Construct the requested confidence interval. A study was conducted to determine

Question

Construct the requested confidence interval. A study was conducted to determine if the salaries of elementary school teachers from two neighboring districts were different. A sample of 60 teachers from each district was randomly selected. The mean from the first district was $28, 900 with a population standard deviation of $2000. The mean from the second district was $30, 300 with a population standard deviation of $2990. Construct a 95% confidence interval for mumu_1 - mu_2. (-4081, 597) (-2054, 238) (-2310, -490) (-2789, -11)

Explanation / Answer

The statistical software output for confidence interval is:

Two sample Z confidence interval:
1 : Mean of population 1 (Std. dev. = 2000)
2 : Mean of population 2 (Std. dev. = 2990)
1 - 2 : Difference between two means

95% confidence interval results:

Hence,

The confidence interval is (-2310, -490)

Option C is correct.

Difference n1 n2 Sample mean Std. err. L. limit U. limit 1 - 2 60 60 -1400 464.40105 -2310.2093 -489.79067

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

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