Preliminary data analysis indicate that it is reasonable to use a  t -test to carry out the specified hypothesis test. Perform the  t -test using the critical-value approach. Use a significance level of  =α0.05  to test the claim that  ≠μ35.8 . The sample data consists of  10  scores for which  =x44.2  and  =s7.3 .     H0  :  ≠μ35.8 H1  :  =μ35.8 Test statistic:  =t3.64 . Critical values:  =t±2.262 . Reject  H0  :  =μ35.8 . There is sufficient evidence to support the claim that the mean is different from  35.8 .     H0  :  =μ35.8 H1  :  ≠μ35.8 Test statistic:  =t3.64 . Critical values:  =t±2.262 . Reject  H0  :  =μ35.8 . There is sufficient evidence to support the claim that the mean is different from  35.8 .     H0  :  =μ44.2 H1  :  ≠μ44.2 Test statistic:  =t3.64 . Critical values:  =t±2.262 . Reject  H0  :  =μ44.2 . There is sufficient evidence to support the claim that the mean is different from  44.2 .     H0  :  ≠μ44.2 H1  :  =μ44.2 Test statistic:  =t3.64 . Critical values:  =t±2.262 . Reject  H0  :  =μ44.2 . There is sufficient evidence to support the claim that the mean is different from  44.2

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Author:Amos Gilat
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Preliminary data analysis indicate that it is reasonable to use a 

t

-test to carry out the specified hypothesis test. Perform the 

t

-test using the critical-value approach.

Use a significance level of 

=α0.05

 to test the claim that 

≠μ35.8

. The sample data consists of 

10

 scores for which 

=x44.2

 and 

=s7.3

.

 
 
H0
 : 
≠μ35.8

H1
 : 
=μ35.8

Test statistic: 
=t3.64
. Critical values: 
=t±2.262
. Reject 
H0
 : 
=μ35.8
.
There is sufficient evidence to support the claim that the mean is different from 
35.8
.
 
 
H0
 : 
=μ35.8

H1
 : 
≠μ35.8

Test statistic: 
=t3.64
. Critical values: 
=t±2.262
. Reject 
H0
 : 
=μ35.8
.
There is sufficient evidence to support the claim that the mean is different from 
35.8
.
 
 
H0
 : 
=μ44.2

H1
 : 
≠μ44.2

Test statistic: 
=t3.64
. Critical values: 
=t±2.262
. Reject 
H0
 : 
=μ44.2
.
There is sufficient evidence to support the claim that the mean is different from 
44.2
.
 
 
H0
 : 
≠μ44.2

H1
 : 
=μ44.2

Test statistic: 
=t3.64
. Critical values: 
=t±2.262
. Reject 
H0
 : 
=μ44.2
.
There is sufficient evidence to support the claim that the mean is different from 
44.2
.
 
 
 
 
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