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(1 point) Two independent samples have been selected, 66 observations from population 1 and 51 observations...

(1 point) Two independent samples have been selected, 66 observations from population 1 and 51 observations from population 2. The sample means have been calculated to be x¯1=10.5 and x¯2=12.8. From previous experience with these populations, it is known that the variances are σ2/1=40 and σ2/2=36.

(a)    Find σ(x¯1−x¯2).
answer:

(b)    Determine the rejection region for the test of H0:(μ1−μ2)=3.94H0:(μ1−μ2)=3.94 and Ha:(μ1−μ2)>3.94Ha:(μ1−μ2)>3.94 Use α=0.02
z>

(c)    Compute the test statistic.
z=

(d)    Construct a 9898 % confidence interval for (μ1−μ2)(μ1−μ2).

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