Mine 2: 7540 7720 7750 8100 7690 w are the EXCEL outputs of the data at 95% confidence le Test: Paired Two Sample for Means t-Test: Two-Samp MINE 1 MINE 2 8140 7760 Mean ean ariance bservations earson Correlation -0.69059 ypothesized Mear 63450 42650 Variance Observations Pooled Variance Hypothesized Me df 4 Stat 2.014279 t Stat

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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:
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
7760
8140
63450
Mean
Mean
8140
7760
Variance
42650
Variance
63450
42650
Observations
Pooled Variance
Observations
Pearson Correlation-0.69059
Hypothesized Mear
df
53050
Hypothesized Me
df
4
8
t Stat
P(T<=t) one-tail
t Critical one-tail
P(T<=t) two-tail
t Critical two-tail
2.014279
t Stat
2.608621
0.05712
P(T<=t) one-tail
t Critical one-tail
0.015599
1.859548
2.131847
0.11424
P(T<=t) two-tail
0.031197
2.306004
A.
2.776445
B. tCritical two-tail
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: 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 7760 8140 63450 Mean Mean 8140 7760 Variance 42650 Variance 63450 42650 Observations Pooled Variance Observations Pearson Correlation-0.69059 Hypothesized Mear df 53050 Hypothesized Me df 4 8 t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail 2.014279 t Stat 2.608621 0.05712 P(T<=t) one-tail t Critical one-tail 0.015599 1.859548 2.131847 0.11424 P(T<=t) two-tail 0.031197 2.306004 A. 2.776445 B. tCritical two-tail
23. What is the appropriate set of hypotheses for this test?
A. H,: µ1 - u2 <0 vs HA: 1 - 42>0
B. H,: µ1 – u2 = 0 vs HA: H- H2 + 0
C. H.: -2 0 vs HA: H1- 42 = 0
D. H,: µ1 - 2 0 vs HA: - 42>0
24 From the gien results above which tost
Transcribed Image Text:23. What is the appropriate set of hypotheses for this test? A. H,: µ1 - u2 <0 vs HA: 1 - 42>0 B. H,: µ1 – u2 = 0 vs HA: H- H2 + 0 C. H.: -2 0 vs HA: H1- 42 = 0 D. H,: µ1 - 2 0 vs HA: - 42>0 24 From the gien results above which tost
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