Provided below are summary statistics for independent simple random samples from two normal populations. Conduct the required hypothesis test     x1=21​, s1=3​, n1=21​, x2=25​, s2=4​, n2=17   ​Left-tailed test, α=0.05       What are the correct hypotheses for a​ left-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   Compute the test statistic.   t=? ​(Round to three decimal places as​ needed.)   Determine the​ P-value.   ​p-value=? ​(Round to four decimal places as​ needed.)   Since the​ P-value is (equal to or less) (greater) than α​, (reject) (do not reject) H0.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Provided below are summary statistics for independent simple random samples from two normal populations. Conduct the required hypothesis test
 
 
x1=21​,
s1=3​,
n1=21​,
x2=25​,
s2=4​,
n2=17
 
​Left-tailed test,
α=0.05
 
 
 
What are the correct hypotheses for a​ left-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
 
Compute the test statistic.
 
t=?
​(Round to three decimal places as​ needed.)
 
Determine the​ P-value.
 
​p-value=?
​(Round to four decimal places as​ needed.)
 
Since the​ P-value is
(equal to or less) (greater) than α​, (reject) (do not reject) H0.
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Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,