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 30 mothers gave a sample mean of x, = 67.85. Another random sample of 25 fathers gave x2 = 61.72. Assume that o1 = 10.85 and oz = 10.57. (a) Let µz be the population mean of x, and let uz be the population mean of x2. Find a 90% confidence interval for H1 - H2. (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 30 mothers gave a sample mean of x, = 67.85. Another random sample of
25 fathers gave x2 = 61.72. Assume that o, = 10.85 and oz = 10.57.
(a) Let µ̟ be the population mean of x, and let uz be the population mean of x2. Find a 90% confidence interval for
H1 - H2. (Use 2 decimal places.)
lower limit
upper limit
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 30 mothers gave a sample mean of x, = 67.85. Another random sample of 25 fathers gave x2 = 61.72. Assume that o, = 10.85 and oz = 10.57. (a) Let µ̟ be the population mean of x, and let uz be the population mean of x2. Find a 90% confidence interval for H1 - H2. (Use 2 decimal places.) lower limit upper limit
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