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...

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=8​,
s1=5​,
n1=15​,
x2=10​,
s2=8​,
n2=15


a.​ Two-tailed test, α=0.01
b. 99​% confidence interval


What are the hypotheses for the​ t-test?


A. H0​: μ1=μ2
Ha​: μ1<>



B. H0​: μ1=μ2


Ha​: μ1≠μ2



C. H0​: μ1≥μ2
Ha​: μ1<>


D. H0​: μ1=μ2
Ha​: μ1>μ2

Find the test statistic: t = -0.821

Find the critical values.