Instruction 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: $\quad \bar { X } _ { G } = 35$ months, $S _ { G } { } ^ { 2 } = 900$
Metropolis: $\quad \bar { X } _ { M } = 50$ months, $\quad S _ { M ^ { 2 } } = 1,050$
-Referring to Instruction 10-3,what is(are)the critical value(s)of the relevant hypothesis test if the level of significance is 0.01?
A) t$\cong$
Z = -1.96
B) t $\cong$
Z = -2.080
C) t $\cong$
Z = -2.33
D) t $\cong$
Z = ± 1.96

Question

Instruction 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: $\quad \bar { X } _ { G } = 35$ months, $S _ { G } { } ^ { 2 } = 900$
Metropolis: $\quad \bar { X } _ { M } = 50$ months, $\quad S _ { M ^ { 2 } } = 1,050$
-Referring to Instruction 10-3,what is(are)the critical value(s)of the relevant hypothesis test if the level of significance is 0.01?
A) t$\cong$
 Z = -1.96
B) t $\cong$
 Z = -2.080
C) t $\cong$
 Z = -2.33
D) t $\cong$
 Z = ± 1.96

Quizplus · Accepted Answer

The critical value for a one-tailed t-test at the 0.01 level of significance is closer to -2.33, especially when the sample sizes are large but not large enough to use the z-distribution critical values directly.

Instruction 10-3 a Real Estate Company Is Interested in Testing XˉG=35\quad \bar { X } _ { G } = 35XˉG​=35

Instruction 10-3
a Real Estate Company Is Interested in Testing $\quad \bar { X } _ { G } = 35$