Question 1194299: 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: 8,380 8,210 8,360 7,840 7,910 Mine 2: 7,540 7,720 7,750 8,100 7,690
Use the 0.05 level of significance to test whether the difference between the means of these two samples is significant.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! mean M1=8140 with s1=251.9
mean M2=7760 with s2=206.5
sp=(s1^2+s2^2)/2
=230.32
Ho: means equal
Ha; they aren't equal
alpha=0.05 p{reject Ho|Ho true)
test is a t (0.975 df=8)
critical value is |t|>2.306
t=380/230.3*sqrt(1/5+1/5)=380/145.84
t=2.61, which is greater than the critical value, so reject Ho and conclude there is a difference at the 0.05 level.
p-value =0.03.
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