Numbers 25-27, please. Thank you
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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Numbers 25-27, please. Thank you
![For #22 - #27:
The following are measurements of the heat-producing capacity (in millions of calories
per ton) of ran dom samples of five specimenseach of coal from two mines:
8380 82 10 8360 7840 7910
7540 7720 7750 8100 7690
Mine 1:
Mine 2:
Below are the EXCEL outputs of the data at 95% confidence level:
t-Test: Paired Two Sample for Meana
t-Test: Two-Sampie Ass uming Equal Var:
MINE 2
8140
63450
MINE 1 MINE 2
MINE 1
7760
42660
Me an
3140
7780
Mean
Variance
Obse rvations
63450
42690
Variance
Obse rvations
PooledVariance
Pearson Corre lat ion-0.69059
Hypothesized Mear
df
tStat
53050
Hypothesized Me
4
2.01479
005712
2.11347
IP
tStat
2.608621
PITot one-tail
t Critical one-tail
PITet one-tail
tCritical one-tail 1.399543
PIT< two-tail
B. tCritical two-tail 2.306004
0.015599
PITot two-tail
0.11424
2.776445
0031197
A.
A tCritical two-tail
22. Which of the two excel output above is the correctresult of the data
A Choice A
B. Choice B
C Both
D. None
23. Whatis the appropriate set of hypotheses for this test?
A H,i - <0 vs Hai - >0
B. Ho: - Ha =0 vs HA: s-42 #0
C Ho: 1-z20 vs Hai -Pz 0
D. H.: 4-H2 20 vs Hai - >0
24 Prom the given results above, which test is appropriate to test the significant
difference betwe en the heat-producing capacities of the co al from the mines?
A t-Test PairedTwo Sample for Means/ Dependent
B. t-Test: Two-Sample Assuming Equal Variances/ Independent
C ANOVA
D. Z test
25. Whatis the t-aritical value?
A 2.131847 B. 2.776445
C 1859548038 D. 2.306004
26. Whatis the p-value?
A 0.05712
B. 0.11424
C.0015598 D. 0.031197
27. At a = 0.05 what is the correct decision?
A Do notrejectthe null hypothesis.
B. Reject the alternative hypothesis.
C Reject the null hypothesis.
D. Do notreject the alternative hypothesis.
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe886bcbe-419f-45d3-826e-f250230c9d62%2F3b4f0bfc-4f9a-4e0d-b13e-d85e734f8c4e%2F4ww4o1g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For #22 - #27:
The following are measurements of the heat-producing capacity (in millions of calories
per ton) of ran dom samples of five specimenseach of coal from two mines:
8380 82 10 8360 7840 7910
7540 7720 7750 8100 7690
Mine 1:
Mine 2:
Below are the EXCEL outputs of the data at 95% confidence level:
t-Test: Paired Two Sample for Meana
t-Test: Two-Sampie Ass uming Equal Var:
MINE 2
8140
63450
MINE 1 MINE 2
MINE 1
7760
42660
Me an
3140
7780
Mean
Variance
Obse rvations
63450
42690
Variance
Obse rvations
PooledVariance
Pearson Corre lat ion-0.69059
Hypothesized Mear
df
tStat
53050
Hypothesized Me
4
2.01479
005712
2.11347
IP
tStat
2.608621
PITot one-tail
t Critical one-tail
PITet one-tail
tCritical one-tail 1.399543
PIT< two-tail
B. tCritical two-tail 2.306004
0.015599
PITot two-tail
0.11424
2.776445
0031197
A.
A tCritical two-tail
22. Which of the two excel output above is the correctresult of the data
A Choice A
B. Choice B
C Both
D. None
23. Whatis the appropriate set of hypotheses for this test?
A H,i - <0 vs Hai - >0
B. Ho: - Ha =0 vs HA: s-42 #0
C Ho: 1-z20 vs Hai -Pz 0
D. H.: 4-H2 20 vs Hai - >0
24 Prom the given results above, which test is appropriate to test the significant
difference betwe en the heat-producing capacities of the co al from the mines?
A t-Test PairedTwo Sample for Means/ Dependent
B. t-Test: Two-Sample Assuming Equal Variances/ Independent
C ANOVA
D. Z test
25. Whatis the t-aritical value?
A 2.131847 B. 2.776445
C 1859548038 D. 2.306004
26. Whatis the p-value?
A 0.05712
B. 0.11424
C.0015598 D. 0.031197
27. At a = 0.05 what is the correct decision?
A Do notrejectthe null hypothesis.
B. Reject the alternative hypothesis.
C Reject the null hypothesis.
D. Do notreject the alternative hypothesis.
%3D
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