Two independent samples have been selected, 88 observations from population 1 and 51 observations from population 2. The sample means have been calculated to be ?⎯⎯⎯1=12.8x¯1=12.8 and ?⎯⎯⎯2=14.7x¯2=14.7. From previous experience with these populations, it is known that the variances are ?21=26σ12=26 and ?22=30σ22=30.    (a)    Find ?(?⎯⎯⎯⎯1−?⎯⎯⎯⎯2)σ(x¯1−x¯2). answer:  (b)    Determine the rejection region for the test of ?0:(?1−?2)=3.25H0:(μ1−μ2)=3.25 and ??:(?1−?2)>3.25Ha:(μ1−μ2)>3.25 Use

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Two independent samples have been selected, 88 observations from population 1 and 51 observations from population 2. The sample means have been calculated to be ?⎯⎯⎯1=12.8x¯1=12.8 and ?⎯⎯⎯2=14.7x¯2=14.7. From previous experience with these populations, it is known that the variances are ?21=26σ12=26 and ?22=30σ22=30. 

 

(a)    Find ?(?⎯⎯⎯⎯1−?⎯⎯⎯⎯2)σ(x¯1−x¯2).
answer: 

(b)    Determine the rejection region for the test of ?0:(?1−?2)=3.25H0:(μ1−μ2)=3.25 and ??:(?1−?2)>3.25Ha:(μ1−μ2)>3.25 Use ?=0.05α=0.05.
?>z> 

(c)    Compute the test statistic.
?=z= 

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