Question

Two independent samples have been selected, 55 observations from population 1 and 72observations from population 2....

Two independent samples have been selected, 55 observations from population 1 and 72observations from population 2. The sample means have been calculated to be x¯1=10.7 and x¯2=8.3. From previous experience with these populations, it is known that the variances are σ21=30 and σ22=23.

(a) Determine the rejection region for the test of

H0:(μ1−μ2)=2.77

H1:(μ1−μ2)>2.77

using α=0.04.

z > __________

(b) Compute the test statistic.

z =

The final conclusion is
A. We can reject H0.
B. There is not sufficient evidence to reject H0.

(c)   Construct a 96 % confidence interval for (μ1−μ2).

__________<(μ1−μ2)<____________

Math   Statistics-And-Probability   
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