Provided below are summary statistics for independent simple random samples from two populations. Use the nonpooled​ t-test and the nonpooled​ t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.   x1=10​, s1=2​, n1=10​, x2=14​, s2=6​, n2=10   a.​ Two-tailed test, α=0.05       b. 95​% confidence interval   a. What are the hypotheses for the​ t-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   Find the test statistic.   t=_________ ​(Round to three decimal places as​ needed.)   Find the critical values.   ±tα/2=±___________ ​(Round to three decimal places as​ needed.)   What is the conclusion of the hypothesis​ test?   A. Do not reject H0. There is insufficient evidence that the two means are different.   B. Reject H0. There is sufficient evidence that the two means are different.   C. Reject H0. There is insufficient evidence that the two means are different.   D. Do not reject H0. There is sufficient evidence that the two means are different.   b. The 95​% confidence interval is from _________ to __________. ​(Round to three decimal places as​ needed.)

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Provided below are summary statistics for independent simple random samples from two populations. Use the nonpooled​ t-test and the nonpooled​ t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.
 
x1=10​,
s1=2​,
n1=10​,
x2=14​,
s2=6​,
n2=10
 
a.​ Two-tailed test, α=0.05      
b. 95​% confidence interval
 
a. What are the hypotheses for the​ t-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
 
Find the test statistic.
 
t=_________
​(Round to three decimal places as​ needed.)
 
Find the critical values.
 
±tα/2=±___________
​(Round to three decimal places as​ needed.)
 
What is the conclusion of the hypothesis​ test?
 
A. Do not reject H0. There is insufficient evidence that the two means are different.
 
B. Reject H0. There is sufficient evidence that the two means are different.
 
C. Reject H0. There is insufficient evidence that the two means are different.
 
D. Do not reject H0. There is sufficient evidence that the two means are different.
 
b. The 95​% confidence interval is from _________ to __________.
​(Round to three decimal places as​ needed.)
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