A study of parental empathy for sensitivity cues and baby temperament (higher sc

Question

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 29 mothers gave a sample mean of x1 = 68.36. Another random sample of 25 fathers gave x2 = 59.85. Assume that 1 = 11.97 and 2 = 10.85.

(a) Let 1 be the population mean of x1 and let 2 be the population mean of x2. Find a 95% confidence interval for 1 – 2. (Use 2 decimal places.)

lower limit     upper limit    

Explanation / Answer

The statistical software output for this problem is:

Two sample Z summary confidence interval:
1 : Mean of population 1 (Std. dev. = 11.97)
2 : Mean of population 2 (Std. dev. = 10.85)
1 - 2 : Difference between two means

95% confidence interval results:

Hence,

95% confidence interval will be:

Lower limit = 2.42

Upper limit = 14.60

Difference n1 n2 Sample mean Std. err. L. limit U. limit 1 - 2 29 25 8.51 3.1063839 2.4215995 14.5984

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.