Provided below are summary statistics for independent simple random samples from two normal populations. Conduct the required hypothesis test     x1=13​, s1=2.2​, n1=19​, x2=15​, s2=2.1​, n2=19   ​Two-tailed test, α=0.01

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Provided below are summary statistics for independent simple random samples from two normal populations. Conduct the required hypothesis test
 
 
x1=13​,
s1=2.2​,
n1=19​,
x2=15​,
s2=2.1​,
n2=19
 
​Two-tailed test,
α=0.01
 
 
 
 
​First, what are the correct hypotheses for a​ two-tailed test?
 
 
A.
H0​: μ1=μ2
Ha​: μ1<μ2
 
B.
H0​: μ1=μ2
Ha​: μ1>μ2
 
C.
H0​: μ1<μ2
Ha​: μ1=μ2
 
D.
H0​: μ1=μ2
Ha​: μ1≠μ2
 
E.
H0​: μ1≠μ2
Ha​: μ1=μ2
 
F.
H0​: μ1>μ2
Ha​: μ1=μ2
 
​Next, compute the test statistic.
 
t=?
​(Round to three decimal places as​ needed.)
 
​Finally, determine the​ P-value.
 
p-value=?
​(Round to four decimal places as​ needed.)
 
What is the conclusion of the hypothesis​ test?
 
Since the​ P-value is (equal to or less) (greater) than α​, (reject) (do not reject) H0.
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