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=20​, s1=5​,n1=15​,x2=29​,s2=8​,n2=25 a.​ Left-tailed test, α=0.05      b.90​%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​ P-value. P= ​(Round to four decimal places as​ needed.)   What is the conclusion of the hypothesis​ test? A. Do not reject H0. There is sufficient evidence that μ1 is less than μ2.   B. Reject H0.There is insufficient evidence that μ1 is less than μ2. C.Reject H0.There is sufficient evidence that μ1 is less than μ2. D.Do not reject H0.There is insufficient evidence that μ1 is less than μ2.   b. The 90​% confidence interval is from____ to_____ ​(Round to three decimal places as​ needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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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=20​, s1=5​,n1=15​,x2=29​,s2=8​,n2=25
a.​ Left-tailed test, α=0.05      b.90​%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​ P-value.
P=
​(Round to four decimal places as​ needed.)
 
What is the conclusion of the hypothesis​ test?
A.
Do not reject H0. There is sufficient evidence that
μ1 is less than μ2.
 
B. Reject H0.There is insufficient evidence that μ1 is less than μ2.
C.Reject H0.There is sufficient evidence that μ1 is less than μ2.
D.Do not reject H0.There is insufficient evidence that μ1
is less than μ2.
 
b. The 90​% confidence interval is from____ to_____
​(Round to three decimal places as​ needed.)
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