Test the claim below about the mean of the differences for a population of paired data at the level of significance alphaα. Assume the samples are random and​ dependent, and the populations are normally distributed.   ​Claim: mu Subscript dμdgreater than or equals≥​0; alphaαequals=0.100.10. Sample​ statistics: d overbard=−2.2​, s Subscript dsd=1.4​, nequals=15       Question content area bottom Part 1 Identify the null and alternative hypotheses. Choose the correct answer below.     A. Upper H 0H0​: mu Subscript dμdgreater than or equals≥0 Upper H Subscript aHa​: mu Subscript dμdless than<0   B. Upper H 0H0​: mu Subscript dμdless than<0 Upper H Subscript aHa​: mu Subscript dμdgreater than or equals≥0   C. Upper H 0H0​: mu Subscript dμdequals=0 Upper H Subscript aHa​: mu Subscript dμdnot equals≠0   D. Upper H 0H0​: mu Subscript dμdgreater than>0 Upper H Subscript aHa​: mu Subscript dμdless than or equals≤0   E. Upper H 0H0​: mu Subscript dμdless than or equals≤0 Upper H Subscript aHa​: mu Subscript dμdgreater than>0   F. Upper H 0H0​: mu Subscript dμdnot equals≠0 Upper H Subscript aHa​: mu Subscript dμdequals=0 Part 2 The test statistic is tequals=enter your response here. ​(Round to two decimal places as​ needed.) Part 3 The​ P-value is enter your response here. ​(Round to three decimal places as​ needed.) Part 4 Since the​ P-value is ▼   greater than less than or equal to the level of​ significance, ▼   fail to reject reject the null hypothesis. There ▼   is not is statistically significant evidence to reject the claim. Choose the correct answer below.The test statistic is t(Round to two decimal places as needed.)The P-value is(Round to three decimal places as needed.)Since the P-value isthe level of significance,the level of significance,the null hypothesis.Therestatistically significant evidence to reject the claim.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Test the claim below about the mean of the differences for a population of paired data at the level of significance
alphaα.
Assume the samples are random and​ dependent, and the populations are normally distributed.
 
​Claim:
mu Subscript dμdgreater than or equals≥​0;
alphaαequals=0.100.10.
Sample​ statistics:
d overbard=−2.2​,
s Subscript dsd=1.4​,
nequals=15
 
 
 

Question content area bottom

Part 1
Identify the null and alternative hypotheses. Choose the correct answer below.
 
 
A.
Upper H 0H0​:
mu Subscript dμdgreater than or equals≥0
Upper H Subscript aHa​:
mu Subscript dμdless than<0
 
B.
Upper H 0H0​:
mu Subscript dμdless than<0
Upper H Subscript aHa​:
mu Subscript dμdgreater than or equals≥0
 
C.
Upper H 0H0​:
mu Subscript dμdequals=0
Upper H Subscript aHa​:
mu Subscript dμdnot equals≠0
 
D.
Upper H 0H0​:
mu Subscript dμdgreater than>0
Upper H Subscript aHa​:
mu Subscript dμdless than or equals≤0
 
E.
Upper H 0H0​:
mu Subscript dμdless than or equals≤0
Upper H Subscript aHa​:
mu Subscript dμdgreater than>0
 
F.
Upper H 0H0​:
mu Subscript dμdnot equals≠0
Upper H Subscript aHa​:
mu Subscript dμdequals=0
Part 2
The test statistic is
tequals=enter your response here.
​(Round to two decimal places as​ needed.)
Part 3
The​ P-value is
enter your response here.
​(Round to three decimal places as​ needed.)
Part 4
Since the​ P-value is
 
greater than
less than or equal to
the level of​ significance,
 
fail to reject
reject
the null hypothesis. There
 
is not
is
statistically significant evidence to reject the claim.
Choose the correct answer below.The test statistic is t(Round to two decimal places as needed.)The P-value is(Round to three decimal places as needed.)Since the P-value isthe level of significance,the level of significance,the null hypothesis.Therestatistically significant evidence to reject the claim.
 
 

 

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