64. An urban planning group is interested in estimating the difference between m

Question

64. An urban planning group is interested in estimating the difference between mean household income for two neighborhoods in a large metropolitan area. Independent samples of households in the neighborhood provided the following results: Neighborhood Income (in thousands of dollars) 21.5 34.6 18.9 16.0 63.0 54.5 43.5 29.5 37.5 32.4 31.5 44.5 52.0 43.0 56.4 42.5 34.7 37.3 42.2 Let ' denote the mean income of Neighborhood I, and 2 denote the mean income of Neighborhood 2. a. Construct a 95% confidence interval for 1-u2. b. What is the point estimate of -u2? c. What is the margin of error of the interval in part b? d. Does the confidence interval indicate that 1

Explanation / Answer

a)

b)

Point estimate = -6.21

c)

ME = 12.9589

d)

No, CI does not indicate mu1 < mu2. Because CI includes 0 in between CI.

e)

p-value = 0.1586

As p-value is greater than significane level of 0.05, we fail to reject the null hypothesis.

There are not sufficient evidence to support that the mean income of neighborhood 2 is higher than that of neighborhood 1

Given Data N1 N2 Name mean 35.444 41.65 Sample size 9 10 Std. dev. 16.10 8.11

Related Questions

Navigate

• Browse (All)
• Browse 6
• Subjects

---

---

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