The following are measurements of the heat-producing capacity (in millions of calories per ton) random samples of five specimens each of coal from two mines: Mine 1: 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 Mean 8140 Mean 7760 42650 8140 63450 7760 42650 Variance Observations Pearson Correlation -0.69059 Hypothesized Mear Variance Observations Pooled Variance Hypothesized Me 63450 53050 ull

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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:
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
42650
5
Mean
8140
63450
8140
Mean
7760
Variance
Observations
Pooled Variance
Hypothesized Me
df
t Stat
P(T<=t) one-tail
t Critical one-tail
P(T<=t) two-tail
t Critical two-tail
Variance
63450
42650
Observations
Pearson Correlation -0.69059
Hypothesized Mear
df
t Stat
P(T<-t) one-tail
t Critical one-tail
P(T<=t) two-tail
5
53050
4
2.014279
0.05712
2.608621
0.015599
1.859548
ww.es
2.131847
0.11424
2.776445
0.031197
A. t Critical two-tail
B.
2.306004
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: 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 42650 5 Mean 8140 63450 8140 Mean 7760 Variance Observations Pooled Variance Hypothesized Me df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Variance 63450 42650 Observations Pearson Correlation -0.69059 Hypothesized Mear df t Stat P(T<-t) one-tail t Critical one-tail P(T<=t) two-tail 5 53050 4 2.014279 0.05712 2.608621 0.015599 1.859548 ww.es 2.131847 0.11424 2.776445 0.031197 A. t Critical two-tail B. 2.306004
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.a
wolsd novig od mo
td no b
ES
100
-0
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.a wolsd novig od mo td no b ES 100 -0
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