est the claim about the difference between two population means μ1 and μ2 at the level of significance α. Assume the samples are random and​ independent, and the populations are normally distributed.   ​Claim: μ1=μ2​; α=0.01 Population​ statistics: σ1=3.4​, σ2=1.6 Sample​ statistics: x1=15​, n1=28​, x2=13​, n2=27 Determine the alternative hypothesis.   Ha​: μ1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
Topic Video
Question
est the claim about the difference between two population means
μ1
and
μ2
at the level of significance
α.
Assume the samples are random and​ independent, and the populations are normally distributed.
 
​Claim:
μ1=μ2​;
α=0.01
Population​ statistics:
σ1=3.4​,
σ2=1.6
Sample​ statistics:
x1=15​,
n1=28​,
x2=13​,
n2=27
Determine the alternative hypothesis.
 
Ha​:
μ1
 
greater than or equals≥
greater than>
less than or equals≤
less than<
not equals≠
μ2
Determine the standardized test statistic.
 
z=nothing
​(Round to two decimal places as​ needed.)
Determine the​ P-value.
 
​P-value=nothing
​(Round to three decimal places as​ needed.)
What is the proper​ decision?
 
 
A.
Fail to reject
H0.
There is not enough evidence at the
1​%
level of significance to reject the claim.
 
B.
Reject
H0.
There is enough evidence at the
1​%
level of significance to reject the claim.
 
C.
Reject
H0.
There is not enough evidence at the
1​%
level of significance to reject the claim.
 
D.
Fail to reject
H0.
There is enough evidence at the
1​%
level of significance to reject the claim.
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