and σ2 = 11.48. (a) Let μ1 be the population mean of x1 and let μ2 be the population mean of x2. Find a 90% confidence interval for μ1 – μ2. (Use 2 decimal places.) lower limit       upper limit

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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 = 67.34. Another random sample of 30 fathers gave x2 = 60.19. Assume that σ1 = 12.46 and σ2 = 11.48.

(a) Let μ1 be the population mean of x1 and let μ2 be the population mean of x2. Find a 90% confidence interval for μ1 – μ2. (Use 2 decimal places.)
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