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? A. 0.05712 B. 0.11424 C. 0.015598 D. 0.031197 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. %3D

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Answer 25, 26, 27

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?
A. 0.05712
B. 0.11424
C. 0.015598
D.0.031197
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.
Transcribed Image Text: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? A. 0.05712 B. 0.11424 C. 0.015598 D.0.031197 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.
For #22- #27:
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:
%3D
Mine 1:
Mine 2:
8380 8210 8360 7840 7910
7540 7720 7750 8100 7690
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
Mean
8140
7760
Mean
8140
7760
Variance
63450
42650
Variance
63450
42650
Observations
5
Observations
5.
Pearson Correlation -0.69059
Pooled Variance
53050
Hypothesized Mea
df
Hypothesized Mear
01
df
8.
t Stat
2.014279
t Stat
2.608621
0.05712
P(T<=t) one-tail
0.015599
P(T<=t) one-tail
t Critical one-tail
2.131847
t Critical one-tail
1.859548
P(T<=t) two-tail
t Critical two-tail 2.306004
0.11424
0.031197
P(T<3Dt) two-tail
t Critical two-tail
2.776445
B.
А.
Transcribed Image Text:For #22- #27: 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: %3D Mine 1: Mine 2: 8380 8210 8360 7840 7910 7540 7720 7750 8100 7690 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 Mean 8140 7760 Mean 8140 7760 Variance 63450 42650 Variance 63450 42650 Observations 5 Observations 5. Pearson Correlation -0.69059 Pooled Variance 53050 Hypothesized Mea df Hypothesized Mear 01 df 8. t Stat 2.014279 t Stat 2.608621 0.05712 P(T<=t) one-tail 0.015599 P(T<=t) one-tail t Critical one-tail 2.131847 t Critical one-tail 1.859548 P(T<=t) two-tail t Critical two-tail 2.306004 0.11424 0.031197 P(T<3Dt) two-tail t Critical two-tail 2.776445 B. А.
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