Use a​ t-test to test the claim about the population mean mu   at the given level of significance alpha   using the given sample statistics. Assume the population is normally distributed.   ​Claim: mu greater than or equals8300 ​; alpha equals0.10      Sample​ statistics: x overbar equals8000 ​, sequals 460 ​, nequals 23 What are the null and alternative​ hypotheses?     A. H0​: mu equals8300 Ha​: mu not equals8300     B. H0​: mu greater than or equals8300 Ha​: mu less than8300     C. H0​: mu less than or equals8300 Ha​: mu greater than8300     D. H0​: mu not equals8300 Ha​: mu equals8300   What is the value of the standardized test​ statistic?   The standardized test statistic is nothing . ​(Round to two decimal places as​ needed.) What is the​ P-value?   Pequals nothing   ​(Round to three decimal places as​ needed.) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.     A. Reject   Upper H 0 . At the 10 ​% level of​ significance, there is   enough evidence to reject the claim.   B. Fail to reject   Upper H 0 . At the 10 ​% level of​ significance, there is   enough evidence to reject the claim.   C. Reject   Upper H 0 . At the 10 ​% level of​ significance, there is not   enough evidence to reject the claim.   D. Fail to reject   Upper H 0 . At the 10 ​% level of​ significance, there is not   enough evidence to reject the claim.

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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Use a​ t-test to test the claim about the population mean

mu
 

at the given level of significance

alpha
 
using the given sample statistics. Assume the population is normally distributed.
 
​Claim:
mu

greater than or equals8300

​;
alpha

equals0.10

    

Sample​ statistics:

x overbar

equals8000

​,
sequals

460

​,
nequals

23

What are the null and alternative​ hypotheses?
 
 
A.
H0​:
mu

equals8300

Ha​:
mu

not equals8300

 
 
B.
H0​:
mu

greater than or equals8300

Ha​:
mu

less than8300

 
 
C.
H0​:
mu

less than or equals8300

Ha​:
mu

greater than8300

 
 
D.
H0​:
mu

not equals8300

Ha​:
mu

equals8300

 
What is the value of the standardized test​ statistic?
 
The standardized test statistic is
nothing
.
​(Round to two decimal places as​ needed.)
What is the​ P-value?
 
Pequals

nothing

 
​(Round to three decimal places as​ needed.)
Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.
 
 
A.
Reject
 
Upper H 0
.

At the

10
​%

level of​ significance, there

is
 
enough evidence to reject the claim.
 
B.
Fail to reject
 
Upper H 0
.

At the

10
​%

level of​ significance, there

is
 
enough evidence to reject the claim.
 
C.
Reject
 
Upper H 0
.

At the

10
​%

level of​ significance, there

is not
 
enough evidence to reject the claim.
 
D.
Fail to reject
 
Upper H 0
.

At the

10
​%

level of​ significance, there

is not
 

enough evidence to reject the claim.

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