The following samples are independently selected from two populations which follow the normal distributions with equal variance. Sample 1 Sample 2 n1=8 n2=10 x¯1=20 x¯2=18 s1=5 s2=4.5 One wishes to test the following hypotheses H0:μ1−μ2=0Ha:μ1−μ2>0. Find the rejection region for the above test with significance level of .05   (1.645,∞) (1.746,∞) (−∞,−1.645) (−∞,−1.746)

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The following samples are independently selected from two populations which follow the normal distributions with equal variance.

Sample 1 Sample 2
n1=8 n2=10
x¯1=20 x¯2=18
s1=5 s2=4.5

One wishes to test the following hypotheses

H0:μ1−μ2=0Ha:μ1−μ2>0.

Find the rejection region for the above test with significance level of .05

 

(1.645,∞)
(1.746,∞)
(−∞,−1.645)
(−∞,−1.746)
 
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