Test the claim about the population​ mean, mu ​, at the given level of significance using the given sample statistics.   ​Claim: mu not equals6000 ​; alpha equals0.05 ​; sigma equals333 . Sample​ statistics: x overbar equals5700 ​, nequals 33 Identify the null and alternative hypotheses. Choose the correct answer below.     A. Upper H 0 ​: mu not equals6000 Upper H Subscript a ​: mu greater than or equals6000     B. Upper H 0 ​: mu not equals6000 Upper H Subscript a ​: mu equals6000     C. Upper H 0 ​: mu greater than or equals6000 Upper H Subscript a ​: mu not equals6000     D. Upper H 0 ​: mu not equals6000 Upper H Subscript a ​: mu less than or equals6000     E. Upper H 0 ​: mu equals6000 Upper H Subscript a ​: mu not equals6000     F. Upper H 0 ​: mu less than or equals6000 Upper H Subscript a ​: mu not equals6000   Calculate the standardized test statistic.   The standardized test statistic is nothing . ​(Round to two decimal places as​ needed.) Determine the critical​ value(s). Select the correct choice below and fill in the answer box to complete your choice.   ​(Round to two decimal places as​ needed.)   A. The critical value is nothing .   B. The critical values are plus or minus nothing . Determine the outcome and conclusion of the test. Choose from the following.     A. Fail to reject   Upper H 0 . At the 5 ​% significance​ level, there is not   enough evidence to reject the claim.   B. Reject   Upper H 0 . At the 5 ​% significance​ level, there is   enough evidence to reject the claim.   C. Fail to reject   Upper H 0 . At the 5 ​% significance​ level, there is not   enough evidence to support the claim.   D. Reject   Upper H 0 . At the 5 ​% significance​ level, there is   enough evidence to support the claim.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Test the claim about the population​ mean,

mu
​,
at the given level of significance using the given sample statistics.
 
​Claim:
mu

not equals6000

​;
alpha

equals0.05

​;
sigma

equals333

.

Sample​ statistics:

x overbar

equals5700

​,
nequals

33

Identify the null and alternative hypotheses. Choose the correct answer below.
 
 
A.
Upper H 0
​:
mu

not equals6000

Upper H Subscript a
​:
mu

greater than or equals6000

 
 
B.
Upper H 0
​:
mu

not equals6000

Upper H Subscript a
​:
mu

equals6000

 
 
C.
Upper H 0
​:
mu

greater than or equals6000

Upper H Subscript a
​:
mu

not equals6000

 
 
D.
Upper H 0
​:
mu

not equals6000

Upper H Subscript a
​:
mu

less than or equals6000

 
 
E.
Upper H 0
​:
mu

equals6000

Upper H Subscript a
​:
mu

not equals6000

 
 
F.
Upper H 0
​:
mu

less than or equals6000

Upper H Subscript a
​:
mu

not equals6000

 
Calculate the standardized test statistic.
 
The standardized test statistic is
nothing
.
​(Round to two decimal places as​ needed.)
Determine the critical​ value(s). Select the correct choice below and fill in the answer box to complete your choice.
 
​(Round to two decimal places as​ needed.)
 
A.
The critical value is
nothing
.
 
B.
The critical values are
plus or minus

nothing

.
Determine the outcome and conclusion of the test. Choose from the following.
 
 
A.
Fail to reject
 
Upper H 0
.

At the

5
​%

significance​ level, there

is not
 
enough evidence to reject the claim.
 
B.
Reject
 
Upper H 0
.

At the

5
​%

significance​ level, there

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

At the

5
​%

significance​ level, there

is not
 
enough evidence to support the claim.
 
D.
Reject
 
Upper H 0
.

At the

5
​%

significance​ level, there

is
 

enough evidence to support the claim.

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