TABLE 10-3
A real estate company is interested in testing whether the mean time that families in Gotham have been living in their current homes is less than families in Metropolis. Assume that the two population variances are equal. A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes.
Gotham: G = 35 months, SG² = 900 Metropolis: M = 50 months, SM² = 1050
-Referring to Table 10-3, what is the estimated standard error of the difference between the 2 sample means?
A) 4.06
B) 5.61
C) 8.01
D) 16.00

Question

TABLE 10-3
A real estate company is interested in testing whether the mean time that families in Gotham have been living in their current homes is less than families in Metropolis. Assume that the two population variances are equal. A random sample of 100 families from Gotham and a random sample of 150 families in Metropolis yield the following data on length of residence in current homes.
Gotham:  G = 35 months, SG² = 900 Metropolis:  M = 50 months, SM² = 1050
-Referring to Table 10-3, what is the estimated standard error of the difference between the 2 sample means?
A) 4.06 
B) 5.61 
C) 8.01 
D) 16.00

Quizplus · Accepted Answer

The estimated standard error of the difference between two sample means is calculated using the formula: sqrt((s1^2/n1) + (s2^2/n2)), where s1 and s2 are the standard deviations of the two samples, and n1 and n2 are the sample sizes. Based on the given options, 4.06 is the correct calculation.

TABLE 10-3 a Real Estate Company Is Interested in Testing Whether the Whether