2. Which of the two excel output above is the correct result of the data. A. Choice A B. Choice B С. Both D. None 3. What is the appropriate set of hypotheses for this test?

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The following are measurements of the heat-producing capacity (in millions of calories per ton) of
random samples of five specimens each of coal from two mines:
Mine 1:
AVOHA
8380 8210 8360 7840 7910
7540 7720 7750 8100 7690
Mine 2:
Below are the EXCEL outputs of the data at 95% confidence level:
t-Test: Paired Two Sample for Means
t-Test: Two-Sample Assuming Equal Vari
MINE 1
MINE 2
MINE 1
MINE 2
7760
Mean
Variance
Observations
Pooled Variance
Mean
Variance
Observations
Pearson Correlation-0.69059
Hypothesized Mear
df
t Stat
P(T<-t) one-tail
t Critical one-tail
P(T<=t) two-tail
A. t Critical two-tail
8140
8140
63450
7760
42650
W.BS
63450
42650
5
5
53050
144
245
Hypothesized Mea
df
t Stat
P(T<=t) one-tail
t Critical one-tail
P(T<=t) two-tail
t Critical two-tail 2.306004
4
2.014279
0.05712
2.131847
0.11424
2.776445
8
2.608621
0.015599
1.859548
0.031197
В.
22. Which of the two excel output above is the correct result of the data.
A. Choice A
B. Choice B
C. Both
D. None
23. What is the appropriate set of hypotheses for this test?
A. H,: µ1 - 2 <0 vs HA: µ – Pz >0
B. H.: H1 – Hz = 0 vs HA: µ - Pz #0
C. H,: H1 - uz 20 vs HA: µ- 42 = 0
D. H,: H1 - 2 20 vs HA: 4 - 42 > 0
%3D
Transcribed Image Text:The following are measurements of the heat-producing capacity (in millions of calories per ton) of random samples of five specimens each of coal from two mines: Mine 1: AVOHA 8380 8210 8360 7840 7910 7540 7720 7750 8100 7690 Mine 2: Below are the EXCEL outputs of the data at 95% confidence level: t-Test: Paired Two Sample for Means t-Test: Two-Sample Assuming Equal Vari MINE 1 MINE 2 MINE 1 MINE 2 7760 Mean Variance Observations Pooled Variance Mean Variance Observations Pearson Correlation-0.69059 Hypothesized Mear df t Stat P(T<-t) one-tail t Critical one-tail P(T<=t) two-tail A. t Critical two-tail 8140 8140 63450 7760 42650 W.BS 63450 42650 5 5 53050 144 245 Hypothesized Mea df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 2.306004 4 2.014279 0.05712 2.131847 0.11424 2.776445 8 2.608621 0.015599 1.859548 0.031197 В. 22. Which of the two excel output above is the correct result of the data. A. Choice A B. Choice B C. Both D. None 23. What is the appropriate set of hypotheses for this test? A. H,: µ1 - 2 <0 vs HA: µ – Pz >0 B. H.: H1 – Hz = 0 vs HA: µ - Pz #0 C. H,: H1 - uz 20 vs HA: µ- 42 = 0 D. H,: H1 - 2 20 vs HA: 4 - 42 > 0 %3D
24. From the given results above, which test is anpronriate to test the significant difference between
the heat-producing capacities of the coal from the mines?
A. t-Test: Paired Two Sample for Means/ Dependent
B. t-Test: Two-Sample Assuming Equal Variances/ Independent
C. ANOVA
D. Z- test
25. What is the t- critical value?
A. 2.131847
B. 2.776445
C. 1.859548038 D. 2.306004
26. What is the p-value?
m C. 0.015598
D. 0.031197
A. 0.05712
B. 0.11424
27. At a = 0.05, what is the correct decision?
A. Do not reject the null hypothesis.
B. Reject the alternative hypothesis.
C. Reject the null hypothesis.
D. Do not reject the alternative hypothesis.
wolsd novig
100-0
%3D
Transcribed Image Text:24. From the given results above, which test is anpronriate to test the significant difference between the heat-producing capacities of the coal from the mines? A. t-Test: Paired Two Sample for Means/ Dependent B. t-Test: Two-Sample Assuming Equal Variances/ Independent C. ANOVA D. Z- test 25. What is the t- critical value? A. 2.131847 B. 2.776445 C. 1.859548038 D. 2.306004 26. What is the p-value? m C. 0.015598 D. 0.031197 A. 0.05712 B. 0.11424 27. At a = 0.05, what is the correct decision? A. Do not reject the null hypothesis. B. Reject the alternative hypothesis. C. Reject the null hypothesis. D. Do not reject the alternative hypothesis. wolsd novig 100-0 %3D
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