Use the given statistics to complete parts​ (a) and​ (b). Assume that the populations are normally distributed. ​(a) Test whether μ1>μ2 at the α=0.10 level of significance for the given sample data. ​(b) Construct a 90​% confidence interval about μ1−μ2.             Population 1 Population 2   n 28 15 x 45.5 43.9 s 5.9 12.3 ​(a) Identify the null and alternative hypotheses for this test.     A. H0​: μ1=μ2 H1​: μ1≠μ2   B. H0​: μ1=μ2 H1​: μ1>μ2 Your answer is correct.   C. H0​: μ1≠μ2 H1​: μ1=μ2   D. H0​: μ1>μ2 H1​: μ1=μ2   E. H0​: μ1<μ2 H1​: μ1=μ2   F. H0​: μ1=μ2 H1​: μ1<μ2     Find the test statistic for this hypothesis test. (need this answer)   ​(Round to two decimal places as​ needed.)

Question
Use the given statistics to complete parts​ (a) and​ (b). Assume that the populations are normally distributed.
​(a) Test whether
μ1>μ2
at the
α=0.10
level of significance for the given sample data.
​(b) Construct a
90​%
confidence interval about
μ1−μ2.

 

 

 

 
 
 
Population 1
Population 2
 
n
28
15
x
45.5
43.9
s
5.9
12.3
​(a) Identify the null and alternative hypotheses for this test.
 
 
A.
H0​:
μ1=μ2
H1​:
μ1≠μ2
 
B.
H0​:
μ1=μ2
H1​:
μ1>μ2
Your answer is correct.
 
C.
H0​:
μ1≠μ2
H1​:
μ1=μ2
 
D.
H0​:
μ1>μ2
H1​:
μ1=μ2
 
E.
H0​:
μ1<μ2
H1​:
μ1=μ2
 
F.
H0​:
μ1=μ2
H1​:
μ1<μ2
 
 
Find the test statistic for this hypothesis test. (need this answer)
 
​(Round to two decimal places as​ needed.)

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