Provided below are summary statistics for independent simple random samples from two populations. Use the pooled​ t-test and the pooled​ t-interval procedure to conduct the required hypothesis test...


Provided below are summary statistics for independent simple random samples from two populations. Use the pooled​ t-test and the pooled​ t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.



x1=20​,

s1=4​,

n1=12​,

x2=18​,

s2=5​,

n2=13



a.​ Right-tailed test, α=0.05

b. 90​% confidence interval



a. What are the correct hypotheses for a​ right-tailed test?




A. H0​: μ1=μ2 Ha​: μ1≠μ2





B. H0​: μ1<μ2 ha​:="" μ1="">





C. H0​: μ1=μ2 Ha​: μ1<>





D. H0​: μ1≠μ2 Ha​: μ1=μ2





E. H0​: μ1>μ2 Ha​: μ1=μ2





F. H0​: μ1=μ2 Ha​: μ1>μ2




Compute the test statistic.



t=______________

​(Round to three decimal places as​ needed.)


Determine the critical value.



tα=____________

​(Round to three decimal places as​ needed.)



What is the conclusion of the hypothesis​ test?


Since the test statistic___________(is or is not) in the rejection​ region,


__________ (reject or do not reject) H0.





b. The 90​% confidence interval is from _______ to ________.

​(Round to three decimal places as​ needed.)




Jun 06, 2022
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